Mean Median Outliers

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

• 58

• 59

• 60

• 118

Find the mean of these numbers:
5,11,2,12,4,2

• 4.1

• 6

• 4.5

• 4

How would you describe the mean?

• difference

• average

• middle

• most repeated number

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

• 5

• 6

• 9

• 11

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.

The table shows the distances that schools will travel to attend a field trip to the state capitol. School 7 has to travel 15 miles. If this outlier is added to the data, which is a true statement about how it changes the data in the table? Select all statements that apply.

• The data is more spread.

• The median stays the same, and the mean changes.

• There is no change in the median and mean.

• Both the median and the mean change.

• The data is less spread.

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.

Liam works at a zoo. He was looking at some data showing the masses of their 5 Thai elephants. The mean mass of the elephants was 2,800kg and the median mass was 2,600kg. The heaviest elephant, named Omar, was recorded as 5,000kg. Liam then found out that Omar's mass was written down incorrectly, and that Omar actually has a mass of 6,000kg. How will increasing Omar's mass affect the mean and median?

• Both the mean and median will increase.

• The median will increase, and the mean will stay the same.

• The mean will increase, and the median will stay the same.

• Nothing will change

Consider the dataset: 1, 1, 2, 2, 3, 3, 4, 4, 100. Which of the following statements is true?

• The mean is less than the median.

• The mean is greater than the median.

• The mean is equal to the median.

• The dataset has no outliers.

Xavier earned the following test scores in math: 95, 90, 100, 85, 80 Ms. Bradley accidentally entered his next test score as 0. Which of these statements are true? Check all that apply.

• Before the error, the mean and the median were both 90.

• Before the error, the mean was 90 and the median was 100.

• The error added an outlier to the data set.

• After the error, the median remained the same.

• The mean was impacted by the error more than the median.