Question

The mean of eight numbers is 42. If one number is 63, then the mean of the remaining numbers is : *

Answer 1

$\huge\boxed{\mathtt\red{Solution:-}}$

Given :-

• Mean of eight number is 42
• number of observation is 8
• one of the number is 63

To Find :-

• mean of remaining 7 numbers

Solving :-

◑ Let the sum of 7 unknown number be x

we know that,

$\large\boxed{\mathtt\blue{Mean = \frac{sum\:of\: observation}{no.of\: observation}}}$

✒ 42 = (x+63)/8

✒ x = 336 - 63

∴ x = 273

Now,

we have sum of 7 numbers = x = 273

It's mean :-

✒ Mean = x/7

✒ Mean = 273/7

✒ Mean = 39

∴ Mean of remaining numbers is 39.

Answer 2

Solution :-

given that,

→ Total numbers = 8

→ Mean = 42 .

so,

→ Mean = sum of all numbers / total numbers

→ 42 = sum of all numbers / 8

→ sum of all numbers = 42 * 8 = 336

then,

→ sum of 8 numbers = 336

→ one number = 63

→ sum of remaining 7 numbers = 336 - 63 = 273

therefore,

→ Required mean = sum of remaining numbers / total remaining numbers = 273/7 = 39 (Ans.)

Hence, the mean of the remaining numbers is 39 .

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