1 Students watched 2 videos, and rated them on a scale of 1 to 10. The average score for every video is the same (5.5).

Movie A

Histogram with 6 columns whose respective heights from left to right are 1, 1, 3, 3, 1, 1

Comparing the two graphs, we know that:

  • ❏ The scores for Movie A have greater variability.

  • ❏ The scores for Movie B have greater variability.

  • ❏ The scores for Movie A and Movie B have equal variability.

  • ❏ It is impossible to tell from the given information.

Movie B

Histogram with 11 bars whose heights from left to right are 0,2,2,1,0,0,0,0,1,2,2

Explain how you arrived at your answer:

2 The following graphs show the distribution of quiz scores for two classes.

Class 1

A symmetric histogram

Comparing the two graphs, we know that:

  • ❏ The quiz scores of Class 1 have greater variability.

  • ❏ The quiz scores of Class 2 have greater variability.

  • ❏ The quiz scores of Class 1 and Class 2 have equal variability.

  • ❏ It is impossible to tell from the given information.

Class 2

A symmetric histogram

Explain how you arrived at your answer:

3 Caro says, "Flatter histograms always show less variability." Is she correct? Explain why you agree or disagree with Caro.

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). CCbadge Bootstrap by the Bootstrap Community is licensed under a Creative Commons 4.0 Unported License. This license does not grant permission to run training or professional development. Offering training or professional development with materials substantially derived from Bootstrap must be approved in writing by a Bootstrap Director. Permissions beyond the scope of this license, such as to run training, may be available by contacting contact@BootstrapWorld.org.