Question

The median of data given (in ascending order)2,4,X-3,x+2,11,15 is 7.5.Find x.Hence
find the mean of the given data.​

Answer 1

SOLUTION

TO DETERMINE

• The median of data given (in ascending order)2,4,X-3,x+2,11,15 is 7.5.Find x.

• Hence find the mean of the given data.

EVALUATION

1) Here the given observations are 2,4,x-3,x+2,11,15 which are in ascending order

Total number of observations = 6

Median

$\displaystyle \sf{ = \frac{x - 3 + x + 2}{2} }$

$\displaystyle \sf{ = \frac{2x - 1}{2} }$

So by the given condition

$\displaystyle \sf{ \frac{2x - 1}{2} = 7.5}$

$\displaystyle \sf{ \implies 2x - 1 = 15}$

$\displaystyle \sf{ \implies 2x = 16}$

$\displaystyle \sf{ \implies x = 8}$

Hence the required value of x = 8

2) Here sum of observations

= 2 + 4 + x-3 + x+2 + 11 + 15

= 2x + 31

= 16 + 31

= 47

Hence the required mean

= 47 / 6

= 7.83

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. if arithmetic mean of a seties is 45 and median is 40 then calculate the value of mode of that series

https://brainly.in/question/31548199

2. If x is random variable,then var(2-3x) is

1. 2-var(3x)

2. var(2)-var(3x)

3. 2-3var(x)

4. 9var(x)

https://brainly.in/question/31518688