7. Suppose that we randomly sample ten executives and ask them their daily exercise times (in minutes). We obtain the following data: Times (xi) (xi — x) (xi - x)² - 20 -6.8 46.24 35 8.2 67.24 28 1.2 1.44 22 -4.8 23.04 10 -16.8 282.24 40 13.2 174.24 23 -3.8 14.44 32 5.2 27.04 28 1.2 1.44 30 3.2 10.24 Table 4: Exercise time (a) Calculate the variance and the standard deviation. (b) Is the data skewed? (c) Is the mean a good measure of central tendency?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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7. Suppose that we randomly sample ten executives and ask them their daily exercise times (in
minutes). We obtain the following data:
Times (xi) (xi — x) (xi - x)²
-
20
-6.8
46.24
35
8.2
67.24
28
1.2
1.44
22
-4.8
23.04
10
-16.8
282.24
40
13.2
174.24
23
-3.8
14.44
32
5.2
27.04
28
1.2
1.44
30
3.2
10.24
Table 4: Exercise time
(a) Calculate the variance and the standard deviation.
(b) Is the data skewed?
(c) Is the mean a good measure of central tendency?
Transcribed Image Text:7. Suppose that we randomly sample ten executives and ask them their daily exercise times (in minutes). We obtain the following data: Times (xi) (xi — x) (xi - x)² - 20 -6.8 46.24 35 8.2 67.24 28 1.2 1.44 22 -4.8 23.04 10 -16.8 282.24 40 13.2 174.24 23 -3.8 14.44 32 5.2 27.04 28 1.2 1.44 30 3.2 10.24 Table 4: Exercise time (a) Calculate the variance and the standard deviation. (b) Is the data skewed? (c) Is the mean a good measure of central tendency?
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