P&S Spring 2025 Diagnostic Test

What do you do if there are two numbers in "the middle" when you are finding the median?

• Pick your favorite number
• Add the two numbers in the middle & then divide by two.
• They are both the median
• None of the above

In order to find the median, the data must be sorted from least to greatest first.

• True
• False

Mr. Ireland bowled 12 games last weekend. His scores were: 155, 165, 138, 172, 127, 193, 142, 180, 201, 176, 199, 100 What is the median of Mr. Ireland's scores? (Make sure you can calculate this by hand)

• 150.6

• 140

• 168.5

• 162.3

Find the median, mode and range: 
3, 5, 7, 9, 11, 8, 3

• median:7  mode:3  range:10
• median:6  mode:3  range:7
• median:7  mode:3 range:8

Calculate the range of the following

2, 5, 8, 3, 13, 5

• 11
• 13
• 5
• 8

calculate the median for the following set of scores

45, 69, 69, 87, 88, 92, 99, 100

• 87
• 55
• 87.5
• 99

What is this called: The median of the first half of the data

• quartile 1 $Q_1$

• quartile 2 $Q_2$

• quartile 3 $Q_3$

• mean

Which measure of variation is the difference between the first quartile and the third quartile?

• mean

• range

• interquartile range (IQR)

• median

What is this called: The median of the second half of the data

• first quartile $Q_1$

• second quartile $Q_2$

• third quartile $Q_3$

• mean

Find the interquartile range using the following data.
18, 15, 22, 16, 17, 15, 12, 22, 13

• 34
• 16
• 6
• 10