Short Assignment #6 – Is That Feature Standard? This individual assignment is re
ID: 3049142 • Letter: S
Question
Short Assignment #6 – Is That Feature Standard?
This individual assignment is related to your Chapter 3 (Salkind) material.
Instructions: This data represent shoe size converted into centimeters for both male and female research methods students from another class.
Prior Methods Class Data Set – Shoe Size and Gender
Shoe Size (in cm)
Gender (M or F)
Shoe Size (in cm)
Gender (M or F)
24.5
F
23.8
F
23.8
F
23.5
F
24.1
F
24.8
F
24.5
F
23.5
F
25.4
F
25.1
F
26
F
27
M
24.1
F
27.6
M
23.8
F
24.5
F
24.8
F
28.4
M
27
M
27.3
M
27.9
M
23.8
F
25.1
F
27.6
M
24.5
F
25.1
F
24.5
F
27
M
27.6
M
24.5
F
24.5
F
24.5
F
27.6
M
26.9
F
24.5
F
26.7
M
24.8
F
23.5
F
25.7
F
26.7
M
25.1
M
25.7
F
23.5
F
25.4
F
23.1
F
26.9
M
24.8
F
25.4
F
24.8
F
25.7
F
26.9
M
26.9
M
26.9
M
23.8
F
27.6
M
27.3
M
25.4
F
24.5
F
24.8
F
26.9
F
Using the data above, answer the following questions. Note: Total N is 60, with 19 men and 41 women
1). Compute the mean, variance, and standard deviation for this data separated by gender (that is, give me the mean, variance, and standard deviation for men, and give me the mean, variance, and standard deviation for women).
Men:
a. Mean:
b. Variance:
c. Standard Deviation:
Women:
a. Mean:
b. Variance:
c. Standard Deviation:
3) Who seems to have more variability in their shoe sizes, men or women?
4) In general, why should we use the standard deviation rather than the variance?
5) In general, why use the estimate of n – 1 rather than n in the computation of the standard deviation and variance
Shoe Size (in cm)
Gender (M or F)
Shoe Size (in cm)
Gender (M or F)
24.5
F
23.8
F
23.8
F
23.5
F
24.1
F
24.8
F
24.5
F
23.5
F
25.4
F
25.1
F
26
F
27
M
24.1
F
27.6
M
23.8
F
24.5
F
24.8
F
28.4
M
27
M
27.3
M
27.9
M
23.8
F
25.1
F
27.6
M
24.5
F
25.1
F
24.5
F
27
M
27.6
M
24.5
F
24.5
F
24.5
F
27.6
M
26.9
F
24.5
F
26.7
M
24.8
F
23.5
F
25.7
F
26.7
M
25.1
M
25.7
F
23.5
F
25.4
F
23.1
F
26.9
M
24.8
F
25.4
F
24.8
F
25.7
F
26.9
M
26.9
M
26.9
M
23.8
F
27.6
M
27.3
M
25.4
F
24.5
F
24.8
F
26.9
F
Explanation / Answer
male
27
27.9
27.6
27.6
27
27.6
28.4
27.3
27.6
27
25.1
26.9
26.9
27.6
26.7
26.7
26.9
26.9
27.3
men
First enter Data into EXCEL
We have to find the sample mean.
Excel command is =AVERAGE(Select data)
sample mean = 27.158
We have to find the sample variance
Excel command is =VAR(Select data)
Variance = 0.450
Now we have to find sample standard deviation.
Excel command is =STDEV(Select data)
standard deviation = 0.671
men
a) mean = 27.158
b) variance = 0.450
c) standard deviation = 0.671
For women
Female
24.5
23.8
24.1
24.5
25.4
26
24.1
23.8
24.8
25.1
24.5
24.5
23.8
23.5
24.8
23.5
25.1
24.5
23.8
25.1
24.5
24.5
24.5
24.8
25.7
23.5
23.1
24.8
24.8
25.4
24.8
24.5
26.9
23.5
25.7
25.4
25.4
25.7
23.8
24.5
26.9
women
First enter Data into EXCEL
We have to find the sample mean.
Excel command is =AVERAGE(Select data)
sample mean = 24.680
We have to find the sample variance
Excel command is =VAR(Select data)
Variance = 0.759
Now we have to find sample standard deviation.
Excel command is =STDEV(Select data)
standard deviation = 0.871
women
a) mean = 24.680
b) variance = 0.759
c) standard deviation = 0.871
male
27
27.9
27.6
27.6
27
27.6
28.4
27.3
27.6
27
25.1
26.9
26.9
27.6
26.7
26.7
26.9
26.9
27.3
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