Question

The mean of the values in a data set is a. If each of the values in the data set

were multiplied by 7, what would be the mean of the resulting data?
A. 7a
B. 6a
C. a
D. 8a

Answer 1

Option A. 7a

Explanation:

we know that

The mean of the data values is equal to the sum of the data values divided by the number of data values

Let

x ----> the sum of the data values

n ---> the number of data values

y ----> the mean of the data values

so

`y=(x)/(n)`

we have that

`y=a`

so

`a=(x)/(n)`

If each of the values in the data set were multiplied by 7

we would have

The new mean is equal to

`(7x)/(n)=7((x)/(n))=7a`