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The mean of a dataset is 50. If all the values in the dataset are multiplied by 2, what will be the new mean?a.25b.50c.75d.100

Question

The mean of a dataset is 50. If all the values in the dataset are multiplied by 2, what will be the new mean?

a. 25
b. 50
c. 75
d. 100

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Solution

To find the new mean after multiplying all the values in the dataset by 2, we need to understand the relationship between the mean and the values.

The mean is calculated by summing up all the values in the dataset and dividing it by the total number of values. When we multiply all the values by 2, each value is doubled, but the total number of values remains the same.

Since each value is doubled, the sum of all the values will also be doubled. Therefore, the new sum will be 2 times the original sum.

However, the total number of values remains the same, so the new mean will be the new sum divided by the total number of values.

Since the original mean is 50, the new sum will be 2 times 50, which is 100.

Therefore, the new mean will be 100 divided by the total number of values, which remains the same.

So, the new mean will also be 50.

Therefore, the correct answer is b. 50.

This problem has been solved

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