Lesson Y8-U03-L03

Y8-U03-L03 Averages and Spread: Mean, Median, Mode and Range Quiz: KS3 Geography, Unit 9

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson Y8-U03-L03, Averages and Spread: Mean, Median, Mode and Range: 20 multiple choice questions for the KS3 Geography (National Curriculum), Unit 9: Year 8: Development and Global Inequality, written with Revision Ninja.

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The 20 questions

  1. How do you calculate the mean of a set of values?

    • Add all the values, then divide by how many values there are
    • Find the value that appears most often
    • Subtract the smallest value from the largest
    • Pick the middle value after putting the numbers in order

  2. What is the median of a data set?

    • The middle value when the numbers are in order from smallest to largest
    • The total of all values divided by two, giving half the sum of the set
    • The biggest value minus the smallest value, giving the spread of the data
    • The value that appears most often in the data set, the most common one

  3. What is the mode of a data set?

    • The value that appears most often
    • The middle value of the ordered list
    • The average of the largest and smallest values
    • The total of all the values added together

  4. How is the range calculated?

    • The total of all values divided by how many there are
    • The middle value after ordering the data
    • The biggest value take away the smallest value
    • The value that appears most often

  5. What does a large range tell you about a set of data?

    • The most common value in the data is very high, so most numbers are large
    • There are a great many values in the data set, so the sample is very large
    • The average of the data is very high, so the numbers cluster near the top
    • The data is widely spread, so there is a big gap between the highest and lowest values

  6. What is inequality?

    • When a country's population is shrinking year after year
    • When the average income rises each year for the whole population
    • When every person has exactly the same income each year
    • When some people have far more money or services than others

  7. Which measure is the everyday word 'average' that most people use?

    • Mode
    • Median
    • Mean
    • Range

  8. Before finding the median, what must you do to the numbers?

    • Multiply each value by two
    • Remove the largest value from the list
    • Add them all together first
    • Put them in order from smallest to largest

  9. Find the mean of 2, 4 and 9.

    • 4
    • 15
    • 6
    • 5

  10. Find the median of 12, 3, 9, 7 and 20.

    • 12
    • 7
    • 10
    • 9

  11. What is the mode of 4, 8, 8, 8, 10 and 10?

    • 10
    • 8
    • 4
    • 6

  12. What is the range of life expectancies 58, 64, 71 and 79 years?

    • 13 years
    • 21 years
    • 58 years
    • 137 years

  13. Which data set shows the greater inequality?

    • Set 2: 40 and 50, with a range of 10
    • Both have the same range of 20
    • Set 1: 1 and 90, with a range of 89
    • Neither set has a range

  14. Norway's poorest group earns 22 and its richest earns 75 (in the same units). What is the range?

    • 75
    • 97
    • 22
    • 53

  15. South Africa's data shows a poorest figure of 1 and a richest of 90. Which description is best?

    • A very large range, showing a big gap between rich and poor
    • A small range, showing that everyone earns about the same
    • A mode of 1, showing the typical person is very rich
    • A median of 90, showing most people are rich

  16. Find the mean of incomes 30, 30, 30 and 90.

    • 45
    • 60
    • 30
    • 40

  17. Two villages have the same mean income. Why can they still be very different?

    • The mean always shows only the poorest person's income in each village
    • Their ranges may differ, so one can have a much larger gap between rich and poor
    • Villages with more houses always have a different mean income figure
    • Mean income is measured only in cities, so villages are left out entirely

  18. Explain why a government might report both the mean and the range.

    • The mean shows a typical level, while the range shows whether the gap between people is large
    • Reporting both is illegal, so the range is kept hidden from the public in reports
    • The mean is always wrong, so the range is used to correct it each year
    • The range shows the average and the mean shows the gap between the rich and poor

  19. A country's mean income rises but its range also rises. What does this suggest?

    • Everyone is gaining equally, so inequality has fallen across the whole country
    • The richest people may be gaining faster, so inequality may be growing
    • The range has no link to income, so nothing can be said about the country
    • The mean must have fallen, so the country is poorer than it was before

  20. Evaluate using the mean alone to judge a country's wealth.

    • It is useless, because income can never be averaged
    • It is complete, because the mean shows the richest and poorest people exactly
    • It is incomplete, because a high mean can hide a large gap between rich and poor
    • It is fine, because the median always equals the mean

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