Interpreting Visuals [7.SP.4]

Which is true of every box plot?

• Both sides of the box are the same size

• The distance between the min and Q1 is the same as the distance between Q3 and the max

• About half of the data is captured by the box

• The median is one half of the maximum

Answer explanation

When data is skewed in different directions, the sides of the box might be a different size, Q3, Q1 or even the median could be shifted left or right on the number line.

Which of the following are true of the graph?

• The Ravens (green) have higher variability than the Chiefs (blue)

• The Chiefs (blue) have the fastest player

• The centers of each data set are close to each other

• Most players on the Ravens (green) are faster than most players on the Chiefs (blue)

Which are true based on the boxplots?

• The median distance at the Olympics is higher than at U.S. qualifying

• There is greater variability among U.S. qualifiers

• The centers of the data sets are similar

• It is not likely the U.S. won this event

These histograms compare the weights of football players in two universities. Which statements are true?

• The mean weight is larger at Mount Union (blue)

• The ellipsis (squiggly) on the bottom of each graph signals there is no data until the first tick mark

• Mount Union (blue) has more players than Alabama (green)

• All of the Alabama players (green) have more mass than all of the Mount Union players (blue)

Answer explanation

In a histogram or graph with large skips in the data, it is important to note it rather than making the marks on the graph unevenly spaced. It's part of accurately labeling a graph!

Which of the following are true?

• The final round (green) had higher variability than the semifinal round (blue)

• The center of the final round (green) was higher than the center of the semifinal round (blue)

• The minimum value in the semifinal round (blue) is higher than three values in the final round (green)

• The final round (green) was faster overall thean the semifinal round (blue).

A _______ is a visual representation that represents data as bars in equally sized groups.

What percentage of U.S. qualifiers would have distances within the range of the Olympic Final?

• 10%

• 50%

• 25%

• 0%

Which are accurate comparisons of the graphs?

• Minneapolis (green) is more frequently above 33 degrees than Portland (blue)

• Portland (blue) is typically hotter than Minneapolis (green)

• Minneapolis (green) has a lower minimum than Portland (blue)

• Portland (blue) is more frequently in the 20s than Minneapolis (green)

If the best U.S. qualifier met his distance at the Olympics, what medal would he earn?

• Bronze (3rd place)

• Silver (2nd place)

• Gold (1st place)

Which of the following are true about these box plots?

• The variability of lifespans in captivity is higher than the variability of life spans in the wild

• The birds typically live longer in captivity than in the wild

• The longest living bird in the wild roughly matches the median bird in captivity

• The center of lifespans in the wild is higher than the center of life spans in captivity