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SHORT TITLE OF PAPER |
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Running head: DESCRIPTIVE STATISTICS |
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Descriptive Statistics
Robert Contreras
QNT/561
Date
Dr. Heidi Carty
Descriptive Statistics
Quality to Price of Home
The distribution s normally distributed.
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Central Tendency: Mean = 133.15 |
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Dispersion: Standard Deviation = 17.34462 |
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Number: 100 |
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Min/Max: Min = 95k; Max = 160k |
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Confidence Interval: 129.75-136.55 |
See Appendix A for histogram; descriptive statistics in Appendix B
Age
The distribution is not normally distributed.
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Central Tendency: Median= 35 |
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Dispersion: IQR = 6 years |
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Number: 100 |
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Min/Max: Min = 25; Max = 45 |
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Confidence Interval: 1.281181 |
See Appendix A for histogram; descriptive statistics in Appendix B; see Appendix C for scatterplot.
Quality of home based on Price point.
Based on a yes or no answer, 42% of those surveyed felt the quality of the home did not match the price paid for the home.
Descriptive Statistics Interpretation
Price range of home purchased
The survey was conducted using a randomly selected group of 100 participants in the population. The company’s database of customers was used with a range of 75k to 174k purchase price of a new home. The mean was 133.15 of price paid for a new home and a standard deviation of 3.4462. I also find that only 40% of those surveyed have a home price above the mean of 133.15.
Age
The survey was conducted using a randomly selected group of 100 participants in the population. I have found the data to be distributed normally and a skew point to the left. The ages in the survey were between 25 and 45 years of age. I also found that half of the ages were above 35 years of age. Also, the mode for this group was found to be 25.
Appendix A
Raw data used in the analysis
Appendix B
Charts and Tables
Descriptive Statistics on Sales
Mean133.15
Standard Error0.907290338
Median130
Mode130
Standard Deviation17.34462
Sample Variance300.8358586
Kurtosis
14.51105606
SkewnessNaN
Range95
Minimum95
Maximum160
Sum13,315
Count100
Confidence Level(95.0%)8.27
Descriptive Statistics on Age
Mean33.91
Standard Error0.653675699
Median35
Mode25
Standard Deviation6.536756988
Sample Variance42.72919192
Kurtosis-1.41022686
Skewness0.095178927
Range20
Minimum25
Maximum45
Sum3391
Count100
Confidence Level(95.0%)1.297034402
Appendix C
Descriptive Statistics
Appendix D
Home Price vs. Ages
Regression Statistics
Multiple R0.052191723
R Square0.002723976
Adjusted R Square-0.00745231
Standard Error9.106647674
Observations100
ANOVA
dfSSMSFSignificance F
Regression122.1988784422.198880.2676787920.606058973
Residual988127.24112282.93103
Total998149.44
CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%
Intercept45.296480774.8344974419.3694292.82949E-1535.7025779454.89038435.7025779454.8903836
X Variable 1-0.0724411910.1400163-0.517380.606058973-0.3502989810.2054166-0.3502989810.2054166
$0$20$40$60$80$100$120$140$160$1800510152025Home Price vs. Age
