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Higher November 2018 Paper 1 Q15

EduqasHigherCurrent spec11 marksCumulative FrequencyHistograms

15. Sita is investigating the popularity of two social media websites, A and B.

She asked 60 technology students how much time they each spent using social media website A yesterday.
The table summarises the data she collected.

Time spent,
\(t\) (minutes)		\(t \leqslant 20\)\(t \leqslant 30\)\(t \leqslant 40\)\(t \leqslant 50\)\(t \leqslant 60\)\(t \leqslant 70\)\(t \leqslant 80\)
Cumulative frequency052545525860
(a) How many students spent more than 60 minutes using social media website A? [1]
(b) Draw a cumulative frequency diagram to represent Sita’s information. [3]
Blank grid titled Social Media Website A: Cumulative frequency from 0 to 70 against Time spent, t (minutes) from 0 to 90
(c) Use your diagram to find an estimate of the median time and the interquartile range of the times the students spent using social media website A. [3]
(d) Sita asked the same 60 technology students how much time they each spent using social media website B yesterday. She used her data to draw the histogram shown below.
Histogram titled Social Media Website B: frequency density against time spent t (minutes); bars 30–40 at 0·5, 40–50 at 1·7, 50–70 at 1·6, 70–100 at 0·2
(i) Calculate an estimate for the difference between the number of students who use social media website B for more than 60 minutes and those who use social media website A for more than 60 minutes. [3]
(ii) Sita uses her results to state which social media website is more popular.
Is her conclusion likely to be reliable?
Explain how you decide. [1]
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