Question

the mean of the data is 8 if we add 5 to each observation of the data then the mean of new data is​

Answer 1

Answer:

The new mean will be 13

Step-by-step explanation:

We know that,

If a,b,c are three observations then,

Mean = $\frac{a+b+c + +n}{n}$ = Sum of n observations/n

According to the question,

8 = Sum / n

Adding 5 to all observations,

a+5, b+5, c+5,  n+5

Mean = $\frac{[(a+5)+(b+5)+(c+5)+ (n+5)]}{n}$

         = $\frac{[(a+b+c +n) + 5n]}{n}$

         = $\frac{(a+b+c +n)}{n} + \frac{5n}{n}$

The first term is the old mean and the second term becomes 5 on cancelling n from numerator and denominator.

         = $8 + 5$

         = $13$

Therefore,

New  = previous + 5

         = 8 + 5

         = 13

Answer 2

Step-by-step explanation:

13 is the answer

hope you help this