Calculate the mean, the median, and the standard deviation of Variable Q8 [How many hours per night do you sleep, on average?]. Interpret these numbers. Compare the mean vs. the median and discuss what it says about the shape of this variable's distribution. ID12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455Q88677.5596.576.59877.5787.58.5786.56.57.58687677.57.587786.3786.58.578.5854.57.566.56.56868867

Answered: Calculate the mean, the median, and the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 16CT: How many six-digit license plates can be made if no plate begins with 0 or 1?

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Calculate the mean, the median, and the standard deviation of Variable Q8 [How many hours per night do you sleep, on average?]. Interpret these numbers. Compare the mean vs. the median and discuss what it says about the shape of this variable's distribution.

ID
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
Q8
8
6
7
7.5
5
9
6.5
7
6.5
9
8
7
7.5
7
8
7.5
8.5
7
8
6.5
6.5
7.5
8
6
8
7
6
7
7.5
7.5
8
7
7
8
6.3
7
8
6.5
8.5
7
8.5
8
5
4.5
7.5
6
6.5
6.5
6
8
6
8
8
6
7

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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