Data Differences

Calculate the interquartile range (IQR) of the following data set: 10, 15, 20, 25, 30, 35, 40.

• 45

• 12

• 22

• 20

Tags

CCSS.6.SP.B.5C

Apply the 1.5 x IQR rule to identify any outliers in the data set: 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64.

• There are no outliers in the given data set.

• Use the mean absolute deviation to detect outliers

• Exclude the highest and lowest values to find outliers

• Identify outliers using the 2 x IQR rule instead

Apply the 1.5 x IQR rule to identify any outliers in the data set: 12, 15, 18, 20, 22, 25, 28, 30, 35, 40, 45, 50, 55, 60.

• Identify 55 as an outlier

• Identify 18 as an outlier

• Identify 30 as an outlier

• There are no outliers in the given data set.

Using the 1.5 x IQR rule, determine the lower fence for the data set with an IQR of 12.

• Lower fence = Q1 - 1.5 * IQR = Q1 - 1.5 * 12

• Lower fence = Q3 + 1.5 * IQR = Q3 + 1.5 * 12

• Lower fence = Q1 + 1.5 * IQR = Q1 + 1.5 * 12

• Lower fence = Q3 - 1.5 * IQR = Q3 - 1.5 * 12

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.B.5C

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

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

• 73
• 40
• 80
• 73.5

Find the Maximum of the following numbers:
84, 88, 72, 74, 98, 16, 94 

• 16
• 98
• 84
• There is no maximum.

Tags

CCSS.1.NBT.B.3

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.B.5C

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve