AP Statistics Five-Number Summary, Boxplots and Comparing Distributions Quiz: 10 Questions with Explanations

A 45B 20C 14D 35

IQR = Q3 – Q1 = 30 – 10 = 20. The value 45 is the range.

A Skewed leftB SymmetricC Skewed rightD Bimodal

The median is near Q1 and the upper whisker and upper half of the box are longer, so the data are skewed right.

A B has the larger medianB The medians are equal, but A is more variable than BC B has the larger rangeD The IQRs are equal

Both medians are 30. A has IQR 20 and range 40, while B has IQR 10 and range 20.

A 70B 58C 12D 44

IQR = 16, so the fences are 20 – 24 = -4 and 36 + 24 = 60. Only 70 is beyond a fence.

A 25%B 75%C 50%D 100%

The median splits the ordered data in half, so 50% lies at or below it.

A The meanB A value beyond a fence in the 1.5 IQR ruleC The modeD The maximum, always

A star marks an outlier. Here the upper fence is below 25, so 25 is plotted separately.

A City A has median 24 and City B has median 18B City A is biggerC A and B are differentD The median commute in City A (24 min) is greater than in City B (18 min), and A is more variable

A complete comparison uses comparison words, numbers, and context. Listing two numbers without comparing earns little credit.

A How many peaks the distribution hasB The medianC OutliersD The IQR

Only the five-number summary and outliers appear. A histogram would be needed to see modes and gaps.

A 40B 22C 37D 58

IQR = 12, and 22 + 1.5(12) = 40. The maximum 40 sits exactly at the fence and is not an outlier.

A The rangeB The meanC The standard deviationD The median

The median depends on the middle position only. The other three include the extreme value.