RUNNING HEAD: Descriptive Statistics and Interpretation 2
Oliver Jackson Iv
DESCRIPTIVE STATISTICS AND INTERPRETATION
QNT/561
9/8/2014
Joseph Hamel
Descriptive Statistics
Sales (in USD)
The distribution is normally distributed.
Central Tendency:
Mean = 42.84 dollars.
Dispersion:
Standard deviation = 9.073 dollars.
Count:
100
Min/Max:
Min is $23.00; Max is $64.00
Confidence Interval (alpha = 0.05):
$41.06 to $44.62
The histogram is present in Appendix A; the descriptive statistics are present in Appendix B.
Age
The distribution is not normally distributed.
Central Tendency:
Median = 35 years
Dispersion:
Interquartile Range = 12 years / 2 = ± 6 years
Count:
100
Min/Max:
Min is 25 years; Max is 45 years
Confidence Interval:
The data is not normally distributed, therefore there is no confidence interval
The histogram is present in Appendix A; the descriptive statistics are present in Appendix B; the scatterplot relating age and sales is in Appendix C.
ID On Display
Thirty-four percent of the people sampled did not have their ID on display while sixty-six percent of people sampled had their ID on display. The bar chart is in Appendix E.
Descriptive Statistics Interpretation
Sales
One hundred people were randomly selected, and their sales were measured. Their sales were observed between $23.00 and $64.00. The average sales were $42.84, with a standard deviation of $9.07. Approximately half or more of the data values are above $42.84. There is enough evidence to say that the population sales amount lies between $41.06 and $44.62 with 95% confidence.
Age
The data is not normally distributed and is skewed to the left. One hundred people were randomly selected, and their ages were measured. Their ages were between 25 and 45 years, with a variation of ± 6 years. Half of the people’s ages lie above 35 years. The middle half of the peoples’ ages are between 28 and 40 years. The mode, or the most frequent age, was 25 years.
APPENDIX A
Sales and Age Histograms
APPENDIX B
Descriptive Statistics on Sales and Age
APPENDIX C
Scatterplot of Age versus Sales
APPENDIX D
Sales vs. Ages Regression Information
APPENDIX E
Bar chart for ID on Display
Bin
Frequency
0
34
1
66
More
0
Key:
0-1 represents 0, or not on display
1-2 represents 1, or on display
Sales vs. Age
35.0 26.0 31.0 42.0 41.0 26.0 25.0 33.0 40.0 42.0 37.0 28.0 28.0 25.0 36.0 41.0 45.0 42.0 26.0 33.0 35.0 41.0 36.0 41.0 26.0 29.0 30.0 41.0 42.0 39.0 28.0 25.0 45.0 32.0 38.0 26.0 29.0 41.0 25.0 28.0 45.0 35.0 39.0 37.0 29.0 28.0 42.0 26.0 37.0 35.0 28.0 26.0 29.0 30.0 35.0 39.0 45.0 42.0 43.0 38.0 37.0 25.0 25.0 36.0 38.0 45.0 41.0 40.0 40.0 30.0 30.0 32.0 37.0 26.0 28.0 29.0 25.0 32.0 26.0 25.0 41.0 45.0 28.0 27.0 32.0 30.0 40.0 40.0 36.0 37.0 25.0 28.0 40.0 43.0 36.0 25.0 29.0 25.0 30.0 40.0 44.0 53.0 56.0 26.0 43.0 53.0 43.0 31.0 43.0 36.0 39..
RUNNING HEAD Descriptive Statistics and Interpretation 2.docx
1. RUNNING HEAD: Descriptive Statistics and Interpretation 2
Oliver Jackson Iv
DESCRIPTIVE STATISTICS AND INTERPRETATION
QNT/561
9/8/2014
Joseph Hamel
Descriptive Statistics
Sales (in USD)
The distribution is normally distributed.
Central Tendency:
2. Mean = 42.84 dollars.
Dispersion:
Standard deviation = 9.073 dollars.
