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Miranda, Jazzmin, Lab 3
Generated Oct 15, 2018 by jazzmin880974

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. 

The graph that I personally found the most useful for understanding the homework grades was the histogram. The histogram clearly shows the number of students in each class width by displaying the number above the bars. Also, the graph allows me to see the distribution of the values. With the stem plot, I found it useful for observing all of the students' scores individually. As for the dot plot, it does not portray the values of how many students scored in each class width very clearly. In the boxplot, I really appreciate how it shows the outliers of the homework grades. Lastly, the summary stats does convey the homework data very well. 

2. What is the shape of the histogram? Is the shape something you expected 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 histogram's distribution is skewed left. I expected this kind of shape for the homework grades because of the website Pearson helps students through problems they did not understand. Also, Pearson allows multiple tries for the homework problems. I honestly do not think every college class has this same type of distribution because some teacher only allowing one chance to answer the homework correctly or there's a limit amount of resources to help the student with their homework. With that, I believe other college classes are more likely to expect a bell-shaped distribution. 

3. Using the boxplots for grades, describe the shape of the distribution for the homework scores. Are there any outliners for either set of scores? If so, indicate the score of the outlier 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 homework score is skewed left. There are 5 outliners for either set of scores. They are 52.48, 56.7, 61.96, 65.88, and 67.75. Using the IQR, I think the Q1 to the median has more dispersion because the majority of the students doing their homework are getting above average grades, whereas a small number of students decide not to do their homework. 

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. 

                    Z = (my score - mean)/ standard deviation

        My z-score:  98.78- 87.79/12.84 = 0.8559

                      My z-score: 0.8559

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 means that I scored half a standard deviation higher than the mean. I happy with my score because I feel finishing the homework is very necessary to succeed in this class.

 

Result 1: Histogram   [Info]
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Result 2: Stem and Leaf Plot   [Info]
Variable: Homework

Decimal point is 1 digit(s) to the right of the colon.
Leaf unit = 1
 5 : 2
 5 : 7
 6 : 2
 6 : 68
 7 : 4
 7 : 78
 8 : 
 8 : 6667799
 9 : 023344
 9 : 56666678888899
10 : 0



Result 3: Dotplot   [Info]
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Result 4: Boxplot   [Info]
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Result 5: Summary Stats   [Info]
Summary statistics:
ColumnnMinQ1MedianQ3MaxIQRMeanStd. dev.
Homework3652.4885.6992.69596.9799.7611.2887.78666712.837555