Describe Data Distributions

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 interquartile range (IQR)?

• 4

• 64

• 60

• 8

Describe the center and spread of the data using either the mean and standard deviation or the five-number summary.

• Skewed so use the Mean and Standard Deviation.

  Mean: 50.5

  Standard Deviation: 12.5

• Symmetric so use the Mean and Standard Deviation.

  Mean: 50.5

  Standard Deviation: 12.5

• Symmetric so use the Five Number Summary.

  Minimum: 25

  Quartile 1: 45

  Median: 50

  Quartile 3: 57.5

  Maximum: 76

• Skewed so use the Five Number Summary.

  Minimum: 25

  Quartile 1: 45

  Median: 50

  Quartile 3: 57.5

  Maximum: 76

Describe the clusters in this distribution.

• There is a cluster from 16-21.

• There is no cluster because the data is all together.

Describe the gaps in the distribution.

• There are no gaps in the data.

• There is a gap at 15

• There is a gap at 22

Describe the outliers in the distribution.

• There is an outlier at 18

• There is an outlier at 22

• There are no outliers.

Describe the peak of the distribution.

• There is no peak of the distribution.

• There is a peak at 16

• There is a peak at 16, 18, and 20.

• There is a peak at 20.

Is there symmetry in this data?

• no, it isn't even on both sides

• yes, the left side matches the right side