Comparing Data Sets Quiz

The table shows the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B). Which would be the best measures of center and variation to use to compare the data? The scores of Group B are skewed right, so the mean and range are the best measures for comparison. Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison. Both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparison. The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.

Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.

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.

Both distributions are nearly symmetric.

The table shows the battery lives, in hours, of ten Brand A batteries and ten Brand B batteries. Which would be the best measure of variability to use to compare the data? Only Brand A data is symmetric, so standard deviation is the best measure to compare variability. Only Brand B data is symmetric, so the median is the best measure to compare variability. Both distributions are symmetric, so the mean is the best measure to compare variability. Both distributions are skewed left, so the interquartile range is the best measure to compare variability.

Both distributions are skewed left, so the interquartile range is the best measure to compare variability.

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

NOT: mean TRY: median

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

interquartile range

Two histograms showing the number of pets owned by boys and girls in a science class are each skewed left. Which measure of variability should be used to describe the data? mean median standard deviation interquartile range

interquartile range

The box plots show the data distributions for the number of laps two students run around a track each day. Which statement is true about the data? 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 difference between the medians of both data sets is 4.

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

The box plots represent the distributions of typing speeds of students before and after a computer-programming course. Which statement is true about the variability of the distributions? The interquartile range of the typing speeds after the course is greater than the interquartile range of the speeds before the course. The interquartile ranges of the two distributions are the same. The range of the speeds after the course is smaller than the range of the speeds before the course. The ranges of the two distributions are the same.

The range of the speeds after the course is smaller than the range of the speeds before the course.

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.

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