Measures of Central Tendency

Problem 1

Find the $z$ -score for $x = 7$ given $\mu = 4$ and $\sigma = 2$ using $z = \frac{x - \mu}{\sigma}$ .

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Problem 2

Medina dan Adi bermain catur. Medina menang 3 kali dan draw 2 kali. Apakah pernyataan berikut benar atau salah?
1. Skor Adi = 21
2. Skor Medina = 44
3. Total skor = 52

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Problem 3

Is the Garamycin dose of $35 \mathrm{mg}$ every $6 \mathrm{h}$ safe for a $42 \mathrm{lb}$ child? Justify your answer.

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Problem 4

Is a dose of Eryped drops $120 \mathrm{mg}$ every 6 hours safe for a 27-pound child given the safe range of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

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Problem 5

Compare the strikeout fractions: Home team: $\frac{12}{32}$ , Visiting team: $\frac{15}{35}$ . Which is greater?

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Problem 6

Find the largest value of $x$ in the student revision hours data if the median is 3. Hours: 1, 2, 3, 4, 5.

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Problem 7

A company has 125 employees with the following absence probabilities: $0$ days (0.60), $1$ day (0.20), $2$ days (0.12), $3$ days (0.04), $4$ days (0.04), $5$ days (0.00). Find the mean days absent.

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Problem 8

Calculate the 5-unit moving average of the function $f(x) = x^3 - x$ .

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Problem 9

Find missing frequencies f1 and f2 for the intervals 0-20, 20-40, 40-60, 60-80, 80-100, 100-120 with mean 57.6 and sum 50.

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Problem 10

Calculate the inflation rate from 2015 (CPI = 114.7) to 2016 (CPI = 124.5). Choose the correct option: a. $8.5\%$ , b. $14.7\%$ , c. $9.8\%$ , d. $7.9\%$ .

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Problem 11

1. Given exam scores: 92, 73, 86, 74, 69, 39, 64, 87, 85, 94, 60, 91, 40, 69, 60, 66, 76, 89, 71, 38, 80, 96, 69. a) Create a relative frequency table (lower limit 38, width 9). b) Draw a relative frequency histogram. c) Find mode. d) Find median. e) Find mean. f) Find standard deviation. g) Find range. h) Find score at the $65^{\text{th}}$ percentile. i) Find percentile of 80. j) Create a stemplot. k) Create a boxplot.

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Problem 12

Define range, median, mode, and mean. Calculate the median for level 2B class marks given level 2A's median is 58.

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Problem 13

Find the mode, median, mean, and range of the following percentages: 60, 84, 82, 66, 96, 60, 90, 64, 66, 76.

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Problem 14

Calculate the expected rate of return for investments $X$ and $Y$ based on last year's data, then recommend one.

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Problem 15

Three friends make lemonade. Who has the strongest lemon flavor based on the ratios of lemon juice to lemonade? Use unit rates.

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Problem 16

Two teams paint fences. Blue Team: 15 m² in 6 hrs; Red Team: 8 m² in 4 hrs. Which team is faster? Compare rates: $2.5 > 2$ .

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Problem 17

Find five positive integers with a mean of 12, a median of 15, and a mode of 21. What are the numbers?

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Problem 18

Calculate the percentage of adjourned cases from judges on June 21, 2014. Options: A. $62.5\%$ , B. $65\%$ , C. $30\%$ , D. None.

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Problem 19

Find the median of the set $2,2,5,1,6,7,7$ . Options: A) 5, B) 1, C) 3, D) 4.

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Problem 20

Find the median of $2,2,5,1,6,7,7$ and the union of $A=\{a, b, c, d\}$ and $B=\{b, c, 1, 2\}$ .

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Problem 21

What is the average age of Aaron's basketball team given ages: Jon 8, Jim 9, Bill 6, Aaron 9, Bob 8?

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Problem 22

Calculate the 4-day moving average for days 4-12 of the DJIA. If day 13 closes at 20,660, should you buy or sell? Justify.

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Problem 23

Select the best alternative based on present worth: A: $-25,000$ , B: $-12,000$ , C: $10,000$ . Which to choose?

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Problem 24

Find the mode, median, and mean of the weekly wages of 65 employees: 55 (8), 65 (10), 785 (16), 85 (14), 95 (10), 105 (5), 115 (2).

