The mentor of a class researched the number of hours spent on study in a week by each student of the class in order to analyze the correlation between the study hours and the marks obtained by each student. The data on the hours spent per week by 25 students are listed below.
13
14
16
15
12
12
19
21
22
19
13
16
18
25
21
17
18
23
16
12
24
20
14
22
15
a. What is the least amount of time a student spent per week on studying in this sample? The highest?b. Use a class width of 2 hours to prepare a frequency distribution, a relative frequency distribution, and a percent frequency distribution for the data.c. Prepare a histogram and comment on the shape of the distribution.
What will be an ideal response?
a. The least time a student spent was 12 hours, and the highest was 25 hours.
b.
Hours in Study per Week | Frequency | Relative Frequency | % Frequency |
12-13 | 5 | 0.2 | 20 |
14-15 | 4 | 0.16 | 16 |
16-17 | 4 | 0.16 | 16 |
18-19 | 4 | 0.16 | 16 |
20-21 | 3 | 0.12 | 12 |
22-23 | 3 | 0.12 | 12 |
24-25 | 2 | 0.08 | 8 |
Total | 25 | 1 | 100 |
c.
The distribution is skewed to the right.
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