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NSC / Matric Statistics — practice questions

Explore 26 free Statistics questions in NSC / Matric Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Statistics questions and exercises with answers

Showing questions 1–26 of 26.

What is the median of a data set?Read the answer and worked solution →What does the standard deviation of a data set measure?Read the answer and worked solution →Ice cream sales and shark attacks rise together every summer. What can safely be concluded?Read the answer and worked solution →What does the least squares method choose the line of best fit to do?Read the answer and worked solution →An ordered data set is 4, 7, 9, 12, 15, 18, 21, 24, 30. What is its inter-quartile range?Read the answer and worked solution →Tap the value that does not belongRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →

Worked practice questions

What is the median of a data set?

  1. The most common value
  2. The average of them all
  3. The largest minus smallest
  4. The middle ordered value
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Correct answer: D. The middle ordered value

1. Sort the data into ascending or descending order first. 2. The median is then the value that sits in the middle of that sorted list. 3. If the middle falls between two values, take the average of those two. 4. The most common value is the mode, which is a different measure. _Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 9: Statistics_

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What does the standard deviation of a data set measure?

  1. How spread out it is
  2. Where its centre lies
  3. How many values it has
  4. Which value repeats most
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Correct answer: A. How spread out it is

1. Measures of dispersion describe how widely the data are scattered. 2. The standard deviation is one of those measures. 3. It reports the average distance between the data values and the mean. 4. A small standard deviation means the data cluster tightly around the mean. 5. Where the centre lies is described by the mean or the median instead. _Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 9: Statistics_

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Ice cream sales and shark attacks rise together every summer. What can safely be concluded?

  1. Ice cream causes attacks
  2. They are only correlated
  3. Attacks cause ice cream sales
  4. There is no link at all here
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Correct answer: B. They are only correlated

1. Correlation measures how strongly two variables move together. 2. Moving together is not proof that one of them causes the other. 3. Here a third factor, warm weather, drives both variables at once. 4. Warm weather sends people to buy ice cream and it also sends them to the beach. 5. So the safe conclusion is that the two are correlated, and nothing more. _Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 9: Statistics_

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More Mathematics topics

Sequences and SeriesBinomial TheoremCorrelation and RegressionGeometryLinear ProgrammingMeanMedianPermcomb