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Problem 25

Convert Peter's 15/20, Khando's 7/10, and Mellisa's 17/25 to percentages to find who scored the highest.

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Problem 26

Which option is true about the data sets $X = \{6, 8, 10, 12, 14\}$ and $Y = \{3, 4, 5, 24, 7\}$ ? A) $Y$ is skewed. B) $X$ has no mode. C) Mean of $Y$ is 5. D) Both are symmetrical.

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Problem 27

Calculate the median of the following rates: € 1.19, € 1.15, € 1.16, € 1.17, € 1.17, € 1.15, € 1.16, € 1.18, € 1.17, € 1.19, € 1.18, € 1.20.

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Problem 28

Find the mode and median of the ages of 21 students: 16 (6), 17 (3), 18 (8), 19 (4) years.

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Problem 29

Find the mode and median of the button counts: 30 (2), 32 (5), 28 (3), 33 (1).

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Problem 30

Calculate the mean race time for 15 runners with the following times: 10 (4), 11 (5), 12 (3), 14 (2), 15 (1) minutes.

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Problem 31

15 students scored goals: 8 scored 1, 4 scored 2, 2 scored 3, 1 scored 4. Find the mode and median of goals scored.

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Problem 32

Complete the frequency table and find the mean, given $\Sigma f = 113$ and $\Sigma f x = 292$ .

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Problem 33

Calculate the average distance walked by the group using the data: 8, 10, 12, 14, 16, 20 miles with respective walkers.

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Problem 34

Complete the frequency table, calculate the mean ( $\frac{292}{113} \approx 2.6$ ), and find the median.

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Problem 35

Find the mean number of books sold given the frequency data: 0 (2), 1 (4), 2 (3), 3 (6), 4 (3), 5 (2).

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Problem 36

Calculate the mean rate charged for rooms based on the rates: £120 (26), £90 (4), £100 (0), £140 (12), £155 (3).

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Problem 37

Calculate the mean rate charged for rooms occupied that night given the rates: Double £120, Single £90, Superior £100, Double with View £140, King with View £155.

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Problem 38

Complete the table and find the mean number of apples, given frequencies and products: $x$ , $f$ , and $fx$ .

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Problem 39

Calculate the estimated mean revision time for 120 students given the following time intervals and frequencies:
$0<t \leq 15$ : 0, $15<t \leq 30$ : 20, $30<t \leq 45$ : 50, $45<t \leq 60$ : 50.

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Problem 40

(a) Fill in the missing values in the frequency distribution table. (b) Find the mean: $\frac{292}{113} \approx 2.6$ . (c) Determine the median. (d) Create a frequency histogram.

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Problem 41

Find the central tendency measures (mode, median, mean) and compute range, IQR, quartile deviation, and standard deviation for the data: Marks: 0-20 (5), 20-40 (15), 40-60 (30), 60-80 (8), 80-100 (2).

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Problem 42

Find the mean wind chill temperature in degrees Fahrenheit for these values: -5, -4, 3, -11, 2, -8, 5, -6.

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Problem 43

Sort the clinic visitor data, find the mode, and determine the median from these numbers: 34, 6, 23, 12, 37, 3, 28, 8, 22, 17, 26, 18, 12, 16, 11, 23, 39, 15, 31, 12, 10, 19, 14, 25, 20, 9.

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Problem 44

Find the mode, median, and mean of the quiz scores: 5 (9), 8 (15), 9 (5), 10 (1). Total students = 30. Median =

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Problem 45

Find the mode, median, and mean of the weights given: 60 (8), 65 (6), 70 (4), 75 (2) for 20 students.

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Problem 46

Find the mean, median, and mode for the data set: 14, 10, 16, 14, 11.

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Problem 47

Calculate the percentage of students who preferred morning from a class of 30 students: Morning: 3, Afternoon: 3, Evening: 6, Night: 18.

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Problem 48

Find the mean of the following numbers: 28, 40, 53, 39, 45.

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Problem 49

Calculate the mean of the data set: $28, 40, 53, 39, 45$ .

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Problem 50

Find the median of the following data set: 15, 19, 24, 12, 9, 24, 19, 16, 21, 12.

