Question

The table lists the speeds of the fastest roller coasters in North America and Asia.

Roller Coaster Speeds in North America
(miles/hour) Roller Coaster Speeds in Asia
(miles/hour)
128
149.1
120
106.9
100
95
93
83
92
80.8
90
80.3
85
78.3
82
71.5
80
69.6
77
68.4
The difference of the means of the two data sets is .
The mean absolute deviation of the roller coaster speeds in North America is .
The mean absolute deviation of the roller coaster speeds in Asia is .

Answers

  1. The difference of the means of the two data sets is = 4.57
    The mean absolute deviation of the roller coaster speeds in North America is 13.3
    The mean absolute deviation of the roller coaster speeds in Asia is 16.8

    How to solve for the means

    First we have to start with the data for North America
    128, 120, 100, 93, 92, 80.8, 85, 82, 80, 77
    To get the mean you have to sum up the values and divide through by the total number 10
    937.8/10
    Mean = 93.78
    Mean Absolute Deviation  = (128 – 93.78) + ( 120 – 93.78) + ( 100 – 93.78) + ( 93 – 93.78) + ( 92 – 93.78) + ( 80.8 – 93.78) + ( 85 – 93.78) + ( 82 – 93.78) + ( 80 – 93.78) + ( 77 – 93.78) / 10
    133.32/10 = 13.3
    For Asia, we have the data as
    149.1, 106.9, 95, 83, 90, 80.3, 78.3, 71.5, 69.6, 68.4
    Mean for Asia = 892.1/10
    = 89.21
    Mean Absolute Deviation = (149.1 – 89.21) + ( 106.9 – 89.21) + ( 95 – 89.21) + ( 83 – 89.21) + ( 90 – 89.21) + ( 80.3 – 89.21) + ( 78.3 – 89.21) + ( 71.5 – 89.21) + ( 69.6 – 89.21) + ( 68.4 – 89.21) / 10
    = 168.32/10
    16.8
    The difference in the means = 93.78 -89.21
    =  4.57
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