Question

the parallel dotplots below display the number of hours spent studying for a final exam by each of two classes. which of the following is a true statement? the range for the distribution of the number of hours spent studying for calculus is larger. the range for the distribution of the number of hours spent studying for statistics is larger. there is a larger standard deviation in the distribution of the number of hours spent studying for calculus. the standard deviation for the distributions of number of hours spent studying is the same for both classes.

Explanation:

Step1: Calculate the range for Statistics

Range = Maximum - Minimum. From the dot - plot, for Statistics: Maximum is \(6\) and Minimum is \(0\). So range \(=6 - 0=6\).

Step2: Calculate the range for Calculus

For Calculus: Maximum is \(6\) and Minimum is \(0\). So range \(=6 - 0 = 6\). So the first two options (about range) are wrong.

Step3: Analyze the spread (related to standard deviation)

Standard deviation measures the spread of data. The data for Calculus is more spread out (dots are more dispersed across different values of hours) compared to Statistics (dots are more clustered around a few values).

Answer:

There is a larger standard deviation in the distribution of the number of hours spent studying for calculus.