Statistics: measures of dispersion — KCSE Mathematics
KCSE Mathematics · 104 practice questions · 4 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Calculate the range and interquartile range (IQR = Q₃ – Q₁) for ungrouped and grouped data
Calculate the variance and standard deviation for ungrouped data and interpret the spread of a data set
Construct a box-and-whisker plot using the five-number summary (min, Q₁, median, Q₃, max) and interpret the shape of the distribution
Statistics: measures of dispersion
Sample Questions
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In a school sports day, the times (in seconds) for six athletes to complete a race are: 12, 15, 11, 14, 13, 16. Explain how to calculate the five-number summary and state what the box-and-whisker plot reveals about the athletes' performance. (4 marks)
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The monthly temperatures (in °C) recorded for a city over six months are: 22, 25, 27, 23, 30, 28. Describe how to determine the five-number summary and interpret what the box-and-whisker plot indicates about the temperature distribution. (4 marks)
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The weights (in kg) of seven parcels are: 10, 12, 14, 9, 11, 13, 15. (a) Calculate the variance of the weights. (2 marks) (b) Calculate the standard deviation of the weights. (2 marks)
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Why Practise Statistics: measures of dispersion?
KNEC Aligned
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