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 .

Answer 1

To find the difference in means between the roller coaster speeds in North America and Asia, subtract the mean of the Asia data set from the mean of the North America data set. The mean absolute deviation (MAD) for each data set can be found by subtracting the mean from each data point, taking the absolute value of the difference, and then calculating the mean of these absolute differences.

Step-by-step explanation:

The difference of the means of the two data sets can be found by calculating the mean of each set and then subtracting the mean of the Asia data set from the mean of the North America data set.

The mean absolute deviation (MAD) for each data set can be found by subtracting the mean from each data point, taking the absolute value of the difference, and then calculating the mean of these absolute differences.

To find the MAD of the roller coaster speeds in North America, subtract the mean of the North America data set from each data point, take the absolute value of each difference, calculate the mean of these absolute differences.

Similarly, to find the MAD of the roller coaster speeds in Asia, subtract the mean of the Asia data set from each data point, take the absolute value of each difference, and calculate the mean of these absolute differences.