Question

Consider the given data:

Class	0 – 20	20 – 40	40 – 60	60 – 80	80 – 100	100 – 120
Frequencу	15	30	50	63	35	32

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

पर्याय

• 0

• 20

• 40

• 10

Answer 1

20

Explanation:

Finding median class:

Class	Frequency (f)	Cumulative Frequency (cf)
0 – 20	15	15
20 – 40	30	45
40 – 60	50	95
60 – 80	63	158
80 – 100	35	193
100 – 120	32	225

Total frequency N = 225

`N/2 = 225/2 = 112.5`

Cumulative frequency just greater than 112.5 is 158, which corresponds to class 60 – 80.

Lower limit of median class = 60

Finding modal class:

Maximum frequency is 63, which belongs to class 60 – 80.

Upper limit of modal class = 80

Calculation:

Difference = |60 – 80| = 20