Count:
100
Min/Max:
Min is $23.00; Max is $64.00
Confidence Interval (alpha = 0.05):
$41.06 to $44.62
The histogram is present in Appendix A; the descriptive
statistics are present in Appendix B.
Age
The distribution is not normally distributed.
Central Tendency:
Median = 35 years
Dispersion:
Interquartile Range = 12 years / 2 = ± 6 years
Count:
100
Min/Max:
Min is 25 years; Max is 45 years
Confidence Interval:
The data is not normally distributed, therefore there is no
confidence interval
The histogram is present in Appendix A; the descriptive
statistics are present in Appendix B; the scatterplot relating age
and sales is in Appendix C.
ID On Display
Thirty-four percent of the people sampled did not have their ID
on display while sixty-six percent of people sampled had their
ID on display. The bar chart is in Appendix E.
Descriptive Statistics Interpretation
Sales
One hundred people were randomly selected, and their
sales were measured. Their sales were observed between $23.00
3. and $64.00. The average sales were $42.84, with a standard
deviation of $9.07. Approximately half or more of the data
values are above $42.84. There is enough evidence to say that
the population sales amount lies between $41.06 and $44.62
with 95% confidence.
Age
The data is not normally distributed and is skewed to the
left. One hundred people were randomly selected, and their ages
were measured. Their ages were between 25 and 45 years, with
a variation of ± 6 years. Half of the people’s ages lie above 35
years. The middle half of the peoples’ ages are between 28 and
40 years. The mode, or the most frequent age, was 25 years.
APPENDIX A
Sales and Age Histograms
APPENDIX B
Descriptive Statistics on Sales and Age
APPENDIX C
Scatterplot of Age versus Sales
4. APPENDIX D
Sales vs. Ages Regression Information
APPENDIX E
Bar chart for ID on Display
Bin
Frequency
0
34
1
66
More
0
11. Joseph Hamel
Descriptive Statistics and Interpretation
Interpretation Phrases
Central Tendency:
Mean = 159.63 (average of data set)
Median = 109.5
Mode = 0
Range = 9
Dispersion:
Standard Deviation = 17.61
Confidences Interval = 95%
Normal, p—value > .05
Descriptive Statistics
See Appendix A, B, C, and D.
Distribution is not normally distributed
Cases
The cases of products produced on January 21st in the second
shift provide a mean of 159.63 along with a standard deviation
of 17.61. The variance is notated at 310.27. The confidence
level is at 95% and contains an upper confidence limit of
161.590 and a lower confidence limit of 157.670.
APPENDIX A
12. APPENDIX B
SHAPE * MERGEFORMAT
APPENDIX C
APPENDIX D
Date
TimeNumber of casesNumber of workers
1500-160010818
1600-1700107
1700-1800105
1800-1900109
1900-2000110
2000-2100112
2100-2200104
2200-2300103
Cases of Product from 1500 through 2300
21-Jan
SHORT TITLE OF PAPER
1
Running head: DESCRIPTIVE STATISTICS
1Descriptive StatisticsJaime MargariaQNT/561
September 8, 2014
Joseph HamelDescriptive Statistics
13. For the current sample, I have chosen two random days and
shifts to compile information on how they are producing. In
this example I have used Shift 1 on January 21 and their results
of cases per shift as well as Shift 2 on March 21 and their
results of cases per shift. This will give me a good idea as to
how the two groups are producing on any given day.
Shift 1 on January 21
Central Tendency: Mean = 136.63 cases
Dispersion: Standard Deviation = 11.89 cases
Number:8
Min/Max: 122 cases to 156 cases
Confidence Interval: 41.952 cases to 231.308 cases
See the histogram in Appendix A, and descriptive statistics in
Appendix B.
Shift 2 on March 21
Central Tendency: Mean =138 cases
Dispersion: Standard Deviation = 13.44 cases
Number: 8
Min/Max: 123 cases to 159 cases
Confidence Interval: 42.373 cases to 233.627 cases
See the histogram in Appendix A, and descriptive statistics in
Appendix B. A scatter plot is in Appendix C.
