Here are the statistics for the high temperatures in a city during October:

mean of 65.3 degrees Fahrenheit
median of 63.5 degrees Fahrenheit
standard deviation of 9.3 degrees Fahrenheit
IQR of 7.1 degrees Fahrenheit
Recall that the temperature C, measured in degrees Celsius, is related to the temperature F, measured in degrees Fahrenheit, by C=5/9(F−32).

Questions:

a. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.

b. Describe how the value of each statistic further changes when the new values are multiplied by 5/9.

c. Describe how to find the value of each statistic when the temperature is measured in degrees Celsius.