Question

question 3 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.

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the amount of variation or dispersion of a set of values. A smaller spread of data points around the mean indicates a smaller standard deviation, and a larger spread indicates a larger standard deviation.

Step2: Analyze dot - plots

For class A, the data points are clustered around values 4 - 7. For class B, the data points are clustered around values 17 - 20. The range of values for class A is from 1 to 7 (range = 7 - 1=6), and for class B is from 14 to 20 (range = 20 - 14 = 6). But the values in class A are more spread out from the center of the cluster compared to class B. The data for class A has more variability.

Answer:

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.