Question

Find the value of x if the median of the following frequency
distribution is 50.
C. I. 20-30/30-40
40-50 50-60 60-70
70-80 80
fs 25 15
X
6
24
21
8​

Answer 1

Step-by-step explanation:

ANSWER

Class intervalFrequencyC.F.10 - 20121220 - 30304230 - 40f142+f140 - 5065107+f150 - 60f2107+f1+f260 - 7025132+f1+f270 - 8018150+f1+f2Let the frequency of the class 30 - 40 be f1 and that of the calss 50 - 60 be f2 The total frequency is 229

12 + 30 + f1 + 65 + f2 + 25 + 18 = 229 ⇒f1+f2=79

It is given that median is 46 clearly 46 lies in the class 40 - 50. So 40 - 50 is the median class

∴l=40,h=10,f=65andC=42+f1,N=229

Median = l+f2N−C×h⇒46=40+652229−(42+f