John listens to a variety of music, including easy listening, classical, and pop

Question

John listens to a variety of music, including easy listening, classical, and pop/rock. These are the lengths of some of his favorite albums for each of these categories:

Easy Listening         Classical         Pop/Rock

39                               67                   47

60                               76                   47

40                               51                   66

56                               51                   50

41                               36                   78

55                                                      61

41

What is the mean deviation of the "pop/rock" data set?

Explanation / Answer

The average of the pop/rock data set is

Xbar = (47+47+66+50+78+61)/6 = 58.16666667

Thus, the table:

Taking the average of the second column,

mean deviation = 10.1666666667 [ANSWER]

x |x - Xbar| 47 11.16666667 47 11.16666667 66 7.833333333 50 8.166666667 78 19.83333333 61 2.833333333

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