Question

The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The

classes, in years of service, are 0-4.9, 5-9.9, etc., and the vertical axis represents the number of faculty.
What percent of the department faculty have 20 or more years of service?
Answer:
%
14
13-
12-
V
11
OF
18
9
8
7
6
5
10
4
3
24
1
8
Mathematics and Statistics Faculty
10
15
20
25
38
35
4

Answer 1

approx 20% of the department faculty have 20 or more years of service

Explanation:

To find the percentage of the department faculty with 20 or more years of service, we need to add up the number of faculty members in the "20-24.9" and "25 or more" year categories, since anyone with 20 or more years of service would fall into one of these categories.

Looking at the histogram, we see that there are 24 faculty members in the "20-24.9" year category, and an additional 4 in the "25 or more" year category. Therefore, the total number of faculty members with 20 or more years of service is 24 + 4 = 28.

To calculate the percentage of faculty members with 20 or more years of service, we need to divide this number by the total number of faculty members in the department, which we can find by adding up the heights of all the bars in the histogram. Based on the heights of the bars in the histogram, we can estimate that the total number of faculty members is approximately 140.

Therefore, the percentage of faculty members with 20 or more years of service is:

(28/140) x 100% = 20%

So, approximately 20% of the department faculty have 20 or more years of service.