Outlier and Box Plot

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

• 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?

• 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

What is the minimum value?

• 64

• 58

• 66

• 60

What is the maximum value?

• 58

• 66

• 64

• 60

What data value is the upper quartile (Q3)?

• 64

• 62

• 66

• 58

Which restaurant has a higher median wait time?

• Lucy's Steakhouse

• Gary's Grill

• They are the same

Which car club has the higher median?

• Cruisers

• Car Hops