Outliers and 1.5 IQR rule

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

• 18

• 27

• 30

• 12

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

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

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

• 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

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

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

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

• No outliers.

• 43 is an outlier.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

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

52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88

• No outliers.

• 88 is an outlier.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease

• The median will decrease

• The mean will increase

• The median will increase

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.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

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Find the Mean of the following numbers:
84, 88, 72, 74, 98, 16, 94 
(Round to the nearest tenth.)

• 75.1
• 84.5
• 16.0
• There is no Mean.

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Find the IQR of the following numbers:

84, 88, 72, 74, 98, 16, 94

• 78

• 22

• 16

• There is no IQR.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 

• Yes, 16 is an outlier.

• Yes, 33 is an outlier.

• Yes, 98 is an outlier.

• There are no numbers less than 39 or greater than 124, therefore there are no outliers.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

Mario wants to his parents to think he is doing very well in math class. His tests this quarter are 62, 50, 90, 90, and 43. Which measure of central tendency should he report to them?

• mean

• median

• mode

• IQR

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5