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Created: Feb 16, 2018
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Contreras, Adriel, Lab 2
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1. Tell which graph for Homework you found the most useful. Why? Address each graph and indicate what you found useful or lacking in each one.


I prefer box plots because the are more visually focused and clearly indicate important data points. While histograms and dot plots show a good overall summary of the data, they make finding important data points like the mean and the median more difficult. Stem plots and statistical summaries are very simplistic, but one can often get lost in the sea of numbers.


2. What is the shape of the histogram? Is the shape something you expected (or would expect) for Homework grades, why or why not? Do you think every college class has this same type of distribution? Why or why not?


The shape of the homework grades histogram is skewed left, which is not suprising considering that MyStatsLab often guides us through the more diffucult problems. I think the average college class that uses similar methods would also see similar results.


3. Using the side-by-side boxplots for grades, describe the shape of the distribution for the Problem Packet scores. Are there any outliers for either set of scores? If so, indicate the score(s) of the outlier(s) for each. Using the IQR, which set of scores has more dispersion? Explain why you think that might be.


The shape of the distribution for the box plots of the problem packets is also skewed left, with no outliers. The homework has three outliers at 13.24%, 21.65%, and 30.48%. The dispersion of the problem packets, with an IQR of 34.38, is greater than the dispersion of the homework grades, with an IQR of 26.12. This is most likely because the homework often guides us through the problems, and more students are likely to get higher, thus similar, scores.


4. Lastly, calculate your z-score for the homework. You may use your current average homework score, as currently listed in MyStatLab. Type the full calculation, with the values you used, for full credit. Any answer without work shown will receive partial credit, at best.


My z-score: (72.52-79.618571)/ 24.191851= -0.2934

My Z-score= -0.2934


5. Refer to z-score calculated in #4: What does your z-score mean? Are you satisfied with your z-score? Why or why not?


My z-score indicates that I am a little over a quarter of a Standard Deviation below the mean. This is not good because it means I am underperforming when compared to the rest of the class, and shows that I need to be trying harder.


Result 1: Lab 2, Homework Histogram; Adriel Contreras   [Info]
Right click to copy

Result 2: Lab 2, Homework Stem plot; Adriel COntreras   [Info]
Variable: HW

Decimal point is 1 digit(s) to the right of the colon.
Leaf unit = 1
 1 : 3
 1 : 
 2 : 2
 2 : 
 3 : 0
 3 : 
 4 : 0
 4 : 5
 5 : 2
 5 : 6
 6 : 
 6 : 
 7 : 01
 7 : 577
 8 : 00
 8 : 669
 9 : 01344
 9 : 5677779999
10 : 000

Result 3: Lab 2 Homework Dot Plot; Adriel Contreras   [Info]
Right click to copy

Result 4: Lab 2, Box Plots; Adriel COntreras   [Info]
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Result 5: Lab 2, Statistical Summary; Adriel Contreras   [Info]
Summary statistics:
ColumnnMinQ1MedianQ3MaxIQRMeanStd. dev.
HW3513.2470.9790.4697.0910026.1279.61857124.191851
Problem Packets35048.2172.6883.0494.2934.8362.62142929.813513

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<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=76034">Contreras, Adriel, Lab 2</A>

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By pignottia
Apr 15, 2018

1-day late.
By pignottia
Apr 15, 2018

Great work.
Graded.

Always Learning