Measures of Variability Quiz

Which of the following measures represents the difference between the highest and lowest values in a data set?

• Mean

• Variance

• Range

• Standard Deviation

What is the range of the following test scores: 78, 85, 92, 88, 70, 95?

• 20

• 25

• 85

• 95

Which measure of variability describes the average of the squared differences from the mean?

• Range

• Mean Absolute Deviation

• Variance

• Standard Deviation

If the variance of a dataset is 16, what is its standard deviation?

• 4

• 8

• 32

• 256

What does a standard deviation of 0 mean?

• All data values are equal to 0.

• All data values are exactly the same

• The mean of the data is 0.

• The data is highly spread out.

Section A has a standard deviation of 3.5 in their math test, while Section B has a standard deviation of 8.2. What can you conclude?

• Section A has higher scores than Section B.

• Section B is more consistent in their scores than Section A.

• Section A is more consistent in their scores than Section B

• Section B has a higher passing rate.

Two basketball players are being considered for a varsity team. Player A has a scoring average of 15 points with a range of 4. Player B has a scoring average of 15 points with a range of 18. If the coach wants a consistent player, who should be chosen?

• Player A

• Player B

• Either, they average the same.

• Neither player is good.

A high variance in a student’s quarterly grades indicates that:

• The student performs consistently across all subjects.

• The student’s grades fluctuate significantly between subjects

• The student has mostly failing grades.

• The student has mostly perfect grades.

Which of the following is TRUE about measures of variability?

• They measure the center of the data.

• A smaller measure of variability means the data is widely spread.

• They describe how spread out the data values are from each other

• They can be negative numbers.

A teacher wants to show the performance of her students in a recent 50-item exam. Which graph is most appropriate to show the frequency of scores grouped into intervals?

• Pie Chart

• Line Graph

• Histogram

• Pictograph