Question

A test was given to two sections of the same course. In Section 1, the test mean was 51 and the standard deviation was 7. In Section 2, the test mean was 51 and the standard deviation was 13. Which of the following conclusions is accurate?

a. Section 1 did less well on the test than Section 2.

b. Section 1 did better on the test than Section 2.

c. Section 1 scores were more variable than Section 2.

d. Section 1 scores were less variable than Section 2.

Answer 1

A test was given to two sections of the same scores; In section 1, the test mean was 51 and the standard deviation was 7. In section 2, the test mean was 51 and the standard deviation was 13.

Now, more standard deviation means more variability.

This means that, though the means of the two sections are same, the test scores of section 2, which has standard deviation of 13, is more variable the test scores of section 1, which has standard deviation of 7.

So, the correct answer is option (d) Section 1 scores were less variable than Section 2.