Comparing Distributions

Author:Michele Conway, Belle Cottingham, Alastair Duncombe & Amanda George
Lower Secondary Stage 9
IMPORTANT

Important Questions on Comparing Distributions

EASY
IMPORTANT
Cambridge Lower Secondary Maths Stage 9: Student's Book>Handling Data and Measures>Interpreting and Comparing Data>Comparing Distributions> Q 1

Talulah is investigating this conjecture.

Girls buy more magazines in a month than boys on average.

She finds that the mean number of magazines bought in one month by a sample of boys is 4.2.

She draws a graph to show her results for a sample of girls.

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By finding a suitable average for the data from the girls, make a conclusion relating to Talulah's conjecture.

EASY
IMPORTANT
Cambridge Lower Secondary Maths Stage 9: Student's Book>Handling Data and Measures>Interpreting and Comparing Data>Comparing Distributions> Q 2

Sven is investigating changes in the population of Sweden between 1965 and 2016. The frequency diagrams show the ages of people living in Sweden in these two years.

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Sven concludes that the number of people aged 60 and over in Sweden has doubled between 1965 and 2016. Comment on Sven's conclusion.

MEDIUM
IMPORTANT
Cambridge Lower Secondary Maths Stage 9: Student's Book>Handling Data and Measures>Interpreting and Comparing Data>Comparing Distributions> Q 3

The frequency diagram shows the temperatures in two cities during June and July.

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Serena wants to visit one of the cities during June or July next year. She wants to choose the city where the temperature is fairly predictable. She doesn't like it too hot or too cold. Which city would you suggest Serena visit? Explain your answer.