Question

Find the mean, median, and mode for the data on the number of sick days used for a group of employees below: Number of sick days taken in the last year Frequency 0 16 1 25 2 29 3 19 4 6 5 3 9 1

Answer 1

The distribution is

Number of sick days taken in the last year	Frequency
0	16
1	25
2	29
3	19
4	6
5	3
9	1

Now mean is given by

Mode the tha value with highest frequency

Highest frequency is 29, with corresponding value 2.

So mode is 2

Median is the value which divide the data into two equal parts.

We form the cummulative frequency table as shown

Number of sick days taken in the last year	Frequency	Cumulative frequency
0	16	16
1	25	41
2	29	70
3	19	89
4	6	95
5	3	98
9	1	99

Since and cummulative frequency gest greater than 49.5, is 70, with corresponding value 2

So Medina is 2