Which best describes the shape of this distribution?

Answer: Approximately symmetric and unimodal The bars rise to a single central peak then fall off similarly on each side — symmetric and unimodal.

What does SOCS stand for?

Answer: Shape, Outliers, Center, Spread SOCS = Shape, Outliers, Center, Spread — the four key features used to describe a quantitative distribution.

Which best describes the shape of this distribution?

Answer: Skewed left The tail extends toward smaller values on the left while most data piles up on the right — a left-skewed distribution.

AP Statistics · Topic 1.6

Describing the Distribution of a Quantitative Variable Practice

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

Practice questions

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Sample questions

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Sample 1difficulty 2/5
$A psychologist plotted IQ scores from a random sample of 200 adults.$
$Which best describes the shape of this distribution?$
- A
  $Skewed right$
- B
  $Uniform$
- C
  $Approximately symmetric and unimodal$
  check_circle
- D
  $Bimodal$
Why
$The bars rise to a single central peak then fall off similarly on each side — symmetric and unimodal.$
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Sample 2difficulty 2/5
$A student is taught the mnemonic SOCS for describing distributions of quantitative data.$
$What does SOCS stand for?$
- A
  $Symmetry, Outliers, Count, Skew$
- B
  $Standard deviation, Outliers, Count, Sum$
- C
  $Shape, Order, Center, Statistics$
- D
  $Shape, Outliers, Center, Spread$
  check_circle
Why
$SOCS = Shape, Outliers, Center, Spread — the four key features used to describe a quantitative distribution.$
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Sample 3difficulty 2/5
$The histogram displays the distribution of scores on a very easy quiz.$
$Which best describes the shape of this distribution?$
- A
  $Uniform$
- B
  $Skewed right$
- C
  $Skewed left$
  check_circle
- D
  $Approximately symmetric$
Why
$The tail extends toward smaller values on the left while most data piles up on the right — a left-skewed distribution.$
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Sample 4difficulty 2/5
$The histogram shows the distribution of home prices in a small town.$
$Which best describes the shape of this distribution?$
- A
  $Skewed left$
- B
  $Approximately symmetric$
- C
  $Bimodal$
- D
  $Skewed right$
  check_circle
Why
$The tail extends to the right (higher values), indicating right-skew, typical of price distributions.$
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Sample 5difficulty 2/5
$A score at the 75th percentile means$
- A
  $75% of scores were at or below this score$
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- B
  $Score is 75$
- C
  $75% of scores were higher$
- D
  $Top 25% by mean$
Why
$Percentile = % of values at or below.$
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