Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 71.4 beats per minute. Four of the pulse rates are 81, 55,87, and 74. a.

Find the missing value.
b.
Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n values can be freely assigned before the remaining values are determined? (The result is referred to as the number of degrees of freedom.)