Mean, Median, Mode

The mean weight of 8 girls in a group is 35 kg. The individual weights of seven of them are 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg. Find the weight of the 8th girl.

• 39 kg

• 41 kg

• 43 kg

• 45 kg

Which of the following is the BEST description of the data?

• The mean is 3.9, peak at 5, gap at 3, and outlier at 8

• The mode is 5, peak at 5, gaps at 3 & 7, outlier at 8

• The median is 4, peak at 5, gaps at 3 & 7, and no outlier

• The range is 8, peak at 5, the data is symmetrical, gaps at 3 & 7

What are the mean and median for the data?

7.4, 8.5, 5.6, 9.3, 5.7

• Mean 36.5, Median 5.6

• Mean 7.3, Median 5.6

• Mean 7.3, Median 7.4

• Mean 36.5, Median 7.4

Given the following data set What is the mean of the data set without the outlier(s)?

• 9.2

• 9.7

• 11.1

• 12.4

The prices at several different stores for a pair of shoes are

$78, $79, $81, $82, $83. Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

• Nothing will be affected.

• The median will increase.

• The mean and the median will increase.

• The mean will decrease.

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 measures of center?

• The median will decrease

• The mean will decrease

• The mean will increase

• The median will increase

The data in the table represents the ages of several people in a class. What effect does Mr. Smith’s age have on the data set?

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

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

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

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

The table shows the lengths of fences that 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.

Gabriella’s quiz grades are 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 ages of the starting players of two soccer teams are shown below. Knights: 16, 18, 15, 14, 17, 17, 18, 16, 17, 14, 17 Trojans: 18, 14, 17, 15, 15, 14, 16, 18, 16, 18, 16 Based on this data, select all the true statements below.

• The median of ages on the Knights team is greater than the median of ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the median of the ages on the Trojans team.

• The median of ages on the Knights team is one greater than the range of ages on the Trojans team.

• The mean of the ages on the Knights team is less than the mean of the ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the mean of the ages on the Trojans team.