Statistics

Multiple Choice

Why is the median often considered a more reliable measure of center than the mean when a data set contains outliers?

• Because the median is less affected by outliers than the mean.

• Because the mean is always higher than the median.

• Because the median uses all data values, while the mean does not.

• Because the median is calculated using the average of all values.

Fill in the Blanks

1) Tina and her firends have all seen the latest vampire movie. They each gave the movie a rating out of five stars. This line plot shows the results. The distribution of movie ratings is best described as skewed

. So, the interquartile range is a more appropriate measure of variation than the mean absolute deviation.

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2) In Jerry's P.E. class, the students counted how many times they could each jump rope in one minute. This histogram shows their findings.

The distribution of jumps is best describes as symmetric with high outliers. So, the

is more appropriate measure of center.

Fill in the Blanks

3) Edward moved to a new city where the wheather was much different than he was used to, so he decided to track the daily high temperature. This histogram shows the distribution of high temperatures last month.

The distribution of temperatures is best described as

. So, the mean is an appropraite measure of center.

Multiple Choice

Based on the histogram of runs scored per game for the San Marcos Sliders, what is the shape of the distribution?

• Symmetric

• Skewed to the right

• Uniform

• Bimodal

Fill in the Blanks

The manager of the San Marcos Sliders baseball team keeps track of the number of runs the team scores each season. This histogram shows the distribution of runs scored per game this season.

The distribution of runs scored is best described as not symmetric. So, the

absolute deviation is not an appropriate measure of variation.

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Sidney surveyed the students in her drama club to see how they rated the new survival show The Arctic to the Amazon. This line plot shows the distribution of the number of stars they gave the show.

The distribution of the number of stars is best described as

. So, the mean absolute deviation and the interquartile range are both appropriate measures of variation.

Fill in the Blanks

The distribution of distances is best described as ___. So, the ___ are both appropriate measures of center.

Multiple Choice

Which of the following best describes the shape of the distribution of distances from the practice field?

• Symmetric

• Skewed left

• Skewed right

• Uniform

Multiple Choice

What is the shape of the distribution of daily screen times in Edwin's scout troop, and which measures of center are appropriate for this distribution?

• Symmetric; mean and median

• Skewed to the right; only median

• Skewed to the left; only mean

• Uniform; mean and mode

Multiple Choice

Which measure of center is NOT appropriate for the distribution of the number of pizza toppings, and why?

• Mean, because the distribution is not symmetric

• Median, because the distribution is symmetric

• Mode, because there are no repeated values

• Mean, because the distribution is symmetric

Multiple Select

Select all the statements that describe the distribution of the data.

• The distribution is uniform across all values of books read.
• The data is spread out from 3 to 8 books.

• The distribution has a peak of 8 books.

• The distribution is left-skewed.

Multiple Select

Last winter, Jen's scout troop volunteered at a gift wrapping event. Jen recorded the number of gifts each troop member wrapped.

Select all the statements that describe the distribution of the data.

• There is a cluster from 15 to 17 gifts.

• The data is skewed left.

• There is a gap from 13 to 14 gifts.

Multiple Choice

What is the main difference between mean and median as measures of center?

• The mean is always greater than the median.

• The mean is calculated by averaging all values, while the median is the middle value when data is ordered.

• The median is affected by outliers, but the mean is not.

• The mean is only used for symmetric distributions.