Question

The following observation have been arranged in ascending order if the media of the data is 23.5.Find the value of x,12,16,17,19,x,x + 3,27, 37,38 and 40:


Answer this question immediately:

Step by step explanation:


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Answer 1

Answer:

n = 10

Median when no. of terms is even = Mean of (n/2)th and (n/2 + 1)th terms

Median = Mean of 5th and 6th terms

= (x + x + 3)/2

= (2x + 3)/2 --- (1)

Given median = 23.5 --- (2)

Equating (1) and (2)

2x + 3 = 23.5 X 2

2x = 47 - 3

x = 44/2 = 22

Thus x = 22

Answer 2

Answer:

median=12,16,17,19,x,x+3,27,37,38,40

23.5=(x+x+3)/2

23.5=2x+3/2

23.5×2=2x+3

47=2x+3

47-3=2x

44=2x

x=44/2=22

therefore, x=22

x+3=22+3=25