A cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company is shown below.
Days AbsentCumulative Number of Employees
0 - 260
3 - 531
6 - 814
9 - 116
12 - 142
How many employees were absent fewer than six days?
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A. B. C. D. E.C
This is the difference between the cumulative numbers for the 0-2 group and the 6-8 group, 60 - 14 = 46. There are 46 people between those two groups and they were absent fewer than six days.
To determine the number of employees who were absent fewer than six days, we need to analyze the cumulative frequency distribution given.
The cumulative frequency distribution table provides ranges of days absent and the corresponding cumulative number of employees. The ranges are inclusive on the lower end and exclusive on the upper end. For example, "0 - 2" means the number of employees absent for 0, 1, or 2 days.
Let's examine the cumulative frequency distribution table provided:
Days Absent | Cumulative Number of Employees 0 - 2 | 60 3 - 5 | 91 6 - 8 | 114 9 - 11 | 116 12 - 14 | 142
We can see that for the range "0 - 2," the cumulative number of employees is 60. This means that 60 employees were absent for 0, 1, or 2 days.
To find the number of employees absent fewer than six days, we sum up the cumulative number of employees for the ranges that include fewer than six days.
In this case, we need to consider the range "0 - 2" and add it to the range "3 - 5," which covers the remaining days before six.
Total number of employees absent fewer than six days: = Cumulative number of employees in "0 - 2" + Cumulative number of employees in "3 - 5" = 60 + 91 = 151
Therefore, the correct answer is not provided among the options given.