Question

Female Height (inches)

64	62	70	72	60	69	65
66	65	66	62	62	69	64
65	64	68	63	72	69	60
68	67	63	61	62	65	68
63	59

Male Height (inches)

68	72	69	67	72	70	75	77	65	66
72	69	72	69	73	67	66	66	68	72

-Get the 5-Number Summary for the female heights and male heights, then use them to draw two Boxplots on the same graph. A scaled axis has been provided. You may use your calculator. Draw graphs stacked on top of each other for easy comparison.      

5-Number Summary (female) (units)                             5-Number Summary (male)(units)          

Min = _____________               Q1 = _____________               Med = _____________               Q3 = _____________               Max = _____________

Min = _____________               Q1 = _____________               Med = _____________               Q3 = _____________                Max = _____________

55				60						65						70						75						80

Answer 1

The quartiles formula is

For males N = 20 and Females N = 30

If we get Qi th value = 7.75

Then

Qi = 7th + (8th - 7th) * 0.75

	Female
1	59
2	60
3	60
4	61
5	62
6	62
7	62
8	62
9	63
10	63
11	63
12	64
13	64
14	64
15	65
16	65
17	65
18	65
19	66
20	66
21	67
22	68
23	68
24	68
25	69
26	69
27	69
28	70
29	72
30	72

Female	ith value
Min	59
Q1	62	7.75
Q2	65	15.5
Q3	68	23.25
Max	72

	Male
1	65
2	66
3	66
4	66
5	67
6	67
7	68
8	68
9	69
10	69
11	69
12	70
13	72
14	72
15	72
16	72
17	72
18	73
19	75
20	77

Male	ith value
Min	65
Q1	67	5.25
Q2	69	10.5
Q3	72	15.75
Max	77

Female box plot

More symmetrical

Male

Positively skewed.