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Problem 51

Find the mean of the walking times: 10 (1), 15 (2), 20 (2), 25 (1) minutes. Use frequencies to calculate.

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Problem 52

Find the median of miles to the nearest airport given the data: 20 (3), 22 (2), 24 (1), 26 (4).

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Problem 53

A survey of high-school students showed 294 white and 75 minority graduates. What percent are white? Round to one decimal place.

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Problem 54

Summarize the ethnic distribution of 1772 qualified applicants: $\square \%$ Black or Hispanic, $\square \%$ Asian, $\square \%$ White.

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Problem 55

A high school surveyed students about post-graduation plans. What percent are white and planning for a 2-year college?

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Problem 56

A high school survey shows plans of graduates. Calculate the following percentages based on the data provided.

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Problem 57

A high school survey shows plans of white and minority students. Find percentages for parts a) to c) based on the data.

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Problem 58

Find the modal class of wallaby heights and estimate the mean and standard deviation from the given frequency data.

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Problem 59

Find the modal class of wallaby heights and estimate the mean and standard deviation from the data given.

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Problem 60

Al surveyed 60 people on restaurant spending.
a) Identify the modal class.
b) Estimate the mean.
c) Estimate the standard deviation and discuss it.
d) Estimate the variance, range, and interquartile range, explaining why they are estimates.

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Problem 61

Miranda scored 6 points in periods 1 & 3, 8 in 2 & 4. Tamera scored 14 in periods 1 & 3. Who scored more points?

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Problem 62

Miranda scored 6 points in periods 1 & 3, 8 in 2 & 4. Tamera scored 14 in 1 & 3. Which statement is true? F, G, H, or J?

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Problem 63

Approximate the average rate of change of infections from 0 to 8 days after April 1, 2020, using $P(8) \approx 5.55$ .

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Problem 64

Miranda scored 6 points in periods 1 & 3, 8 in 2 & 4. Tamera scored 14 in periods 1 & 3. Which statement is true?

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Problem 65

Approximate the average rate of change of infections from 0 to 8 days after April 1, 2020, using $P(8) - P(0)$ .

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Problem 66

Find the average rate of change of infections from day 0 to day 16, given $P(0) = 3$ , $P(8) \approx 5.55$ , $P(16) \approx 10.28$ . Round to two decimal places in thousand people per day.

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Problem 67

Given 13 college students' credits: 8, 10, 11, 1, 1, 8, 7, 7, 7, 9, 7, 7, 8.
1. Calculate the mean. Discuss its validity.
2. Calculate the median. Discuss its validity.
3. Calculate the mode. Discuss its validity.

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Problem 68

Tucker sees 20-30 raccoons on clear nights and 10-15 on cloudy nights. What does this suggest about raccoon activity?

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Problem 69

Find the average rate of change of $Y$ over the interval $[-4, 4]$ using the values provided in the table.

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Problem 70

A computer's graphics program opens 8 seconds faster and the email program 5 seconds faster. Which has more improvement? Explain.

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Problem 71

The graphics program improved by -8 seconds and the email program by -5 seconds. Which improved more? Explain.

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Problem 72

A town has a population of $9000$ , with $\frac{5}{9}$ males. If $40\%$ of males are married, find the married females' percentage.

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Problem 73

A town has a population of $9000$ , with $\frac{3}{9}$ males. If $40\%$ of males are married, find the % of married females. (a) $50\%$ (b) $40\%$ (c) $45\%$ (d) None of these

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Problem 74

When you multiply a value by 100, the decimal moves two places right. Find the percentage of salt in 125 g seasoning with 74.0 g salt.

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Problem 75

Find the average score of the last four home games: $69, 79, 58, 66$ . Did they score more at home or away compared to an average of 61?

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Problem 76

What percent of students studied less than 10 minutes if Jeffrey studied for 25 minutes?

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Problem 77

Find the mean of a normal distribution where 1 SD above is 93 and 2 SD below is 39.

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Problem 78

Colorado has 62,885 births yearly for a population of $5,845,526$ . How many births for 100,000 people? Round to nearest whole number.

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Problem 79

Calculate the third moment of the numbers $2, 3, 4, 5, 6$ .

