games won\nc. calculate the interquartile range for this data set.

Explanation:

Step1: Order the data

Assume the data points from the number - line are (6, 8, 10, 12, 16, 20, 24, 28, 32).

Step2: Find the median (Q2)

There are (n = 9) data points. The median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{9+1}{2}=5) - th value. So (Q2=16).

Step3: Find the lower half

The lower half of the data is (6, 8, 10, 12).

Step4: Find Q1

Since there are (n = 4) data points in the lower - half, (Q1=\frac{8 + 10}{2}=9).

Step5: Find the upper half

The upper half of the data is (20, 24, 28, 32).

Step6: Find Q3

Since there are (n = 4) data points in the upper - half, (Q3=\frac{24+28}{2}=26).

Step7: Calculate the inter - quartile range (IQR)

(IQR=Q3 - Q1). So (IQR=26 - 9 = 17).

Answer:

17