7.12A, 7.12C - Comparing of Data

Which of the following best describes the "center" of a data set when comparing two groups using box plots?

• The range of the data

• The median of the data

• The mode of the data

• The mean of the data

When comparing two dot plots, what does it mean if one plot has a larger spread than the other?

• The data points are more concentrated around the center

• The data points are more spread out from the center

• The data points are all the same

• The data points are closer to the mean

In a box plot, what does the length of the box represent?

• The range of the data

• The interquartile range (IQR)

• The mean of the data

• The mode of the data

If two box plots have the same median but different interquartile ranges, what can be inferred?

• The data sets have the same spread

• The data sets have different spreads

• The data sets have the same mode

• The data sets have different means

When comparing two populations using random samples, what is an informal inference you might make if one sample has a consistently higher mean than the other?

• The populations are identical

• The first population likely has a higher average than the second

• The second population likely has a higher average than the first

• The populations have the same spread

Which of the following is NOT a characteristic you would compare when analyzing two box plots?

• Shape

• Center

• Spread

• Color

If two dot plots have the same shape and center but different spreads, what does this indicate about the data sets?

• They have the same variability

• They have different variability

• They have the same number of data points

• They have different medians

What is the primary purpose of using comparative dot plots or box plots in data analysis?

• To determine the exact values of data points

• To visually compare the distributions of two data sets

• To calculate the mean of the data sets

• To find the mode of the data sets