Measures of Center & Spread

Which of the following is a measure of spread, or variability?

(select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• Range

A teacher records the following scores for 7 students on their previous test: 28, 84, 84, 85, 87, 89, 91. However, after looking at the scores closer, the teacher realizes that the student actually scored an 82 instead of a 28. Which of the following would NOT be affected by changing the 82 to a 28?

• Mean

• Median

• Standard Deviation

• Range

The table shows the number of points the top 5 players of each team scored. Which team has the higher standard deviation?

• Team A

• Team B

• The standard deviation for Team A is the same as Team B

A class scored 83,83,87,87,88,88,91,94,95,96,98,100,100 on a test, but then a student scored a 28.

The mean will ​ (a)  

The median will ​ (b)  

The ​ (c)   is the best measure of center for this data.

• decrease

• increase

• stay the same

• go up

• go down

• median

• mean

Which summary statistic should be used to compare the two data sets and why?

• The median and the interquartile range because they are normally distributed.

• The median and the interquartile range because they are skewed.

• The mean and the standard deviation because they are normally distributed.

• The mean and the standard deviation because they are skewed.

Which statistic measures how spread out the data values are in a data set?

• mean

• mode

• maximum value

• standard deviation

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

Calculate the median for the following set of scores

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

• 87

• 55

• 87.5

• 99

• Mode
• Median
• Mean
• IQR

Which club has the smaller spread, less variation?

• Cruisers

• Car Hops