Beyond Common Core
Problem 5 of 45s12-005
Daily high temperatures in a town for one month have mean C and standard deviation C. Each is converted with . What are the new mean and standard deviation?
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Solution walkthrough1:45
- Every temperature is changed the same way: multiply by , then add . Follow the mean and the spread.
- Multiplying by stretches everything: mean , SD .
- Adding slides every value right: mean , but the spread, SD , does not change.
- In Fahrenheit the mean is F and the standard deviation is F.
- Traps: forgets to add to the mean, adds to the SD, and forgets to stretch the SD.