Analyze and Compare Data Sets

What are some common methods to compare distributions?

• Regression analysis, data visualization, machine learning algorithms

• Quantitative analysis, correlation analysis, clustering techniques

• Visual inspection, summary statistics, hypothesis testing, graphical techniques

• Sampling techniques, data cleaning, data transformation

What is the shape of the distribution shown?

• The distribution is skewed to the right.

• The distribution is skewed to the left.

• The distribution is approximately symmetrical.

• The distribution is bimodal.

What is the shape of the distribution?

• The distribution is approximately symmetrical.

• The distribution is skewed to the right.

• The distribution is skewed to the left.

• The distribution is approximately uniform.

Which word best describes the distribution?

• Bimodal

• Multimodal

• Right Skewed

• Unimodal

Which statement best describes this graph?

• There is a peak at 47.

• There is a cluster around 38-40.

• The mode is 40.

• There is a gap in the data between 39-40.

Given the data set below:
15, 56, 58, 60, 63, 75, 80, 80, 85
How does the outlier affect the distribution of the data?

• The outlier skews the distribution to the left.

• The outlier skews the distribution to the right.

• The outlier makes the distribution more symmetrical.

• The outlier has no effect on the distribution.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

• Median: 54

  First Quartile: 49

  Third Quartile: 67

  IQR: 18

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 21

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 22

• Median: 54

  First Quartile: 49

  Third Quartile: 69

  IQR: 20

The table shows the points earned by contestants in a competition. Find the range and the interquartile range of the points.

• Range: 15

  IQR: 10

• Range: 15

  IQR: 11

• Range: 15

  IQR: 12

• Range: 15

  IQR: 13

What is the shape of the distribution?

• Symmetrical

• Uniform

• Skewed Right

• Skewed Left

What is the interquartile range (IQR)?

• 4

• 64

• 60

• 8