Statistics Unit 1 Summative Assessment

Match the following vocab words to their definitions

• Quantitative

• This tells us what values the variable takes and how often it takes these values.

• Distribution

• Describes a variable that places individuals into one of several groups.

• Variable

• Describes a variable that takes numerical values where arithmetic operations make sense.

• Outlier

• An individual observation that falls outside the overall pattern of the graph.

• Categorical

• A characteristic of the individuals in a data set.

Match the following vocab word to the definition.

• Standard Deviation

• This measure of spread is non-resistant to extreme values.

• IQR

• kth percent of data falling below a specific value.

• Median

• This measure of center is non-resistant to extreme values.

• Mean

• This measure of spread is resistant to extreme values.

• Percentile

• This measure of center is resistant to extreme values.

A survey was conducted on the ages of teachers at a large local high school. Here is the data:

• A

• B

• C

• D

Mrs. G took her daughter, Susie, to the pediatrician she was at the 95th for her 1 year checkup. The doctor reported that percentile for her height. Which of the following is the correct interpretation of this percentile?

• Susie's height is 95% above the mean height for all babies.

• Susie 's height is 95% below the mean height for all babies.

• Susie's height is less than 95% of all baby heights.

• Susie's height is more than 95% of all baby heights.

The following two histograms show the fat content (in grams) listed per serving for 25 kinds of cereal for each brand - Kellogg and General Mills. Which of the following statements is INCORRECT?

• The median fat content for Kellogg is less than the median fat content for General Mills

• The mean fat content for General Mills is larger than the mean fat content for Kellogg

• The distribution for Kellogg's fat content is left skewed and the distribution for General Mills' fat content is approximately symmetri

• The IQR for both distri butions is 1g

Which of the following pie graphs represent the data in the frequency table below?

• A

• B

• C

• D

The following graphs shows the ages of the US House of Representatives before the 2022 election. What is the approximate IQR of this distribution?

• 18

• 50

• 58

• 25