Assignment
QNT/561
Date
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