Question

The median of the following observations 11,12,14,18,(x+4),30,32,35,41 arranged in ascending order is 24. Find x.

Answer 1

Answer:

Step-by-step explanation:we know,

if the number of observation (n) is even

then,

1. first of all find the value at the position

2. and find the value at the position

3. now find the average of two value to get the median .

e.g.,

Given, 11, 12, 14, 18, (x + 2), (x + 4) , 30, 32 , 35 , 41 are in ascending order .

number of terms = 10 {even}

so, median = {(n/2)th + (n/2 + 1) th }/2

24 = (5th + 6th)/2

24 = {(x + 2) + (x + 4)}/2

24 = (x + 3)

x = 21

hence, x = 21

Thanks

Answer 2

Heyo!

Since the numbers are arranged in ascending orders as :-

11 , 12 , 14, 18 , (x+4) , 30 ,32,35,41.

Here, n=9 , which is an odd no.

We know that, median (n+1/2)th term

=> 24= (9+1/2)th term

=> 24 = 5th term

=> 24 = x + 4

Hence , x= 20

Thanks, lol