Question

For each variable of interest – Percent Time Asleep and Longevity – create a grouped frequency histogram. For each histogram, use a class width of 10; use a lower limit of 0 for Percent Time Asleep and 15 for Longevity. Each histogram must include an informative title, along with correct labels for both axes. For each histogram, include a paragraph that answers each of the following questions:

1. Is the histogram symmetric, skewed to the left, or skewed to the right?
2. How many peaks does it have, and where are they located?
3. Does it have any gaps? If so, where are they?

Do any classes appear to contain unusual values? If so, which ones?

Pct Time Asleep	Longevity
22	35
9	37
49	49
1	46
23	63
83	39
23	46
15	56
9	63
81	65
12	56
15	65
37	70
24	63
26	65
17	70
14	77
14	81
6	86
25	70
18	70
26	77
24	77
29	81
27	77
18	40
6	37
19	44
7	47
16	47
13	47
35	68
2	47
35	54
6	61
15	71
14	75
18	89
50	58
25	59
10	62
33	79
43	96
35	58
17	62
27	70
22	72
16	75
20	96
37	75
23	46
4	42
20	65
42	46
9	58
32	42
66	48
28	58
10	50
4	80
12	63
17	65
12	70
23	70
40	72
18	97
10	46
38	56
7	70
23	70
36	72
9	76
21	90
62	76
36	92
23	21
62	40
28	44
18	54
10	36
28	40
22	56
29	60
15	48
73	53
10	60
5	60
13	65
27	68
20	60
21	81
12	81
49	48
17	48
22	56
71	68
17	75
10	81
24	48
18	68
34	16
6	19
4	19
22	32
28	33
31	33
16	30
27	42
8	42
32	33
20	26
35	30
12	40
14	54
17	34
29	34
31	47
6	47
30	42
27	47
40	54
19	54
8	56
8	60
15	44

Answer 1

The data for the variable of interest – Percent Time Asleep, is as follows,

22,9,49,1,23,83,23,15,9,81,12,15,37,24,26,17,14,14,6,25,18,26,24,29,27,18,6,19,7,16,13,35,2,35,6,15,14,18,50,25,10,33,43,35,17,27,22,16,20,37,23,4,20,42,9,32,66,28,10,4,12,17,12,23,40,18,10,38,7,23,36,9,21,62,36,23,62,28,18,10,28,22,29,15,73,10,5,13,27,20,21,12,49,17,22,71,17,10,24,18,34,6,4,22,28,31,16,27,8,32,20,35,12,14,17,29,31,6,30,27,40,19,8,8,15

The histogram for the variable of interest – Percent Time Asleep, is depicted below.

40 39 36 30 - 20 Frequency 20 16 10 - 6 لنا 2 2 1 0 0 10 80 90 20 30 40 50 60 70 Histogram (Frequency Diagram)

The above histogram is not symmetric. It is skewed to the left. It has two peaks. The first peak is located in the class interval, "10 to 19", and the second peak is located in the class interval, "60 to 69".

The above histogram has no gaps.

The data for the variable of interest – Longevity, is as follows,

35,37,49,46,63,39,46,56,63,65,56,65,70,63,65,70,77,81,86,70,70,77,77,81,77,40,37,44,47,47,47,68,47,54,61,71,75,89,58,59,62,79,96,58,62,70,72,75,96,75,46,42,65,46,58,42,48,58,50,80,63,65,70,70,72,97,46,56,70,70,72,76,90,76,92,21,40,44,54,36,40,56,60,48,53,60,60,65,68,60,81,81,48,48,56,68,75,81,48,68,16,19,19,32,33,33,30,42,42,33,26,30,40,54,34,34,47,47,42,47,54,54,56,60,44

The histogram for the variable of interest – Longevity, is depicted below.

30 25 25 23 23 20 17 17 Frequency 15 - 9 10- 4 5-4 نما 0+ 15 25 95 105 35 45 55 65 75 85 Histogram (Frequency Diagram)

The above histogram is not symmetric. It is skewed to the left. It has one peak. The peak is located in the class interval, "45 to 54".

The above histogram has no gaps.