Question

The median of the observations arranged in the ascending order as 17, 22,
a-1, a + 3, 30, 35 is 26. Then, a =
A. 24 B. 25 C. 26 D. 28​

Answer 1

Step-by-step explanation:

ANSWER

Median=26

Observations 10,17,22,x+2,x+4,20,36,40

Median=2x+2+x+4

22x+6=26

2x+6=52

2x=46

x=23

Hence, this is the answer.

Answer 2

Step-by-step explanation:

By arranging the numbers in ascending order We get 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41

We know that n = 10 which is even So we get Median = ½ {(n/2)th term + (n/2 + 1)th term}

It can be written as Median = ½ {5th term + 6th term) By substituting the values

Median = ½ (x + 1 + x + 3) On further calculation Median = ½ (2x + 4)

We get Median = x + 2

It is given that median = 24

So we get x + 2 = 24 On further calculation x = 24 – 2 = 22

Therefore, the value of x is 22