Mean Median Mode Outliers

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.

Find the Mode of the following numbers.

• 2

• 23

• 5

• 50

Find the Mean of the following data points.

• 30

• 28

• 26.8

• 27.9

What is the mean of the data set:
8.9, 9.4, 8.6, 9.1

• 8.5

• 8.9

• 9

• 9.1

Find the mean, median, and mode(s) of the data with and without the outlier. Which measure did the outlier affect the most?

(a)  

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.

Find the mean, median, and mode(s) of the data with and without the outlier. Which measure did the outlier affect the most?

(a)  

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.

If the weight of the polar bear is removed, which statement is true?

• The mean decreases more than the median because the polar bear is a high

  outlier.

• The mean decreases less than the median because the polar bear is a high

  outlier.

• The mean decreases more than the median because the high value balances

  the low value.

• The mean decreases less than the median because the high value balances

  the low value.

Identify the outlier in the dataset: 100, 102, 99, 101, 103, 450.

• 99

• 103

• 450

• 100