Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution 50. x: 10 30 50 70 90 y: 17 f1 32 f2 19

Question

Philoid · Accepted Answer

X	y	yx
10	17	170
30	f1	30f1
50	32	1600
70	f2	70f2
90	19	1710
	N = 120	∑yx = 30f1 + 70f2 + 3480

Given, mean = 50

= 50

30f1 + 70f2 + 3480 = 50 * 120

30f1 + 70f2 + 3480 = 6000 (i)

Also, ∑y = 120

17 + f1 + 32 + f2 + 19 = 120

f1 + f2 = 52

f1 = 52 – f2

Substituting value of f1 in (i), we get

30 (52 – f2) + 70f2 + 3480 = 6000

40f2 = 960

f2 = 24

Hence, f1 = 52 – 24 = 28

Therefore, f1 = 28 and f2 = 24

Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution 50.x: 1030507090y: 17f132f219

Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution 50.

x: 10

30

50

70

90

y: 17

f1

32

f2

19