Each of \(50\) students chooses a favourite subject from mathematics, English, science and art. The bar chart shows the results for mathematics, English and...
Question 1 Report
Each of \(50\) students chooses a favourite subject from mathematics, English, science and art.
The bar chart shows the results for mathematics, English and science only.
(a) Work out the number of students who chose art. [2]
(b) Write down the modal subject. [1]
(c) Write down whether favourite subject is qualitative or quantitative data. [1]
(d) Write down the fraction of the students who chose mathematics, giving your answer in its simplest form. [1]
Answer Details
This tests using a known overall total to find a missing category, then reading the chart and classifying the data.
(a) The three bars shown are mathematics \(15\), English \(12\) and science \(13\). Since all \(50\) students chose one of the four subjects, the number choosing art is \(50 - (15 + 12 + 13)\) [M1]. The bracket gives \(15 + 12 + 13 = 40\), so \(50 - 40 = 10\) students chose art [A1].
(b) The modal subject is the one with the highest frequency. Comparing \(15\), \(12\), \(13\) and \(10\), the largest is \(15\), so the mode is mathematics [B1].
(c) Favourite subject is a category described in words, not a measurement or count of something, so it is qualitative data [B1].
(d) The fraction choosing mathematics is \(\frac{15}{50}\). Dividing numerator and denominator by \(5\) gives \(\frac{3}{10}\) [B1].
Part (b) must be answered after part (a), because art could in principle have been the largest group. Here it is not, since \(10 \lt 15\). The mode is the name of the subject, not the frequency \(15\).
Download The App On Google Playstore
Everything you need to excel in your exams
