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Numeracy Foundation June 2023 Unit 1 Q5

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5. A survey was carried out in the U.S.A.
743 teenagers were interviewed.
They were asked what type of information they posted on social media.
The results were displayed on the internet, as shown below.

Bar chart: Posts on social media, percentage of American teenagers who say they have posted about: Accomplishments 49%, Family 44%, Emotions and feelings 34%, Dating life 22%, Personal problems 13%, Religious beliefs 11%, Political beliefs 9%, None of these 28%
(a) How many times bigger is the percentage of the teenagers who posted about their family than the percentage who posted about their religious beliefs? [1]
(b) What fraction of these teenagers posted about their emotions and feelings?
Give your answer in its simplest form. [1]
(c) Dewi looks at the type of information posted by these teenagers.
What is the modal type of information? [1]

The modal type of information is ……………

(d) What information would have been needed in the original data so that the following hypothesis could be tested? [1]
In the U.S.A., teenage girls post about family more often than teenage boys.
(e) How many of these 743 teenagers posted about their religious beliefs?
You must show all your working. [3]
(f) Lottie is confused by the data in the diagram.

She says,

This diagram can’t be right, as all the bars don’t add up to 100%.

The diagram is correct.
Explain why the bars do not add up to 100%. [1]

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