Question

find the value of 'x' of the following data , 20, 35, 32, 15, 23, x if mean is 27
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Answer 1

Answer:

20+35+32+15+23+x

——————————— = 27

6

=> (125 +x) / 6 = 27

=> 125+x = 27 x 6

=> 125 + x = 162

=> x = 162 – 125

=> x = 37

Ans. The value of x is 37.

Step-by-step explanation:

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Answer 2

$\dag\:\:\underline{\sf Question:- :}$

Find the value of 'x' of the following data:

20, 35, 32, 15, 23, x if mean is 27.

$\dag\:\:\underline{\sf Answer:- :}$

$Mean = \frac{Sum \: of \: all \: observations}{Total \: number \: of\: observations}$

$27 = \frac{20 + 35 + 32 + 15 + 23 + x}{6} \\\\27 = \frac{125 + x}{6} \\\\(27) (6) = 125 + x\\162 = 125 + x\\162 - 125 = x\\x = 37$

∴ Value of 'x' = 37

★ MORE TO KNOW:-

• What is mean?

⇒ The average of a given set of numbers is called the Arithmetic mean or the mean of the given numbers.

• Formula of mean

⇒ $Mean = \frac{Sum \: of \: all \: observations}{Total \: number \: of \: observations}$

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