Question

Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 68.0 beats per minute. Four of the pulse rates are 65 ​, 95 ​, 50 ​, and 52 . 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.)

Answer 1

a) Given,

Mean = 68

So,

(65 + 95 + 50 + 52 + b)/5 = 68

262 + b = 68*5

262 + b = 340

b = 340 - 262

b = 78

b) Values can be freely assigned before the remaining values are​ determined = n - 1