Question

$\fcolorbox{red}{silver}{PLEASE SOLVE THIS QUESTION}$
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Answer 1

Explanation:

Given data in ascending order

2 , 3 , 5 , 9 , x+1 , x + 3 , 14 , 16 , 19 , 20

Number if observations ( n) = 10 ( i.e , even )

Therefore ,

Median is the average of middle two observations

Here , the 5th and 6th number are in the middle position.

Median = ( x+1 ) + ( x + 3 ) / 2

11 = (2x + 4) / 2

11 × 2 = ( 2x + 4 )

22 = ( 2x + 4 )

22 - 4 = 2x

18 = 2x

x = 18/2

x = 9

The value of x is 9

$hope \: it \: helps \: you \:$

Answer 2

The 10 observations are arranged in ascending order as follows:

2, 3, 5, 9, x + 1; x + 3 14. 16, 19, 20 Since, the median of the data is 11.

As, the number of observations =10

which is an even number. Median = 11

$\frac{1}{2} ( ( \frac{10}{2} )thobservetion \: + ( \frac{10}{2} + 2) \: thobservation) \: = 11$

$\frac{1}{2} \times (5th \: observation \: + 6th \: observation \: ) = 11$

$= \frac{1}{2} (x + 1 + x + 3) = 11$

$2x + 4 = 2 \times 11$

$2x = 22 - 4$

$x = \frac{18}{2} = 9$

so the value of the

$x = 9$