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Question for-th

3.3 One-Variable Data & Statistics - Standard deviation (conceptual)
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  • For the dot plot titled Class A:
    • The number line ranges from 1 to 7 in increments of 1.
    • The data for the dot plot are as follows:
      • 1: 1 dot
      • 2: 1 dot
      • 3: 3 dots
      • 4: 4 dots
      • 5: 5 dots
      • 6: 6 dots
      • 7: 7 dots
  • For the dot plot titled Class B:
    • The number line ranges from 14 to 20 in increments of 1.
    • The data for the dot plot are as follows:
      • 14: 1 dot
      • 15: 1 dot
      • 16: 3 dots
      • 17: 4 dots
      • 18: 5 dots
      • 19: 6 dots
      • 20: 7 dots

Each of the dot plots shown represents the number of glue sticks brought in by each student for two classes, class A and class B. Which statement best compares the standard deviations of the numbers of glue sticks brought in by each student for these two classes?

A.

The standard deviation of the number of glue sticks brought in by each student for class A is less than the standard deviation of the number of glue sticks brought in by each student for class B.

B.

The standard deviation of the number of glue sticks brought in by each student for class A is equal to the standard deviation of the number of glue sticks brought in by each student for class B.

C.

The standard deviation of the number of glue sticks brought in by each student for class A is greater than the standard deviation of the number of glue sticks brought in by each student for class B.

D.

There is not enough information to compare these standard deviations.