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Problem 80

Calculate the average exam grades for 10 students who studied ( $93, 96, 89, 88, 88, 99, 78, 96, 98, 75$ ) and 10 who didn't ( $64, 72, 70, 63, 56, 49, 88, 66, 76, 76$ ). Provide answers to two significant figures.

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Problem 81

In a chemistry test, 18 out of 49 students got Bs. What percent is this? Round to the nearest whole number.

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Problem 82

In a chemistry test, 12 students got As, 18 got Bs, and 19 got Cs. Find the percentage of Bs and Cs to the nearest whole number.

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Problem 83

In a chemistry test, 13 got As, 17 got Bs, and 19 got Cs. Find the percent of students with Bs and Cs to the nearest whole number.

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Problem 84

In a class of 49 students, 17 got Bs and 19 got Cs. Find the percent of students with Bs and Cs to the nearest whole number.

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Problem 85

Compare the mean and median of the daily highs: $65, 75, 69, 74, 57, 60, 60$ . Which is greater?

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Problem 86

Find the Mean, Median, & Mode of the numbers: 5, 10, 7, 7, 6 and 5, 6, 7, 7, 10.

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Problem 87

Analyze 400 Saturday night accidents for vehicle count and alcohol involvement. Answer the proportion questions below:
15. Proportion of accidents with >1 vehicle? (a) $\frac{50}{400}$ (12.5\%) (b) $\frac{75}{400}$ (18.75\%) (c) $\frac{275}{400}$ (68.75\%) (d) $\frac{325}{400}$ (81.25\%)
16. Proportion of accidents with alcohol & 1 vehicle? (a) $\frac{25}{400}$ (6.25\%) (b) $\frac{50}{400}$ (12.5\%) (c) $\frac{195}{400}$ (48.75\%) (d) $\frac{245}{400}$ (61.25\%)
17. Proportion of accidents with alcohol or 1 vehicle? (a) $\frac{25}{400}$ (6.25\%) (b) $\frac{50}{400}$ (12.5\%) (c) $\frac{195}{400}$ (48.75\%) (d) $\frac{245}{400}$ (61.25\%)
18. Given alcohol, proportion with 1 vehicle? (a) $\frac{50}{75}$ (66.67\%) (b) $\frac{50}{170}$ (29.41\%) (c) $\frac{120}{170}$ (70.59\%) (d) $\frac{120}{400}$ (30\%)
19. Given multiple vehicles, proportion with alcohol? (a) $\frac{120}{170}$ (70.59\%) (b) $\frac{120}{230}$ (52.17\%) (c) $\frac{120}{325}$ (36.92\%) (d) $\frac{120}{400}$ (30\%)
20. Given 3 vehicles, proportion with alcohol? (a) $\frac{20}{30}$ (66.67\%) (b) $\frac{20}{50}$ (40\%) (c) $\frac{20}{170}$ (11.77\%) (d) $\frac{20}{400}$ (5\%)

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Problem 88

Find the mean and median of Mike's contributions: \$50, \$80, \$60, \$50, and \$90.

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Problem 89

Find the client with the lowest cardiac risk by calculating total cholesterol divided by HDL. Client A: Total cholesterol 224 mg/dL, HDL 38 mg/dL.

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Problem 90

Calculate the mean age of 6 people with ages 14, 9, 9, 15, 13, and 31. Round to the nearest tenth of a year.

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Problem 91

Find the mode of these numbers: 75, 61, 57, 42, 31, 66, 47, 66, 76, 57. Enter DNE if no mode exists.

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Problem 92

Find the median of the numbers: 56, 89, 29, 85, 26, 3, 72, 41, 30, 86, 22, 55, 66, 58, 36. Median =

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Problem 93

Find the mode of these numbers: 78, 29, 79, 55, 40, 53, 21, 47, 38, 28. Enter DNE if no mode exists.

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Problem 94

Find the mean, median, and mode of the data set: 45.4, 75.2, 38.8, 56.6, 40.4, 75.2, 62.9, 75.2, 53.1, 59.8. Round to two decimal places.

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Problem 95

Find the mean, median, and mode for these tourist nationalities: French (22), Dominican (19), Japanese (32), Filipino (35).

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Problem 96

Find the mean, median, and mode for the nationalities: French (11), Dominican (20), Japanese (26), Filipino (35).

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Problem 97

Given the frequency distribution, find the mean, median, and mode of the data set. Round to two decimal places.

