Question

the observation 20,24,29,x-3,x,x+1,50,are in adsending order find x if median is 38​

Answer 1

Answer:

41

Step-by-step explanation:

Given,

Median of the observations is 38 where all observations are in ascending order.

To Find :-

Value of 'x'

Solution :-

The given observation is "20 , 24 , 29 , x - 3 , x , x + 1 , 50"

Median of these observations = 38

What is Median?

When the given number of series is odd :-

The median is the middle number of the given numbers when the series are arranged in ascending order.

When the given number of series is even :-

The median the average of two middle numbers in the series.

Now Lets calculate the number of terms in the series :-

There are total 7 number of terms. Since 7 is an 0dd number.

Middle  number = x - 3

Since , the middle number is the median.

$\implies x - 3 = 38$

x = 38 + 3

x = 41

Since, the value of 'x' = 41

Value of :-

1) x - 3 = 41 - 3 = 38

2) x = 41

3) x +1 = 41 + 1 = 42

Since the observation is "20 , 24 , 29 , 38 , 41 , 42 , 50".