The sample mean and sample median of the uncorrected Wick temperature data (in degrees Fahrenheit) are 44.7 and 42. We transform the data from degrees Fahrenheit (xi) to degrees Celsius (yi) by means...

The sample mean and sample median of the uncorrected Wick temperature data (in degrees Fahrenheit) are 44.7 and 42. We transform the data from degrees Fahrenheit (xi) to degrees Celsius (yi) by means of the formula

c. Suppose we have a dataset x₁, x₂,...,xn and construct y₁, y₂,...,yn where yi = axi + b with a and b being real numbers. Do similar relations hold for the sample mean and sample median? If so, state them.