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Problem 98

Approximate the mean for the given frequency distribution:
Class: $50-54$ (1), $55-59$ (3), $60-64$ (8), $65-69$ (14), $70-74$ (17), $75-79$ (15), $80-84$ (7), $85-89$ (4), $90-94$ (1).
Round to one decimal place.

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Problem 99

Calculate your final course average using the weights: Tests (13\%), Labs (10\%), Homework (32\%), Final Exam (45\%). Grades: Tests (75\%), Labs (54\%), Homework (63\%), Final Exam (84\%). What is your weighted average?

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Problem 100

Find the average daily balance for a credit card with balances of \$2,300 for 10 days, \$3,910 for 9 days, and \$1,820 for 12 days.

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98

Measures of Central Tendency

Problem 1

Find the z z z-score for x=7 x = 7 x=7 given μ=4 \mu = 4 μ=4 and σ=2 \sigma = 2 σ=2 using z=x−μσ z = \frac{x - \mu}{\sigma} z=σx−μ​.

Problem 2

Medina dan Adi bermain catur. Medina menang 3 kali dan draw 2 kali. Apakah pernyataan berikut benar atau salah? 1. Skor Adi = 212. Skor Medina = 443. Total skor = 52

Problem 3

Is the Garamycin dose of 35mg35 \mathrm{mg}35mg every 6h6 \mathrm{h}6h safe for a 42lb42 \mathrm{lb}42lb child? Justify your answer.

Problem 4

Is a dose of Eryped drops 120mg120 \mathrm{mg}120mg every 6 hours safe for a 27-pound child given the safe range of 30−50mg/kg/day30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}30−50mg/kg/day?

Problem 5

Compare the strikeout fractions: Home team: 1232\frac{12}{32}3212​, Visiting team: 1535\frac{15}{35}3515​. Which is greater?

Problem 6

Find the largest value of xxx in the student revision hours data if the median is 3. Hours: 1, 2, 3, 4, 5.

Problem 7

A company has 125 employees with the following absence probabilities: 000 days (0.60), 111 day (0.20), 222 days (0.12), 333 days (0.04), 444 days (0.04), 555 days (0.00). Find the mean days absent.

Problem 8

Calculate the 5-unit moving average of the function f(x)=x3−xf(x) = x^3 - xf(x)=x3−x.

Problem 9

Find missing frequencies f1 and f2 for the intervals 0-20, 20-40, 40-60, 60-80, 80-100, 100-120 with mean 57.6 and sum 50.

Problem 10

Calculate the inflation rate from 2015 (CPI = 114.7) to 2016 (CPI = 124.5). Choose the correct option: a. 8.5%8.5\%8.5%, b. 14.7%14.7\%14.7%, c. 9.8%9.8\%9.8%, d. 7.9%7.9\%7.9%.

Problem 11

Problem 12

Define range, median, mode, and mean. Calculate the median for level 2B class marks given level 2A's median is 58.

Problem 13

Find the mode, median, mean, and range of the following percentages: 60, 84, 82, 66, 96, 60, 90, 64, 66, 76.

Problem 14

Calculate the expected rate of return for investments XXX and YYY based on last year's data, then recommend one.

Problem 15

Three friends make lemonade. Who has the strongest lemon flavor based on the ratios of lemon juice to lemonade? Use unit rates.

Problem 16

Two teams paint fences. Blue Team: 15 m² in 6 hrs; Red Team: 8 m² in 4 hrs. Which team is faster? Compare rates: 2.5>22.5 > 22.5>2.

Problem 17

Find five positive integers with a mean of 12, a median of 15, and a mode of 21. What are the numbers?

Problem 18

Calculate the percentage of adjourned cases from judges on June 21, 2014. Options: A. 62.5%62.5\%62.5%, B. 65%65\%65%, C. 30%30\%30%, D. None.

Problem 19

Find the median of the set 2,2,5,1,6,7,72,2,5,1,6,7,72,2,5,1,6,7,7. Options: A) 5, B) 1, C) 3, D) 4.

Problem 20

Find the median of 2,2,5,1,6,7,72,2,5,1,6,7,72,2,5,1,6,7,7 and the union of A={a,b,c,d}A=\{a, b, c, d\}A={a,b,c,d} and B={b,c,1,2}B=\{b, c, 1, 2\}B={b,c,1,2}.

