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Principles of Data Science

Critical Thinking

Principles of Data ScienceCritical Thinking

Critical Thinking

1 .
 
a.
For the following five-number summary of a dataset of textbook cost per student per semester, create a horizontal boxplot.
Minimum = $ 83 First Quartile = $ 255 Median = $ 481 Third Quartile = $ 604 Maximum = $ 793
b.
Analyze the boxplot and comment on variability, symmetry, and skewness.
2 .
 
a.
Create a graph for the binomial distribution with n = 50 and p = 0.75 .
b.
Analyze the graph and comment on symmetry and skewness.
3 .
 
a.
Create a graph for the Poisson distribution with mean μ = 7 .
b.
Analyze the graph and comment on symmetry and skewness.
4 .
 
a.
Create a graph of the normal distribution for weights of car engines with mean of 200 kilograms and standard deviation of 15 kilograms.
b.
Analyze the graph and comment on symmetry and skewness.
c.
Determine the probability that a random engine weighs more than 245 kilograms.
5 .
 
a.
Create a time series chart for dataset in the table as shown. The following data represents the number of subscribers to a social media site over a 7-year time period.

Year Subscribers (in millions)
1 6.3
2 7.9
3 11.0
4 9.8
5 8.2
6 6.4
7 4.9
Table 9.9 Social Media Subscribers
b.
Comment on any trends based on a review of the graph.
6 .
Access and download any dataset from the Seaborn repository at https://github.com/mwaskom/seaborn-data.
a.
Create a correlation heatmap for the selected dataset to investigate correlations among the variables.
b.
From the heatmap, which two variables exhibit the strongest correlation?
c.
From the heatmap, which two variables exhibit the weakest correlation?
7 .
Access and download any dataset from the Seaborn repository at https://github.com/mwaskom/seaborn-data.
a.
Create a 3D visualization for the dataset.
b.
What conclusion can you draw from the 3D visualization?
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