Question

2) Following 10 observation are arranged in ascending order as follows.
2,3,5,9,x+2,x+4,14,16,19,20 If the median is 13 find the value of x.​

Answer 1

Number of varistes (n) = 10 which is even .

So,

median = ( n/ 2 ) th and ( n/2 + 1 ) th variates

median = ( 10 /2 ) th and ( 10 /2 + 1 ) th variates

median = 5 th and ( 10 + 2 / 2 ) th variates

median = 5 th and 6 th variates

Given :-

5th variate is x + 2 and 6th variate is x + 4 and median is 13

13 = (x + 2 + x + 4)/ 2

13 = (2x + 6)/2

13 * 2 = 2x + 6

26 = 2x + 6

26 - 6 = 2x

20 = 2x

=) x = 20/2

x = 10

So,

x + 2 = 10 + 2 = 12

x + 4 = 10 + 4 = 14

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