Homework SourseThe following table lists the salary distribution of fulltim
The following table lists the salary distribution of full-time instructors in a community college. Complete the relative frequency and cumulative relative frequency columns
Salary ($)
Number of Instructors
Relative Frequency
Cumulative Relative Frequency
28,000 up to 33,000
5
33,000 up to 38,000
6
38,000 up to 43,000
4
43,000 up to 48,000
3
48,000 up to 53,000
7
(a) How many instructors earn less than $33 000?
(b) Seventy-two percent of instructors earn less than what amount?
| Salary ($) | Number of Instructors | Relative Frequency | Cumulative Relative Frequency |
| 28,000 up to 33,000 | 5 | ||
| 33,000 up to 38,000 | 6 | ||
| 38,000 up to 43,000 | 4 | ||
| 43,000 up to 48,000 | 3 | ||
| 48,000 up to 53,000 | 7 |
Solution
As there are 25 instructors, we divide the F column by 25 to get the relative frequency:
RF:
0.20
0.24
0.16
0.12
0.28
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To get the Cumulative relative freuquency, we add all the entries up to that row:
CRF:
0.20
0.44
0.60
0.72
1
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A.
From the table, there are 5 of them. [ANSWER]
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B.
72% of 25 = 18.
As we see, 18 instructors in all have salaries from 28000-48000.
Thus, 72% of instructors earn less than 48000. [ANSWER, 48000]
