Question

The following data points represent the number of points scored by each player on the Wildcats basketball team last game.

Sort the data from least to greatest.
(4,5,5,8,8,8,9,12,13)
Find the median number of points.

Answer 1

The interquartile range is 5, and 8 is the median.

The data sorted from least to greatest is:

4, 5, 6, 8, 9, 10, 11, 13.

• IQR = Q3 - Q1
• To find both the Q3 and Q1, we have to look at 8 and 9.
• 8 + 9/2 = 8.5
• The first quartile is the median of the data points left OF THE MEDIAN.
• 4, 5, 6, 8.
• Q1 = 5 + 6/2 = 11/2 = 5.5
• IQR = Q3 - Q1
• = 10.5 - 5.5
• = 5

Answer 2

8 is the median number