On a nationwide test taken by high schodi stubents, the thean soore was 52 and whe standard devation was 13 . the sodres were notmally distributad. Complete
the following statements.
(a) Approximately ? 8 of the students scored between 39 and 65
(b) Approximately of the students scored between and .

Here’s a bit of fun with your stats! To find out approximately how many students scored between 39 and 65, you can use the empirical rule, which states that about 68% of the scores fall within one standard deviation from the mean. Since 39 (52 - 13) is one standard deviation below the mean and 65 (52 + 13) is one standard deviation above, about 68% of students scored in that range.

For part (b), let’s keep the math rolling! According to the 68-95-99.7 rule, approximately 99.7% of students score within three standard deviations from the mean. So we calculate: 52 - 3(13) = 3 and 52 + 3(13) = 101. Therefore, approximately 99.7% of the students scored between 3 and 101. Look at you, mastering the normal distribution!