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ECZ Grade 12 School Certificate Statistics — practice questions

Explore 8 free Statistics questions in ECZ Grade 12 School Certificate 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 1–8 of 8.

What is the middle value of an ordered data set called?Read the answer and worked solution →What is a value that lies far away from the rest of the data called?Read the answer and worked solution →A data set runs 3, 5, 8, 11, 14 and 16. What is its median?Read the answer and worked solution →A set of heights is measured in centimetres. In which units is its variance given?Read the answer and worked solution →The variance of a data set is 49. What is its standard deviation?Read the answer and worked solution →Put the five number summary in orderRead the answer and worked solution →Build an ogive step by stepRead the answer and worked solution →Merge clues into their skew shapeRead the answer and worked solution →

Worked practice questions

What is the middle value of an ordered data set called?

  1. The mean
  2. The mode
  3. The median
  4. The range
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Correct answer: C. The median

1. The data are first sorted from smallest to largest. 2. The median is the middle value of that ordered data set. 3. The mean is worked out differently, by adding the values and dividing by how many there are. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 11: Statistics_

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What is a value that lies far away from the rest of the data called?

  1. A quartile
  2. A midpoint
  3. An average
  4. An outlier
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Correct answer: D. An outlier

1. Most values in a data set cluster together in one region. 2. A value far away from the rest of the values is called an outlier. 3. On a box and whisker diagram such a value usually sits out near a whisker. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 11: Statistics_

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A data set runs 3, 5, 8, 11, 14 and 16. What is its median?

  1. It is 8
  2. It is 11
  3. It is 9.5
  4. It is 9
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Correct answer: C. It is 9.5

1. The data are already sorted from smallest to largest. 2. There are six values, which is an even number, so no single value sits in the middle. 3. The middle lies between the third value, 8, and the fourth value, 11. 4. When the middle falls between two values, the median is the average of those two values. 5. Adding 8 and 11 gives 19, and half of 19 is 9.5. 6. Answering 8 or 11 picks one of the two middle values instead of averaging them. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 11: Statistics_

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More Mathematics topics

ProbabilityBinomial TheoremCorrelation and RegressionGeometryMeanMedianPermcombPermutations and Combinations