A cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company is shown below.
Days AbsentCumulative ## of Employees
0 - 260
3 - 531
6 - 814
9 - 116
12 - 142
How many employees were absent between 6 and 11 days?
Click on the arrows to vote for the correct answer
A. B. C. D. E.A
This is found by the difference between the 6-8 class and the 12-14 class. In this case: 14 - 2 = 12.
To determine the number of employees who were absent between 6 and 11 days, we need to analyze the given cumulative frequency distribution.
The cumulative frequency distribution provides information about the number of employees who were absent up to a certain number of days. It consists of intervals of days absent and their corresponding cumulative frequencies.
Let's break down the given cumulative frequency distribution:
Days Absent Cumulative ## of Employees 0 - 2 60 3 - 5 131 6 - 8 214 9 - 11 260 12 - 14 402
The cumulative frequency for the interval 6 - 8 is 214, which means that up to 8 days absent, there were 214 employees. The cumulative frequency for the interval 9 - 11 is 260, which means that up to 11 days absent, there were 260 employees.
To find the number of employees absent between 6 and 11 days, we need to subtract the cumulative frequency at 6 days from the cumulative frequency at 11 days.
Number of employees absent between 6 and 11 days = Cumulative frequency at 11 days - Cumulative frequency at 6 days = 260 - 214 = 46
Therefore, there were 46 employees absent between 6 and 11 days.
None of the provided answer options (A, B, C, D, E) corresponds to the correct answer.