Question

Below is a histogram showing the distributions of exam scores from two different statistics classes. Compare the distributions.

a. Same mean, different variance
b. Different mean, different variance
c. Different mean, same variance
d. Same mean, same variance

Answer 1

The answer is d. Same mean, same variance.

Step-by-step explanation:

The answer to the question is d. Same mean, same variance.

In order to compare the distributions of exam scores, we need to consider both the mean and the variance.

If the mean scores are the same for both classes, it means that the average performance of students in both classes is similar. If the variances are the same, it means that the spread of scores around the mean is similar for both classes.

Therefore, if both classes have the same mean and the same variance, it suggests that the performance and consistency of scores in both classes are similar.