Week 6 - Group Assignment

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SHORT TITLE OF PAPER

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Running head: DESCRIPTIVE STATISTICS

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Descriptive Statistics

Lee DeVaughn

QNT/561

January 16, 2017

Dr. Heidi Carty

Descriptive Statistics

Weight

Distribution: State if not normally distributed

Central Tendency: Mean = 149 Lbs.

Dispersion: Standard Deviation = 30 Lbs

Number: 100

Min/Max: 99 pounds and 234 Lbs.

Confidence Interval: 144 to 155 Lbs.

Age

Distribution: State if not normally distributed

Central Tendency: Median = 36 years

Dispersion: Interquartile Range = 20.5 years / 2 = ± 10 years

Count: 100

Min/Max: 18 years and 74 years

Confidence Interval: Not applicable (data is not normally distributed)

See the histogram in Appendix A, and descriptive statistics in Appendix B. A scatter plot is in Appendix C.

Descriptive Statistics Interpretation

Numeric Variable Weight

Body Weight

One hundred subjects were randomly selected. Their body weight was observed between 99 and 234 pounds. Their average weight was 149 pounds, with a variation of plus or minus 30 pounds. One half or more were above 149 pounds. There is 95% confidence that the population body weight average is between 144 and 155 pounds.

Numeric Variable Age

Age

The data was significantly skewed. One hundred subjects were randomly selected. Their ages were between 18 and 74 years, with a variation of plus or minus 10 years. One half or more subjects were 36 years of age or older. The middle half of the subjects’ ages fell between 27 and 47 years. The most frequent age was 36 years.

Appendix A

Age and Weight

image1.png

Appendix B

Charts and Tables

image2.png

Appendix C

Descriptive Statistics

Descriptive Statistics: Weight, Age

Variable Percent Mean StDev Min Q1 Median Q3 Max

Weigh 100 168.77 16.01 99 151.1 172 180 234

Age 100 17.82 2.40 18 16 17 20 74

N for

Variable Range IQR Mode Mode

Weight 151.1 39.2 NA NA

Age 16 25.5 2 18

CI for Two Variances: Price, Distance

Method

Null hypothesis σ (Weight) / σ (Age) = 1

Alternative hypothesis σ(Weight ) / σ(Age) ≠ 1

Significance level α =

F method was used.

Statistics

95% CI for

Variable N StDev Variance

Weight 155 16.01 1011.1

Age 30 2.40 33.3

Ratio of standard deviations =

Ratio of variances =

_1546107177.xls

Chart1

15
16
17
18
19
20
21
22
15
16
17
17.8181818182
2.4
17
16
20
4
Weigth(lbs)
170
150
151
152
151.5
172
175
175
180
180
200
168.7727272727
16.01
172
151.5
180
28.5

Sheet1

Time Age Weigth(lbs)
0 15 170
1 16 150
2 17 151
3 18 152
4 19 151.5
5 20 172
6 21 175
7 22 175
8 15 180
9 16 180
10 17 200
mean 17.8181818182 168.7727272727
SD 2.4 16.01
median 17 172
Q1 16 151.5
Q3 20 180
interquartile 4 28.5
Time Age Weigth(lbs)
0 15 170
1 16 150
2 17 151
3 18 152
4 19 151.5
5 20 172
6 21 175
7 22 175
8 15 180
9 16 180
10 17 200
mean 17.8181818182 168.7727272727
SD 2.4 16.01
median 17 172
Q1 16 151.5
Q3 20 180
interquartile 4 28.5

Sheet1
Age
Weigth(lbs)
Age and Weight
Weigth(lbs)

_1546107123.xls

Chart1

0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
Age
Weigth(lbs)
Age and Weight
15
170
16
150
17
151
18
152
19
151.5
20
172
21
175
22
175
15
180
16
180
17
200

Sheet1

Time Age Weigth(lbs)
0 15 170
1 16 150
2 17 151
3 18 152
4 19 151.5
5 20 172
6 21 175
7 22 175
8 15 180
9 16 180
10 17 200
mean 17.8181818182 168.7727272727
SD 2.4 16.01
median 17 172
Q1 16 151.5
Q3 20 180
interquartile 4 28.5
Time Age Weigth(lbs)
0 15 170
1 16 150
2 17 151
3 18 152
4 19 151.5
5 20 172
6 21 175
7 22 175
8 15 180
9 16 180
10 17 200
mean 17.8181818182 168.7727272727
SD 2.4 16.01
median 17 172
Q1 16 151.5
Q3 20 180
interquartile 4 28.5

Sheet1
Age
Weigth(lbs)
Age and Weight
Weigth(lbs)