Effects of Outliers and Symmetrical Data

The data set below has an outlier of 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

Gabriella’s quiz grades are shown below. 88, 90, 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 and the mean to decrease

• The low score causes the median to decrease and the mean to increase

• The low score causes the median to increase and the mean to increase.

• The low score causes the median to decrease and the mean to decrease.

The data below represent the ages of several people in a class. What effect does Mr. Smith’s age have on the data set? Select ALL that APPLY.

• Mr. Smith’s age increases the range of the data.

• Mr. Smith's age skews the data to the left.

• Mr. Smith’s age increases the mean of the data.

• Mr. Smith’s age increases the median of the data.

• Mr. Smith's age skews the data to the right.

The following values show the lengths of fences a company installed during a week.  Which statement is true?

• The 275-foot fence caused the mean to be significantly lower than the median.

• The 275-foot fence caused the median to be significantly lower than the mean.

• The 2,250-foot fence caused the mean to be significantly greater than the median.

• The 2,250-foot fence caused the median to be significantly greater than the mean.

A bowler had the following scores after 5 games: 

196, 205, 197, 280, and 202.

How much does the bowler’s mean score increase if the outlier is considered, compared to if the outlier is not considered?

• 13

• 16

• 19

• 22

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

• Outlier

• Box Plot

• Range

• Histogram

Jacob recorded the ages of the people at a picnic. The data set is listed below. 12, 12, 14, 15, 16, 20, 24, 28, 32, 35, 36 What effect does the arrival of Jacob’s 72-year-old grandfather have on the mean age of people at the picnic?

• It increases by about 4.2.

• It increases by about 6.6.

• It decreases by about 4.2.

• It decreases by about 6.6.

Which of the following choices gives two measures that are both resistant to outliers?

• The mean and mean absolute deviation.

• The median and mean absolute deviation.

• The median and the IQR.

• The mean and the IQR.

Here are the scores that six students earned on quiz 1:
84, 94, 75, 89, 86, 74
The next week the same students earned these scores on quiz 2:
86, 90, 79, 50, 93, 75
Which of the following explains the relationship of the MEAN of the quiz scores?

• Quiz 1's mean will be higher because the max is higher

• Quiz 2's mean will be higher because more students made an A

• Quiz 1's mean will be lower because more students scored a B

• Quiz 2's mean will be lower because there was one very low score.

Which of the following best describes the shape of the distribution?

• SKEWED LEFT

• SKEWED RIGHT

• UNIFORM

• SYMMETRICAL