Calculating Outliers

Find the outlier in the set of data:
20, 52, 86, 80, 44, 49, 57, 41, 44, 55

• 86
• 41, 80, 86
• 80, 20, 86
• 80, 86

Find the outlier in the set of data:

4, 8, 11.6, 12.7, 19, 20.1, 23, 23, 29, 50, 57.5

• 57.5

• 50, 57.5

• 4, 50, 57.5

Using the information below, identify which of the following is NOT an outlier:
Q1 = 53
Q2 = 55
Q3=61

• 73
• 40
• 80
• 73.5

Using the information below, identify which of the following is an outlier:
Q1 = 3
Q2 = 7
Q3 = 12

• 22
• 25.5
• -8.5
• 26

Find the outlier in the set of data

10, 59, 67, 72, 73, 76, 88, 92, 106, 111, 115, 169

• 169

• 115, 169

• 111, 169

• 10, 169

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

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

• 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

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

157, 181,183, 189, 190, 203, 204, 212,

• Median: 189

  First Quartile: 182

  Third Quartile: 203

  IQR: 21

• Median: 189.5

  First Quartile: 182

  Third Quartile: 203

  IQR: 21

• Median: 189

  First Quartile: 182

  Third Quartile: 203.5

  IQR: 21.5

• Median: 189.5

  First Quartile: 182

  Third Quartile: 203.5

  IQR: 21.5

What are the correct expressions for using the IQR to determine if there is an outlier that is a lot less and a lot greater than the other values. Hint: Choose 2 expressions.

• Q1 - 1.5(IQR)

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q3 + 1.5(IQR)

Use the interquartile range to identify any outliers in the following data.

16, 22, 23, 25, 27, 29, 35, 40, 43

• No outliers.

• 43 is an outlier.

• 16 is an outlier

• 16 and 43 are outliers

Jacob recorded the ages of the people at a picnic. The data set is listed below.
12, 12, 14, 15, 16, 20, 24, 28, 32, 35, 36
What effect does the arrival of Jacob’s 72-year old grandfather have on the difference between the mean and the median ages of people at the picnic?

• The difference increases by about 2.1.
• The difference increases by about 3.3
• The difference increases by about 4.1
• The difference increases by about 4.3