A cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company is shown below.
Days Absent Cumulative Number of Employees
0 - 260
3 - 531
6 - 814
9 - 116
12 - 142
How many employees were never absent?
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A. B. C. D. E.C
We were given only the number of employees in the 0-2 group. So we do not know how many were never absent since this group includes those who were absent
1 and 2 days.
To determine the number of employees who were never absent, we need to analyze the cumulative frequency distribution given.
The cumulative frequency distribution represents the number of employees who were absent for a given range of days or less. For example, according to the distribution, 260 employees were absent for 0 days or less, 531 employees were absent for 3 days or less, and so on.
To find the number of employees who were never absent, we need to identify the range that represents "0 days absent." Looking at the cumulative frequency distribution, we see that the first range is "0 - 2." This range includes employees who were absent for 0, 1, or 2 days.
To determine the number of employees who were absent for 0 days, we subtract the cumulative number of employees in the previous range from the cumulative number of employees in the current range.
So, for the range "0 - 2," the number of employees absent for 0 days would be: 260 (cumulative employees for the range "0 - 2") - 0 (cumulative employees for the previous range) = 260
Therefore, 260 employees were never absent.
The correct answer is B. 29, which is not among the options provided. It seems there might be an error in the answer choices, as the detailed explanation indicates that 260 employees were never absent.