QUESTION IMAGE
Question
a random sample of 30 college students is selected. each student is asked how much time they spent on homework during week. the following times (in hours) are obtained. 17, 19, 20, 25, 20, 19, 21, 15, 16, 23, 24, 15, 25, 21, 16, 19, 20, 18, 21, 20, 24, 25, 16, 15, 18, 19, 20, 21, 15, 25 complete the frequency distribution for the data. hours studied frequency 15 16 17 18 19 20 21 22 23 24 25
Step1: Count the frequency of each value
We go through the data set: \(17, 19, 20, 25, 20, 19, 21, 15, 16, 23, 24, 15, 25, 21, 16, 19, 20, 18, 21, 20, 24, 25, 16, 15, 18, 19, 20, 21, 15, 25\)
- For \(15\): Count the number of \(15\)s. There are \(4\) \(15\)s.
- For \(16\): Count the number of \(16\)s. There are \(3\) \(16\)s.
- For \(17\): Count the number of \(17\)s. There is \(1\) \(17\).
- For \(18\): Count the number of \(18\)s. There are \(2\) \(18\)s.
- For \(19\): Count the number of \(19\)s. There are \(4\) \(19\)s.
- For \(20\): Count the number of \(20\)s. There are \(5\) \(20\)s.
- For \(21\): Count the number of \(21\)s. There are \(4\) \(21\)s.
- For \(22\): Count the number of \(22\)s. There are \(0\) \(22\)s.
- For \(23\): Count the number of \(23\)s. There is \(1\) \(23\).
- For \(24\): Count the number of \(24\)s. There are \(2\) \(24\)s.
- For \(25\): Count the number of \(25\)s. There are \(4\) \(25\)s.
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| Hours Studied | Frequency |
|---|---|
| \(16\) | \(3\) |
| \(17\) | \(1\) |
| \(18\) | \(2\) |
| \(19\) | \(4\) |
| \(20\) | \(5\) |
| \(21\) | \(4\) |
| \(22\) | \(0\) |
| \(23\) | \(1\) |
| \(24\) | \(2\) |
| \(25\) | \(4\) |