Problem 21

What is the average age of Aaron's basketball team given ages: Jon 8, Jim 9, Bill 6, Aaron 9, Bob 8?

Problem 22

Calculate the 4-day moving average for days 4-12 of the DJIA. If day 13 closes at 20,660, should you buy or sell? Justify.

Problem 23

Select the best alternative based on present worth: A: −25,000-25,000−25,000, B: −12,000-12,000−12,000, C: 10,00010,00010,000. Which to choose?

Problem 24

Find the mode, median, and mean of the weekly wages of 65 employees: 55 (8), 65 (10), 785 (16), 85 (14), 95 (10), 105 (5), 115 (2).

Problem 25

Convert Peter's 15/20, Khando's 7/10, and Mellisa's 17/25 to percentages to find who scored the highest.

Problem 26

Which option is true about the data sets X={6,8,10,12,14}X = \{6, 8, 10, 12, 14\}X={6,8,10,12,14} and Y={3,4,5,24,7}Y = \{3, 4, 5, 24, 7\}Y={3,4,5,24,7}? A) YYY is skewed. B) XXX has no mode. C) Mean of YYY is 5. D) Both are symmetrical.

Problem 27

Calculate the median of the following rates: € 1.19, € 1.15, € 1.16, € 1.17, € 1.17, € 1.15, € 1.16, € 1.18, € 1.17, € 1.19, € 1.18, € 1.20.

Problem 28

Find the mode and median of the ages of 21 students: 16 (6), 17 (3), 18 (8), 19 (4) years.

Problem 29

Find the mode and median of the button counts: 30 (2), 32 (5), 28 (3), 33 (1).

Problem 30

Calculate the mean race time for 15 runners with the following times: 10 (4), 11 (5), 12 (3), 14 (2), 15 (1) minutes.

Problem 31

15 students scored goals: 8 scored 1, 4 scored 2, 2 scored 3, 1 scored 4. Find the mode and median of goals scored.

Problem 32

Complete the frequency table and find the mean, given Σf=113\Sigma f = 113Σf=113 and Σfx=292\Sigma f x = 292Σfx=292.

Problem 33

Calculate the average distance walked by the group using the data: 8, 10, 12, 14, 16, 20 miles with respective walkers.

Problem 34

Complete the frequency table, calculate the mean (292113≈2.6\frac{292}{113} \approx 2.6113292​≈2.6), and find the median.

Problem 35

Find the mean number of books sold given the frequency data: 0 (2), 1 (4), 2 (3), 3 (6), 4 (3), 5 (2).

Problem 36

Calculate the mean rate charged for rooms based on the rates: £120 (26), £90 (4), £100 (0), £140 (12), £155 (3).

Problem 37

Calculate the mean rate charged for rooms occupied that night given the rates: Double £120, Single £90, Superior £100, Double with View £140, King with View £155.

Problem 38

Complete the table and find the mean number of apples, given frequencies and products: xxx, fff, and fxfxfx.

Problem 39

Calculate the estimated mean revision time for 120 students given the following time intervals and frequencies: 0<t≤150<t \leq 150<t≤15: 0, 15<t≤3015<t \leq 3015<t≤30: 20, 30<t≤4530<t \leq 4530<t≤45: 50, 45<t≤6045<t \leq 6045<t≤60: 50.

Problem 40

(a) Fill in the missing values in the frequency distribution table. (b) Find the mean: 292113≈2.6\frac{292}{113} \approx 2.6113292​≈2.6. (c) Determine the median. (d) Create a frequency histogram.

Find the $z$ -score for $x = 7$ given $\mu = 4$ and $\sigma = 2$ using $z = \frac{x - \mu}{\sigma}$ .

Medina dan Adi bermain catur. Medina menang 3 kali dan draw 2 kali. Apakah pernyataan berikut benar atau salah?
1. Skor Adi = 21
2. Skor Medina = 44
3. Total skor = 52

Is the Garamycin dose of $35 \mathrm{mg}$ every $6 \mathrm{h}$ safe for a $42 \mathrm{lb}$ child? Justify your answer.

