Question

Consider the following frequency distributions

Class	65 - 85	85 - 105	105 - 125	125 - 145	145 - 165	165 - 185	185-205
Frequency	4	5	13	20	14	7	4

The difference of the upper limit of the median class and the lower limit of the modal class is?

पर्याय

• 0

• 19

• 20

• 38

Answer 1

20

Explanation:-

Class	Frequency	Cumulative frequency
65 - 85	4	4
85 - 105	5	9
105 - 125	13	22
125 - 145	20	42
145 - 165	14	56
165 - 185	7	63
185 - 205	4	67

Here, N = 67.

`therefore N/2=33.5,` which lies in the interval 125 - 145.

Therefore, the lower limit of the median class is 125.

The highest frequency is 20, which lies in the interval 125 - 145.

Therefore, the upper limit of modal class is 145.

So, the required difference is 145 - 125 = 20.