Solved on Nov 14, 2023
Find the 10th percentile of the number of cars sold per week by the 65 car salespersons. The data shows that 14 sell 5 cars, 19 sell 6 cars, 12 sell 7 cars, 9 sell 8 cars, and 11 sell 9 cars.
STEP 1
Assumptions1. The total number of car salespersons is65.
. The number of cars sold by each salesperson per week is as follows14 sell5 cars,19 sell6 cars,12 sell7 cars,9 sell8 cars, and11 sell9 cars.
3. The10th percentile is the value below which10% of the observations fall.
STEP 2
First, we need to calculate the total number of cars sold by all the salespersons. This can be done by multiplying the number of cars sold by the number of salespersons for each category, then summing these values.
STEP 3
Now, plug in the given values to calculate the total number of cars sold.
STEP 4
Calculate the total number of cars sold.
STEP 5
Next, we need to calculate the10th percentile of the total number of cars sold. This can be done by multiplying the total number of cars sold by0.10.
STEP 6
Now, plug in the value for the total number of cars sold to calculate the10th percentile.
STEP 7
Calculate the10th percentile.
However, since we cannot have a fraction of a car, we round this number down to the nearest whole number.
So, the10th percentile of cars sold by the salespersons is43 cars.
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