Question

Find the value of x if the mean 40, 39, x 50, 64, and 59 is 51

Answer 1

Given:

• Data are : 40, 39, x, 50, 64,59
• Mean of data = 51

To finD:

• Value of x

Solution:

Here, we are given data 40, 39, x, 50, 64,59 and mean of data is 51. In order to find value of x,

We know that:

$\large{\sf{\red{Mean\:=\:\dfrac{Sum\: of\: observation}{Number\:of\: observation}}}}$

Where,

• Observation = 40, 39, x, 50, 64,59
• Number of observation = 6
• Mean = 51

Let put the all known values in formula :-

$\large{\sf{Mean\:=\:\dfrac{Sum\: of\: observation}{Number\:of\: observation}}}$

$\large{\implies{\sf{51\:=\:\dfrac{40+39+x+50+64+59}{6}}}}$

$\large{\implies{\sf{51\:=\:\dfrac{252+x}{6}}}}$

$\large{\implies{\sf{51×6\:=\:252+x}}}$

$\large{\implies{\sf{306\:=\:252+x}}}$

$\large{\implies{\sf{x\:=\:306-252}}}$

$\large{\implies{\sf{x\:=\:54}}}$

Therefore,

$\large{\boxed{\blue{\mathfrak{Value\:of\:x\:=\:54}}}}$

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