Fifteen students took a statistics pre-test and post-test. The results are below (a score of 28 is considered a perfect score). Round your answers to the nearest tenth, if necessary.

Student	Pre-Test	Post-Test
1	9	22
2	11	28
3	9	18
4	4	24
5	10	25
6	11	16
7	9	19
8	9	20
9	7	18
10	8	14
11	5	16
12	15	26
13	12	21
14	0	14
15	9	13

(a) Find the range of the pre-test scores.



(b) Find the standard deviation for the pre-test scores.



(c) Find the range of the post-test scores.



(d) Find the standard deviation for the post-test scores.



Here are the results based on the given dataHere are the results based on the given 

(a) The range of the pre-test scores is 15.

(b) The standard deviation of the pre-test scores is approximately 3.6.

(c) The range of the post-test scores is 15.

(d) The standard deviation of the post-test scores is approximately 4.7.

Would you like more details or have any other questions?

Here are 5 related questions:
1. What is the mean of the pre-test scores?
2. What is the mean of the post-test scores?
3. How many students improved their scores after the post-test?
4. What is the median of the pre-test scores?
5. What is the median of the post-test scores?

**Tip**: Standard deviation measures how spread out the data is from the mean; a larger value indicates greater variability.

Fifteen students took a statistics pre-test and post-test. The results are below (a score of 28 is considered a perfect score). Round your answers to the nearest tenth, if necessary.

Student Pre-Test Post-Test
1 9 22
2 11 28
3 9 18
4 4 24
5 10 25
6 11 16
7 9 19
8 9 20
9 7 18
10 8 14
11 5 16
12 15 26
13 12 21
14 0 14
15 9 13

(a) Find the range of the pre-test scores.
(b) Find the standard deviation for the pre-test scores.
(c) Find the range of the post-test scores.
(d) Find the standard deviation for the post-test scores.

This problem involves calculating the range and standard deviation of pre-test and post-test scores for 15 students. The pre-test scores range from 0 to 15 with a standard deviation of 3.6, and the post-test scores range from 13 to 28 with a standard deviation of 4.7. Suitable for Grades 9-12, this problem covers key statistical concepts like range and standard deviation.

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