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2 Unit 2: Applied Mathematics A

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Question 106

The CO2 _2\,2​ emissions, x x\,x g/km, of 250 cars are summarised in the table below.

CO2 _2\,2​ emission (g/km)Frequency
100≤x<140100 \le x < 140100≤x<14030
140≤x<180140 \le x < 180140≤x<18070
180≤x<220180 \le x < 220180≤x<22090
220≤x<260220 \le x < 260220≤x<26045
260≤x<300260 \le x < 300260≤x<30015

For this question, a value is defined to be an outlier if it is greater than Q3+1.5(Q3−Q1)Q_3 + 1.5(Q_3 - Q_1)Q3​+1.5(Q3​−Q1​).

a.

Use linear interpolation to estimate Q1 Q_1\,Q1​ and Q3Q_3Q3​.

[3]
b.

Hence estimate the interquartile range, and determine whether a car with a CO2 _2\,2​ emission of 320 g/km would be classed as an outlier.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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