Comparing Data Sets Answers

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The table shows the daily time, in minutes, Maggie spent at swim practice and band practice over the last ten days. Which statement is true about the measures of center of the practice times?

Maggie’s daily time at band practice tends to be greater than her time at swim practice.

Maggie’s daily time at band practice has less variation than her daily time at swim practice.

Maggie’s daily time at swim practice tends to be greater than her time at band practice.

Maggie’s daily time at swim practice tends to have more variation than her daily time at band practice.

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The box plots show the data distributions for the number of laps two students run around a track each day.

The difference between the medians of both data sets is 2.

The difference between the medians of both data sets is 4.

The difference between the ranges of both data sets is 2.

The difference between the ranges of both data sets is 4.

The box plots represent the ages of pennies in two 50-cent rolls.

She is correct because the medians are 10 years apart, which means the means are half of that, or 5 years apart.

She is correct because the maximum ages of the pennies in each set are 5 years apart.

She is not correct because the means are both equal to 12.

She may not be correct because means cannot be determined from the box plots.

The histogram shows the distributions of prices for packs of adult socks and packs of kid socks at a store. Which measure of center is the best to use to compare the prices of kid socks and adult socks?

range

mean

median

standard deviation

The histogram represents the distributions of boiling temperatures, in degrees Celsius, of tap water and a mixture of salt water.

The two distributions are each nearly symmetric.

The distributions do not overlap on the same range of temperatures.

The distribution of salt water boiling temperatures is left-skewed.

The distribution of tap water boiling temperatures is right-skewed.

The histogram shows the distributions of essay scores for high school sophomores and juniors in a contest. Which comparison of the distributions is true?

Both distributions are nearly symmetric.

Both distributions are right-skewed.

The distribution of sophomores’ scores is right-skewed, and the distribution of juniors’ scores is left-skewed.

The distribution of sophomores’ scores is left-skewed, and the distribution of juniors’ scores is right-skewed.

The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variability of the prices of socks in kid sizes or adult sizes?

There is more variability in the prices of kid socks because they have a greater range.

There is more variability in the prices of kid socks because the median is lower.

There is more variability in the prices of adult socks because there are two bars of equal height.

There is more variability in the prices of adult socks because the median is greater.

A research study was conducted to measure the time students focus on a task before being distracted. The box plots show the distributions of attention spans of high school and college students.Which statements are true regarding the data sets? Select two options.The median attention span of college students is greater than the median attention span of high school students. The range of attention span of college students is greater than the range of attention spans of high school students.The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.All of the college students in the study had greater attention spans than the high school students.The minimum attention span of high school students is greater than the minimum attention span of college students.

The median attention span of college students is greater than the median attention span of high school students.

The range of attention span of college students is greater than the range of attention spans of high school students.

The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.

All of the college students in the study had greater attention spans than the high school students.

The minimum attention span of high school students is greater than the minimum attention span of college students.

The box plots show the distributions of the numbers of words per line in an essay printed in two different fonts. Which measure of center would be best to compare the data sets?

The median is the best measure because both distributions are left-skewed.

The mean is the best measure because both distributions are left-skewed.

The median is the best measure because both distributions are symmetric.

The mean is the best measure because both distributions are symmetric.

The box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots?

interquartile range

standard deviation

mean

median

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