Is a dose of Eryped drops $120 \mathrm{mg}$ every 6 hours safe for a 27-pound child given the safe range of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

Compare the strikeout fractions: Home team: $\frac{12}{32}$ , Visiting team: $\frac{15}{35}$ . Which is greater?

Find the largest value of $x$ in the student revision hours data if the median is 3. Hours: 1, 2, 3, 4, 5.

A company has 125 employees with the following absence probabilities: $0$ days (0.60), $1$ day (0.20), $2$ days (0.12), $3$ days (0.04), $4$ days (0.04), $5$ days (0.00). Find the mean days absent.

Calculate the 5-unit moving average of the function $f(x) = x^3 - x$ .

Calculate the inflation rate from 2015 (CPI = 114.7) to 2016 (CPI = 124.5). Choose the correct option: a. $8.5\%$ , b. $14.7\%$ , c. $9.8\%$ , d. $7.9\%$ .

Calculate the expected rate of return for investments $X$ and $Y$ based on last year's data, then recommend one.

Two teams paint fences. Blue Team: 15 m² in 6 hrs; Red Team: 8 m² in 4 hrs. Which team is faster? Compare rates: $2.5 > 2$ .

Calculate the percentage of adjourned cases from judges on June 21, 2014. Options: A. $62.5\%$ , B. $65\%$ , C. $30\%$ , D. None.

Find the median of the set $2,2,5,1,6,7,7$ . Options: A) 5, B) 1, C) 3, D) 4.

Find the median of $2,2,5,1,6,7,7$ and the union of $A=\{a, b, c, d\}$ and $B=\{b, c, 1, 2\}$ .

Select the best alternative based on present worth: A: $-25,000$ , B: $-12,000$ , C: $10,000$ . Which to choose?

Which option is true about the data sets $X = \{6, 8, 10, 12, 14\}$ and $Y = \{3, 4, 5, 24, 7\}$ ? A) $Y$ is skewed. B) $X$ has no mode. C) Mean of $Y$ is 5. D) Both are symmetrical.

Complete the frequency table and find the mean, given $\Sigma f = 113$ and $\Sigma f x = 292$ .

Complete the frequency table, calculate the mean ( $\frac{292}{113} \approx 2.6$ ), and find the median.

Complete the table and find the mean number of apples, given frequencies and products: $x$ , $f$ , and $fx$ .

Calculate the estimated mean revision time for 120 students given the following time intervals and frequencies:
$0<t \leq 15$ : 0, $15<t \leq 30$ : 20, $30<t \leq 45$ : 50, $45<t \leq 60$ : 50.

(a) Fill in the missing values in the frequency distribution table. (b) Find the mean: $\frac{292}{113} \approx 2.6$ . (c) Determine the median. (d) Create a frequency histogram.

Calculate the mean of the data set: $28, 40, 53, 39, 45$ .

Summarize the ethnic distribution of 1772 qualified applicants: $\square \%$ Black or Hispanic, $\square \%$ Asian, $\square \%$ White.

Al surveyed 60 people on restaurant spending.
a) Identify the modal class.
b) Estimate the mean.
c) Estimate the standard deviation and discuss it.
d) Estimate the variance, range, and interquartile range, explaining why they are estimates.

Approximate the average rate of change of infections from 0 to 8 days after April 1, 2020, using $P(8) \approx 5.55$ .

Approximate the average rate of change of infections from 0 to 8 days after April 1, 2020, using $P(8) - P(0)$ .

Find the average rate of change of infections from day 0 to day 16, given $P(0) = 3$ , $P(8) \approx 5.55$ , $P(16) \approx 10.28$ . Round to two decimal places in thousand people per day.

Given 13 college students' credits: 8, 10, 11, 1, 1, 8, 7, 7, 7, 9, 7, 7, 8.
1. Calculate the mean. Discuss its validity.
2. Calculate the median. Discuss its validity.
3. Calculate the mode. Discuss its validity.

Find the average rate of change of $Y$ over the interval $[-4, 4]$ using the values provided in the table.

A town has a population of $9000$ , with $\frac{5}{9}$ males. If $40\%$ of males are married, find the married females' percentage.

A town has a population of $9000$ , with $\frac{3}{9}$ males. If $40\%$ of males are married, find the % of married females. (a) $50\%$ (b) $40\%$ (c) $45\%$ (d) None of these