What is the five-number summary for this distribution?

Answer: 50, 68, 78, 88, 98 The five-number summary in order is: minimum, Q1, median, Q3, maximum = 50, 68, 78, 88, 98.

Which statement best compares the two classes?

Answer: Class B has a higher median than Class A The median line for Class B (around 220 on the axis ≈ higher score) lies to the right of Class A's median (around 190).

The line inside the box of a boxplot represents the

Answer: Median The center line is the median (Q2).

AP Statistics · Topic 1.8

Graphical Representations of Summary Statistics Practice

Part of Exploring One-Variable Data.(UNC-1.F)

Practice questions

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Sample questions

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Sample 1difficulty 2/5
$The boxplot shows exam scores for 40 AP Statistics students.$
$What is the five-number summary for this distribution?$
- A
  $50, 68, 78, 88, 98$
  check_circle
- B
  $50, 78, 88, 98, 98$
- C
  $68, 78, 88, 98, 50$
- D
  $0, 50, 78, 98, 100$
Why
$The five-number summary in order is: minimum, Q1, median, Q3, maximum = 50, 68, 78, 88, 98.$
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Sample 2difficulty 3/5
$Side-by-side boxplots compare exam scores in Class A and Class B.$
$Which statement best compares the two classes?$
- A
  $Class A has a higher median than Class B$
- B
  $Class A has smaller spread than Class B$
- C
  $Both classes have identical medians$
- D
  $Class B has a higher median than Class A$
  check_circle
Why
$The median line for Class B (around 220 on the axis \approx higher score) lies to the right of Class A's median (around 190).$
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Sample 3difficulty 3/5
$The line inside the box of a boxplot represents the$
- A
  $Mean$
- B
  $Mode$
- C
  $Median$
  check_circle
- D
  $Standard deviation$
Why
$The center line is the median (Q2).$
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Sample 4difficulty 3/5
$On a regular (non-modified) boxplot, the right whisker extends from Q3 to which value?$
$The right whisker on a standard boxplot extends to:$
- A
  $The maximum value$
  check_circle
- B
  $The 90th percentile$
- C
  $Q3 + 1.5\timesIQR$
- D
  $The mean$
Why
$On a standard (non-modified) boxplot, whiskers extend all the way to the minimum and maximum values.$
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Sample 5difficulty 3/5
$The modified boxplot displays a distribution with one isolated point.$
$What does the isolated red point represent?$
- A
  $The median$
- B
  $Q3$
- C
  $The mean$
- D
  $An outlier (beyond 1.5\timesIQR from a quartile)$
  check_circle
Why
$Modified boxplots use whiskers extending only to the most extreme non-outliers; outliers are plotted individually.$
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