An incomplete distribution is given as follows: Variable: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Frequency: 10 20 ? 40 ? 25 15 You are given that the median value is 35 and the sum of all the frequencies is 170. Using the median formula fill up the missing frequency.

Question

Philoid · Accepted Answer

Class interval	Frequency	Cumulative frequency
0-10	10	10
10-20	20	30
20-30	f₁	30 + f₁ (F)
30-40	40 (f)	70 + f₁
40-50	f₂	70 + f₁ + f₂
50-60	25	95 + f₁ + f₂
60-70	15	110 + f₁ + f₂
	N = 170

Given, Median = 35

The median class = 30-40

l = 30, h = 10, f = 40 and F = 30 + f₁

Median = l +

35 = 30 + * 10

5 =

f₁ = 55 – 20 = 35

Given, Sum of frequencies = 170

= 10 + 20 + f₁ + 40 + f₂ + 25 + 15 = 170

= 10 + 20 + 35 + 40 + f₂ + 25 + 15 = 170

= f₂ = 170 – 145 = 25

Therefore, f₁ = 35 and f₂ = 25

Variable:	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency:	10	20	?	40	?	25	15

An incomplete distribution is given as follows:Variable:0-1010-2020-3030-4040-5050-6060-70Frequency:1020?40?2515You are given that the median value is 35 and the sum of all the frequencies is 170. Using the median formula fill up the missing frequency.

An incomplete distribution is given as follows:

Variable:

0-10

10-20

20-30

30-40

40-50

50-60

60-70

Frequency:

10

20

?

40

?

25

15

You are given that the median value is 35 and the sum of all the frequencies is 170. Using the median formula fill up the missing frequency.