Math, asked by gaffarkhaneka, 3 months ago

The mean of 6 Observations is 20. On removing one number from the given set, the mean of the remaining numbers becomes 16. find the value of the removed number.​

Answers

Answered by harshapanda569
0

Step-by-step explanation:

Given that mean of 6 numbers is 16

Let the numbers be a

1

,a

2

,a

3

,a

4

,a

5

,a

6

Therefore the mean =

6

a

1

+a

2

+a

3

+a

4

+a

5

+a

6

=16

⟹a

1

+a

2

+a

3

+a

4

+a

5

+a

6

=16×6=96 ....(1)

Let the removed number be a

6

Given that mean of the remaining numbers is 17

Therefore the mean =

5

a

1

+a

2

+a

3

+a

4

+a

5

=17

⟹a

1

+a

2

+a

3

+a

4

+a

5

=17×5=85 ....(2)

Substituting (2) in (1) we get

85+a

6

=96⟹a

6

=96−85=11

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