Question

Oliver wants to find the standard deviation of the amount he adds to his bank account every month. He forgot that his parents match his deposits so all of the amounts should be doubled. What is the new standard deviation?

Answer 1

To determine how the standard deviation changes when Oliver doubles the amounts he deposits into his bank account, we need to understand how standard deviation is affected by a linear transformation of the data.
Key Concept:
When you multiply every value in a dataset by a constant factor c , the standard deviation of the dataset also gets multiplied by the absolute value of that constant factor.

Answer 2

In this example/problem let S be the original standard deviation of the amounts Oliver adds to his new/old account. After you double the amount/s due to his parents' matching deposits, the new standard deviation will be: 2s

Answer 3

The new standard deviation will be twice the original standard deviation.

Answer 4

So if he has $100 then it would double every month. So yes, it would be twice the amount

Answer 5

twice the amount

Answer 6

ight