Measures of Center and Variation

Noah recorded low temperatures for some days in October. The temperatures are listed below.

48, 43, 45, 43, 46, 56, 54, 52, 54

Which statement about these temperatures is true?

• The median low temperature is 50.

• The median low temperature is 46.

• The interquartile range is 13.

• The interquartile range is 10.

A set of data is shown below.

18, 27, 10, 16, 30, 26, 18, 28

What is the median of this set of data?

• 16 and 30

• 18 and 26

• 22

• 23

The heights, in inches (in.), of four students are 48, 50, 52, and 50. The mean height of these students is 50 in. A student is added to the group. The mean height of the five students is 49 in. How tall is the shortest student in the group of five students?

• 50 in.

• 49 in.

• 48 in.

• 45 in.

Six children each made a paper chain. The length of each of the six paper chains, in feet, is listed below.

11 1/2, 5 1/4, 12 1/4, 3 1/2, 6 1/4, 9 1/4

What is the mean length of paper chain the children made?

• 6 feet

• 7 3/4 feet

• 8 feet

• 8 3/4 feet

The mean of a data set is 5, and the range of the data set is 7. Which sentence about the data set must be true?

• The data set contains only numbers between 0 and 7.

• The middle number of the data set is 5.

• The greatest value in the data set is 7.

• The average value of the data set is 5.

Joey volunteers at an animal shelter. Which questions are statistical questions that Joey can ask about the animal shelter? Select all that apply.

• What is the average age of kittens at the shelter?

• How many male dogs are at the shelter?

• What is the typical weight for an adult cat at the shelter?

• What is the cost to adopt a puppy from the shelter?

• How many animals does the shelter take in per month?