Question

The
mean
9, 11, 13, x, 18, 19 is 20 then x is​

Answer 1

SOLUTION

GIVEN

The mean of 9, 11, 13, x, 18, 19 is 20

TO DETERMINE

The value of x

EVALUATION

Here the given observations are 9, 11, 13, x, 18, 19

Number of observations = 6

Sum of the observations

= 9 + 11 + 13 + x + 18 + 19

= x + 70

So mean

$= \displaystyle \sf{ \frac{x + 70}{6} }$

So by the given condition

$\displaystyle \sf{ \frac{x + 70}{6} = 20}$

$\displaystyle \sf{ \implies \:x + 70 = 120}$

$\displaystyle \sf{ \implies \:x = 120 - 70}$

$\displaystyle \sf{ \implies \:x = 50}$

FINAL ANSWER

The required value of x is 50

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