Question

Problem 3:  Refer to the following cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company:

                  Days Absent                                     Cumulative Number of Employees

                   0   up to     3                                                            60

                   3   up to     6                                                            31

                   6   up to     9                                                            14

                   9   up to    12                                                            6

    12 up to     15                                                            2

1. How many employees were absent between 3 up to 6 days?
2. How many employees were absent fewer than six days?
3. How many employees were absent more than five days?
4. How many employees were absent from 6 up to 12 days?

Answer 1

a. It can be seen that 31 employees were absent between 3 up to 6 days

b. 60 employess were absent for 0 to 3 days and 31 for 3 to 6 days. Thus a total of 60+31=91 employees were absent fewer than 6 days

c. Being absent for more than 5 days is being absent for at least 6 days. Now 14 employees were absent from 6 up to 9 days. 6 employees were absent for 9 to 12 days, and 2 were absent from 12 upto 15 days. Thus, the required number is: 14+6+2 = 22

d. 14 were absent for 6 up to 9 days. And 6 were absent for 9 up to 12 days. Thus, 14+6=20 employees were absent from 6 up to 12 days.