Question

The mean of ten observation is x . if each observationhas been multiplied by 5 the mean will be........... Give me a proper answer​

Answer 1

Answer:

Let the observations be a

1 ,a 2 ,...,a 10

Given that, mean of the observations is 5

Therefore, 5= 10a 1+a 2 +...a 10

⟹a

1

+a

2

+...a

10

=50 -----(1)

Given that, 2 is added to each observation and multiplied by 3

Therefore, new mean=

10

(a

1

+2)3+(a

2

+2)3+...(a

10

+2)3

⟹new mean=

10

(a

1

+a

2

+...+a

10

)3+(10×2)3

⟹new mean=

10

(50)3+(20)3

⟹new mean=

10

210

=21

Answer 2

Answer:

5x

Step-by-step explanation:

mean= sum of observation/no of observation

= 5x1 +5x2+5x3.......+5x10/10

=5(x1+x2+x3......+x10)/10

= 5x