Skewed Distributions

Which of the following statement(s) is true?

• The distribution is skewed right.

• The interquartile range is about 8.

• The median is about 10.

• Fifty percent of the data is between about 10 and about 18.

The dotplot below shows the number of televisions owned by each family on a city block. Which of the following statements is true?

• The distribution is skewed to the right without any outliers.

• The distribution is skewed to the left with one outlier.

• The distribution is skewed to the left without any outliers.

• The distribution is skewed to the right with one outlier.

The histogram below shows the ages of the members of a club.

• The club is more desirable to an older audience, so the data is skewed to the right.

• The club is more desirable to an older audience, so the data is skewed to the left.

• The is equally desirable to all age groups, so the data is uniformly distributed.

• The club is equally desirable to all age groups, so the data is symmetric.

Which data set is skewed left?

• A

• B

• C

The table below shows the number of questions ten students answered incorrectly on a fifty question test. Which statement describes the display of the distribution of questions answered incorrectly?

• A student who missed 0 items caused the distribution to be skewed to the right.

• A student who missed 0 items caused the distribution to be skewed to the left.

• A student who missed 14 items caused the distribution to be skewed to the right.

• A student who missed 14 items caused the distribution to be skewed to the left.

The list below shows the number of baseball cards seven people own.

130, 142, 145, 145, 150, 163, 121

An eighth person owns 842 baseball cards. What effect does the eighth person have on the distribution of the data?

• The data distribution will become skewed to the left.

• The data distribution will become skewed to the right.

• The data distribution will become more symmetrical.

• The data distribution will become less spread.

Given the data set below, determine the shape of the distribution.

15, 45, 50, 55, 60, 65

• Skewed Left

• Skewed Right

• Symmetric

The figure shows the age distribution of homebuyers and the percent of the market each age range makes up in a particular geographic region. Based on the information in the figure, which of the following statements is true?

• The shape of the data is skewed to the right, so the mean age of homebuyers is greater than the median.

• The shape of the data is skewed to the left, so the median age of homebuyers is greater than the mean.

• The shape of the data is fairly symmetric, so the mean age of homebuyers is approximately equal to the median.

• The data has no clear shape, so it is impossible to make a reliable statement comparing the mean and the median.