2.6 Skewness and the Mean, Median, and Mode Quiz

In a perfectly symmetrical distribution, which of the following is true?

• The mode is greater than the mean.

• The mean and the median are the same.

• The median is less than the mode.

• The mean is greater than the median.

What is the mode of the data set: 4; 5; 6; 6; 6; 7; 7; 7; 7; 7; 7; 8; 8; 8; 9; 10?

• 6

• 7

• 8

• 9

In a distribution skewed to the left, which of the following is true?

• The mean and the median are the same.

• The mean is less than the median.

• The mode is greater than the mean.

• The mean is greater than the median.

In a symmetrical distribution, what is the relationship between the mean and the median?

• The mean is always greater than the mode.

• The mean is always greater than the median.

• The mean is always less than the median.

• The mean and the median are approximately equal.

In a distribution skewed to the left, which measure of central tendency is most affected?

• Mean

• Median

• Mode

• Range

Select all displays that model right skewed data.

• 
• 
• 
• 
• 

• Skewed Left
• Skewed Right
• Uniform
• Symmetric

This distribution is ​ (a)   so we should use the ​ (b)   as a measure of center.

• right skewed
• median
• fairly symmetric
• left skewed
• mean
• standard deviation
• range
• mode