If the median of the following frequency distribution is 28.5 find the missing frequencies: Class interval: 0-10 10-20 20-30 30-40 40-50 50-60 Total Total Frequency: 5 20 15 5 60

Question

Philoid · Accepted Answer

Class interval	Frequency	Cumulative frequency
0-10	5	5
10-20	f₁	5 + f₁ (f)
20-30	20 (f)	25 + f₁
30-40	15	40 + f₁
40-50	f₂	40 + f₁ + f₂
50-60	5	45 + f₁ + f₂
	N = 60

Given, Median = 28.5

Then, median class is 20-30

l = 20, f = 20, F = 5 + f₁, h = 10

Median = l +

28.5 = 20 + * 10

28.5 – 20 = * 10

8.5 =

f₁ = 25 – 17

f₁ = 8

Given, sum of frequencies = 60

= 5 + f₁ + 20 + 15 + f₂ + 5 = 60

= 5 + 8 + 20 + 15 + f₂ + 5 = 60

f₂ = 7

Therefore, f₁ = 8 and f₂ = 7

Class interval:	0-10	10-20	20-30	30-40	40-50	50-60	Total
Total Frequency:	5		20	15		5	60

If the median of the following frequency distribution is 28.5 find the missing frequencies:Class interval:0-1010-2020-3030-4040-5050-60TotalTotal Frequency:52015560

If the median of the following frequency distribution is 28.5 find the missing frequencies:

Class interval:

0-10

10-20

20-30

30-40

40-50

50-60

Total

Total Frequency:

5

20

15

5

60