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natali 33 [55]
4 years ago
8

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?
Mathematics
1 answer:
Gre4nikov [31]4 years ago
6 0

Answer:

Mean of resulting data = 7 times mean of original data=7a

Step-by-step explanation:

Given that all values in a data set are multiplied by 7. to find the mean of the new set.

Let {x1,x2....xn} be the original data set.

The mean of this data set a= \frac{x1+x2+...+xn}{n}

Now multiply all values by 7

New data set

= {7x1, 7x2...7xn}

Sum of these = 7(x1+x2+..+xn) = 7 times sum of original data set


No of element = n for both the sets

Hence new mean = 7 * mean of original set.=7a

in other words, if the mean of the values in a data set is a. If each of the values in the data set were multiplied by 7, new mean would be 7a.

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