Question

What will be the median of the given data if the mean is 5 5,7,7,7Ã5,4,3,,2?

Answer 1

Step-by-step explanation:

Given Data: 5, 7, 7, 7, A, 5, 4, 3, 2.

$mean \: = \: \frac{sum \: of \: all \: values }{total \: number \: of \: values}$

=> Mean of the data = 5

=> 5+7+7+7+A+5+4+3+2/ 9 = 5

=> 40 + A / 9 = 5

=> 40 + A = 5 x 9

=> A = 45 - 40

=> A = 5

The sequence now is :

5, 7, 7, 7, 5, 5, 4, 3, 2

Now, To find the median of the given data we have to first arrange the data in ascending order:

=> 2, 3, 4, 5, 5, 5, 7, 7, 7

Here, n = 9 ( n = total number of values)

9 is an odd number.

So we will use the following formula :

$= ( \frac{n + 1}{2} ) ^{th} term$

for deriving the median of the given data.

= (9+1/2)th term

= (10/2)th term

= 5th term

= 5 is the median value of the given data.

Answer..