Descriptive Statistics Interpretation
Shift 1 on January 21
Our first variable is the results of how many cases shift one
completed on January 21. The average number of cases
produced was 136.63 cases with a variation of plus or minus
11.89 cases. There is 95% confidence that the population
average is between 41.952 cases to 231.308 cases.
Shift 2 on March 21
Our second variable is the results of how many cases shift two
completed on March 21. The average number of cases produced
14. was 138 cases with a variation of plus or minus 13.44 cases.
There is 95% confidence that the population average is between
42.373 cases to 233.627 cases.
Appendix A
Histogram of Shift 1 on January 21
Histogram of Shift 2 on March 21
Shift 1
Shift 2
Shift 3
Cases of Product from 0700 through 1500
Cases of Product from 1500 through 2300
Cases of Product from 2300 through 0700
Date
21-Jan
Date
21-Jan
Date
21-Jan
Time
Number of cases
Time
Number of cases
Time
Number of cases
17. Time
Number of cases
Time
Number of cases
Time
Number of cases
0700-0800
133
1500-1600
115
2300-2400
162
0800-0900
135
1600-1700
118
2400-0100
168
0900-1000
137
1700-1800
119
0100-0200
169
1000-1100
136
1800-1900
25. Number of cases
count
8
mean
136.63
sample standard deviation
11.89
sample variance
141.41
minimum
122
maximum
156
range
34
Descriptive statistics
Shift 2
Number of cases
count
8
mean
26. 138.00
sample standard deviation
13.44
sample variance
180.57
minimum
123
maximum
159
range
36
Shift 1Cases of Product from 0700 through 1500Date21-
JanTimeNumber of casesNumber of workers0700-
0800129180800-09001250900-10001371000-11001361100-
12001371200-13001561300-14001511031851400-
150012282Date21-FebTimeNumber of casesNumber of
workers0700-0800133180800-09001350900-10001371000-
11001361100-12001381200-13001391300-14001381400-
1500137Date21-MarTimeNumber of casesNumber of
workers0700-0800128180800-09001450900-10001461000-
11001461100-12001461200-13001461300-14001351400-
1500138Results of experience survey Shift
1ParticipantScores1222223321322222233213322222332134222
22332135222223321362222233213722333332138223333321392
23333321310223333321311223333321312223333321313223333
32231422222332231522222332231622222332231722222332131
82222233213
Shift 2Cases of Product from 1500 through 2300Date21-
JanTimeNumber of casesNumber of workers1500-
1600108181600-17001071700-18001051800-19001091900-
20001102000-21001122100-22001042200-2300103Date21-
FebTimeNumber of cases1500-1600115171600-17001181700-
18001191800-19001171900-20001152000-21001162100-
22001182200-2300119Date21-MarTimeNumber of cases191500-
16001231600-17001291700-18001511800-19001511900-
27. 20001292000-21001312100-22001312200-2300159Results of
experience survey Shift
2ParticipantScores1333323322323333233223333332332234333
32332235333444442363333233223733332332238333444442393
33323322310333323322311333444442312333323444413333444
44231433332332231533332332231633344444231733332332231
83333233213
Shift 3Cases of Product from 2300 through 0700Date21-
JanTimeNumber of casesNumber of workers2300-
2400159182400-01001560100-02001530200-03001560300-
04001590400-05001810500-06001280600-0700185Date21-
FebTimeNumber of casesNumber of workers2300-
2400162172400-01001680100-02001690200-03001680300-
04001590400-05001820500-06001820600-0700185Date21-
MarTimeNumber of casesNumber of workers2300-
