AP Stats Quantitative Data Displays

When describing a distribution, SOCS stands for:

• Shape, Outliers, Center, Skewness

• Symmetric, Outliers, Center, Spread

• Shape, Outliers, Center, Spread

• Shape, Outliers, Change, Spread

The parts of a skewed distribution that trail off either on the left or right side

• Ends

• Tails

• Gaps

• Mode

If the distribution is symmetric, we report

• Mean and Standard Deviation

• Median and Standard Deviation

• Median and IQR

• Mean and IQR

The back- to –back stemplot shows the amount of protein in certain foods. Which of the following is a true statement?

• The distribution of dairy products is skewed left.

• The distribution of legumes, nuts and seeds is skewed left.

• Both distributions are skewed right.

• Both distributions are relatively symmetric. 

The stemplot displays the 1988 per capita income (in hundreds of dollars) of the 50 states.  Which of the following best describes the data?

• Skewed distribution, mean greater than median

• Skewed distribution, median greater than mean

• Symmetric distribution, mean greater than median

• Symmetric distribution, median greater than mean

• Symmetric distribution with outliers on high end

For which of the following distributions is the mean greater than the median?

• A

• B

• C

• D

• E

The following histogram shows the ages, in years, of the people who attended a documentary at a movie theater. Based on the histogram, which of the following statements best describes the relationship between the mean and the median of the distribution of ages?

• The mean and the median are equal in value because the distribution is symmetric.

• The mean is most likely less than the median because the distribution is skewed to the right.

• The mean is most likely less than the median because the distribution is skewed to the left.

• The mean is most likely greater than the median because the distribution is skewed to the right.

• The mean is most likely greater than the median because the distribution is skewed to the left.

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data has the least amount of variability?

• 1

• 2

• 3

• 4

What percent of students have less than 1,000 songs on their MP3 players?

• 15%

• 80%

• 20%

• 45%

How many employees are there that make between $33,000 and $43,000

• 250

• 500

• 550

• 750