Five pulse rates randomly selected from Data Set 1 ?Body Data? in Appendix B have a mean of 78.0 beats per minute. Four of the pulse rates are 82, 78, 56, and 84.

a. Find the missing value.

b. We need to create a list of n values that have a specific known mean. We are free to select any values we desire for some of the n values. 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.)

Data set 1

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PULSE PLATE HEIGHT AGE GENDER (1 = M) DIASTOLIC HDL LDL RED ARM CIRC BMI SYSTOLIC WHITE WEIGHT WAIST 43 80 100 70 73 68 8.7 4.80 319 98.6 172.0 120.4 40.7 33.3 57 84 112 70 35 116 4.9 4.73 187 96.9 186.0 107.8 37.0 28.0 38 134 94 36 223 6.9 4.47 297 108.2 154.4 120.3 44.3 45.4 94 74 126 64 37 7.5 4.32 170 73.1 160.5 97.2 30.3 28.4 80 83 34 50 68 50 104 6.1 4.95 140 83.1 179.0 95.1 34.0 25.9 114