Question

If the mean 5 ,7,x,10,5and7is7,thenx=__________.

Answer 1

Answer:

Sum of Observation/No. of Obsevation= Mean 5+7+x+10+5+7/6=7

34+x/6=7

34+x=7×6

34+x=42

x=42-34

x= 8

So x is 8

Step-by-step explanation:

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Answer 2

GIVEN:

mean of 5, 7, x, 10, 5 and 7 = 7

TO FIND :

The value of X

FORMULA USED :

$mean \: = \frac{sum \: of \: terms}{number \: of \: terms}$

SOLUTION :

mean of 5, 7, x, 10, 5 and 7 = 7

To find the value of X ,we will use the formula ⟹

$⟹mean \: = \frac{sum \: of \: terms}{number \: of \: terms}$

Sum of terms => 5+ 7+x+ 10+ 5 + 7 = 34+ x

Number of terms = 6

mean = 7

$⟹7 = \frac{34 + x}{6}$

$⟹7 \times 6 = 34 + x$

$⟹42= 34 + x$

$⟹42-34= x$

$⟹8= x$

ANSWER : X = 8

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Verification :-

$mean \: = \frac{sum \: of \: terms}{number \: of \: terms}$

therefore , mean = (5+ 7+8+ 10+ 5 + 7 )/6

⟶ 42/6

⟶ 7

hence verified.

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