Question

Ten students each attempted 10 free throws. This list shows how many free throws each

student made: 8, 5, 6, 6, 4, 9, 7, 6, 5, 9
1. What is the median number of free throws made?
2. What is the IQR (interquartile range)?

Answer 1

• Median = 6
• IQR = 3

Explanation:

Given data:

• 8, 5, 6, 6, 4, 9, 7, 6, 5, 9

Put this into ascending order:

• 4, 5, 5, 6, 6, 6, 7, 8, 9, 9

Median is 6 as both middle numbers are same = 6

Split the data into lower and upper halves:

• (4, 5, 5, 6, 6)(6, 7, 8, 9, 9)

Q1 is the median of the lower half:

• Q1 = 5

Q3 is the median of the upper half:

• Q3 = 8

IQR is the difference of Q3 and Q1

• IQR = 8 - 5 = 3