4. The Berg Balance Scale (BBS), named after its developer Katherine Berg, is a popular clinical test of a person's static and dynamic balance abilities. It is measured on a scale of 0 to 56; the higher the value, the better the score. The cut-off score is 45, which means that a score less than 45 indicates a greater risk of falling. The data collected by a group of researchers for 20 older patients at a hospital are: 43 48 40 42 9 32 38 49 32 34 46 40 40 33 35 40 39 40 34 39 a. Compute the mean and median. b. Compute the variance, standard deviation, range, coefficient of variation, and Z scores. Are there any outliers? Explain. c. Are the data skewed? If so, how? d. A physiotherapist meets with one of the researchers who gathered this data and asks what BBS values she can expect in case of her older patients. The researcher replies, "Almost certainly less than 40." Based on the results of (a) through (c), evaluate the accuracy of this statement.

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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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4. The Berg Balance Scale (BBS), named after its developer Katherine Berg, is a popular clinical
test of a person's static and dynamic balance abilities. It is measured on a scale of 0 to 56; the
higher the value, the better the score. The cut-off score is 45, which means that a score less than
45 indicates a greater risk of falling. The data collected by a group of researchers for 20 older
patients at a hospital are:
43
48
40 32
42
9
nited States)
38
49
II
a. Compute the mean and median.
b. Compute the variance, standard deviation, range, coefficient of variation, and Z scores. Are
there any outliers? Explain.
c. Are the data skewed? If so, how?
32 34 46 33
40
40
35
40
d. A physiotherapist meets with one of the researchers who gathered this data and asks what BBS
values she can expect in case of her older patients. The researcher replies, "Almost certainly less
than 40." Based on the results of (a) through (c), evaluate the accuracy of this statement.
39 34
40
39
H
A
Go
BN
103°F Windy
Transcribed Image Text:1 4. The Berg Balance Scale (BBS), named after its developer Katherine Berg, is a popular clinical test of a person's static and dynamic balance abilities. It is measured on a scale of 0 to 56; the higher the value, the better the score. The cut-off score is 45, which means that a score less than 45 indicates a greater risk of falling. The data collected by a group of researchers for 20 older patients at a hospital are: 43 48 40 32 42 9 nited States) 38 49 II a. Compute the mean and median. b. Compute the variance, standard deviation, range, coefficient of variation, and Z scores. Are there any outliers? Explain. c. Are the data skewed? If so, how? 32 34 46 33 40 40 35 40 d. A physiotherapist meets with one of the researchers who gathered this data and asks what BBS values she can expect in case of her older patients. The researcher replies, "Almost certainly less than 40." Based on the results of (a) through (c), evaluate the accuracy of this statement. 39 34 40 39 H A Go BN 103°F Windy
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