2400193192400-01001210100-02001120200-03001060300-
04001590400-05001810500-06001690600-0700185Results of
experience survey Shift
3ParticipantScores1333343344323335555555333355555554333
55555555333555555563335555555733355555558333555555593
33555555510333555555511333555555512333555555513333555
55551433355555551533355555551633344444231733332332231
83333233233
StatsAJAX Bottling Corp.OUTPUT MEASUREMENTS BY
SHIFTS AND TOTALMean OutputStandard
DeviationMedianModeRangeVarianceKurtosisSkewednessSkew
DirectionMaxMinsumcountShift
1138.16666666677.96550534261371373463.44927536230.2478
4213510.1379760501R156122331624Shift
2120.791666666715.1714238438117.511556230.17210144931.0
1398611241.2353603902R159103289924Shift
3161.583333333323.680695984716515979560.77536231880.53
29677745-1.0602933912L193106387824All
shifts140.180555555623.500783904713715982552.2868441358-
0.69235405410.401276834R1931031009372SKILL
MEASUREMENTS BY SHIFTS AND TOTALMean
28. ExperienceStandard
DeviationMedianModeRangeVarianceKurtosisSkewednessSkew
DirectionMaxMinsumcountMean # of workersShift
12.33888888890.61783446732220.3817194289-0.651617953-
0.3706244237L3142118018Shift
22.92222222220.63821990183330.4073246431-0.1802800181-
0.0630801907L4152618018Shift
34.11.02537634465531.051396648-1.584801859-
0.3911300832L5273818018All
shifts3.12037037041.07080441033341.146622085-
0.50598930110.5119186899R51168554018
Shift 1 Mean Experience Median Mode Range
Variance Max Min 2.338888888888889 2 2 2
0.38171942892613286 3 1 Shift 2 Mean
Experience Median Mode Range Variance Max
Min 2.9222222222222221 3 3 3
0.40732464307883265 4 1 Shift 3 Mean
Experience Median Mode Range Variance Max
Min 4.0999999999999996 5 5 3
1.0513966480446917 5 2 All shifts Mean
Experience Median Mode Range Variance Max
Min 3.1203703703703702 3 3 4
1.1466220850480109 5 1 Shift 1 Standard
Deviation Kurtosis Skewedness 0.61783446725327074 -
0.65161795304092029 -0.37062442369954557 Shift 2
Standard Deviation Kurtosis Skewedness
0.63821990181976673 -0.18028001813583305 -
6.308019069477705E-2 Shift 3 Standard Deviation
Kurtosis Skewedness 1.0253763445899713 -
1.5848018589552508 -0.39113008322016157 All shifts
Standard Deviation Kurtosis Skewedness
1.0708044102673517 -0.50598930108774853
0.51191868988962741 Shift 1 Standard Deviation
7.9655053425579263 Shift 2 Standard Deviation
15.171423843834649 Shift 3 Standard Deviation
23.680695984680057 All shifts Standard Deviation
29. 23.50078390470842 Shift 1 Kurtosis Skewedness
0.24784213514024511 0.13797605005114444 Shift 2
Kurtosis Skewedness 1.0139861123716565
1.2353603902121575 Shift 3 Kurtosis Skewedness
0.5329677744665986 -1.0602933911975536 All
shifts Kurtosis Skewedness -0.69235405412266537
0.40127683404587272 Shift 1 Mean Output Median
Mode Range Variance Max Min
138.16666666666666 137 137 34
63.449275362318865 156 122 Shift 2 Mean Output
Median Mode Range Variance Max Min
120.79166666666667 117.5 115 56
230.17210144927452 159 103 Shift 3 Mean Output
Median Mode Range Variance Max Min
161.58333333333334 165 159 79
560.77536231884221 193 106 All shifts Mean Output
Median Mode Range Variance Max Min
140.18055555555554 137 159 82
552.28684413580243 193 103
All shifts - Production
All shifts Mean Output Median Mode Range Max
Min 140.18055555555554 137 159 82 193 103
All shifts - Experience
All shifts Mean Experience Median Mode Range
Max Min 3.1203703703703702 3 3 4 5 1