Question

the everage of 6 number is 30 if one number is excluded ,the everage of remaning number is 29 ,the excluded number is

Answer 1

Let, The sum of 6 number's be 'x'.
ie (x/6)=30.

→x=30×6=180 →(1)

Given, The average of 5 numbers is 29
Let that excluded no: be 'n'.

ie (x-n)/5=29
→x-n=145
→x-145=n

From (1). we have x=180

→n=180-145=35.

Hence,the excluded number is 35.

Hope it helps...
Regards,
Leukonov.

Answer 2

Hi there!
Here's the answer:

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$Average =\frac{Sum\: of\: observations}{No.\:of\: Observations}$

Given,
No. of observations = 6
Average = 30
Let sum be S
=> $30 = \frac{S}{6}$
=> S = 60×3
=> S = 180 -----------(1)

When No. of observations = 5[One observation (or No.) is excluded]

Let excluded No. = k

Average = 29

New Sum = (S-k)

=> $29 = \frac{S-k}{5}$

=> S-k = 29×5 = 145

From(1), S = 180

=> k = 180 - 145 = 35

•°• Excluded No. = 35

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:)


Hope it helps