Question

Find the missing frequencies and the median for the following distribution if the mean is 1.46.

No. of accidents:	0	1	2	3	4	5	Total
Frequency:	46	?	?	25	10	5	200

Answer 1

(1) Let the missing frequencies be x and y.

Given:

.....(1)

We know that mean,

.....(2)

Solving (1) and (2), we get

Therefore,

Hence, the missing frequencies are 38 and 76.

(2) Calculation of median.

Now, we have.

So,

Thus, the cumulative frequency just greater than 100 is 122 and the value corresponding to 122 is 1.

Hence, the median is 1.