Outlier and Box Plot

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

• 73
• 40
• 80
• 73.5

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.

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

• 169
• 115, 169
• 111, 169
• 10, 169

The hourly salaries of the workers at a restaurant are shown below.

$7.75, $8.50, $7.25, $9.00, $30.00, $8.25, $7.75, $9.00

Identify the outlier and use it to determine which statement is true.

• The outlier is $7.25 which causes the mean to be a better representation of the typical salary than the median.

• The outlier is $7.25 which causes the median to be a better representation of typical salary than the mean.

• The outlier is $30.00 which causes the mean to be a better representation of the typical salary than the median.

• The outlier is $30.00 which causes the median to be a better representation of the typical salary than the mean.

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 if the outlier was removed.

• The median will decrease if the outlier was removed.

• The mean will increase if the outlier was removed.

• The IQR will increase if the outlier was removed.

• The median will increase if the outlier was removed.

A value that is much higher or much lower than the other values in a set of data.

• Outlier
• Box Plot
• Range
• Histogram

When using IQR to find outliers, which formula will identify the lower limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

When using IQR to find outliers, which formula will identify the upper limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

Given the following data set
6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14
What is the mean of the data set without the outlier(s)?

• 9.2
• 9.7
• 11.1
• 12.4