The following are speeds mih of cars measured with a radar g

The following are speeds (mi/h) of cars measured with a radar gun. Determine the 5-number summary and boxplot for the data given below. 70 71 71 71 72 73 74 75 75 76 77 78 78 79 80 The 5-number summary is

Solution

70
71
71
71
72
73
74

75

75
76
77
78
78
79
80

Here, as we can see,

Min = 70
1st quartile = median of lower half = 71
Median = (10010+10080)/2 = 75
3rd quartile = median of upper half = 78
Maximum = 80

Thus, the 5 number summary is

70, 71, 75, 78, 80 [ANSWER]

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Hi! I calculated the quartiles be excempting the median in each half. Should you include the medians on each half, it would be

70
71
71
71
72
73
74
75

75
75
76
77
78
78
79
80

So it would be

70, 71.5, 75, 77.5, 80 [ANSWER]