Solved on Oct 31, 2023
Compute the mean, median, and mode of concrete strengths (in psi) from 9 randomly selected casts: 3950, 4100, 3200, 3000, 2940, 3830, 4100, 4050, 3680. The mean is psi, the median is psi, and the mode is psi.
STEP 1
Assumptions1. The strength of the concrete casts are represented by the following data points3950,4100,3200,3000,2940,3830,4100,4050,3680 psi.
. We are asked to compute the mean, median, and mode of these data points.
3. The mean is calculated by summing all the data points and dividing by the number of data points.
4. The median is the middle value when the data points are arranged in ascending order. If there is an even number of data points, the median is the average of the two middle values.
5. The mode is the data point that appears most frequently.
STEP 2
First, we need to calculate the sum of all the data points.
STEP 3
Calculate the sum.
STEP 4
Now, we can calculate the mean by dividing the sum by the number of data points (9).
STEP 5
Plug in the values for the sum and the number of data points to calculate the mean.
STEP 6
Calculate the mean.
STEP 7
Next, we need to find the median. First, arrange the data points in ascending order.
STEP 8
The median is the middle value. Since there are data points, the median is the5th value.
STEP 9
Finally, we need to find the mode. The mode is the data point that appears most frequently. In this case, the value410 appears twice, more than any other value.
The mean strength of the concrete is4088.9 psi of pressure.
The median strength of the concrete is383 psi of pressure.
The mode of the strengths of the concrete is410 psi of pressure.
Was this helpful?
