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2 Unit 2: Applied Mathematics A

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Question 25

The CO2 _2\,2​ emissions, x x\,x g/km, of 200 cars are summarised in the table below, where p p\,p and q q\,q are positive integers.

CO2 _2\,2​ emission (g/km)Frequency
100≤x<140100 \le x < 140100≤x<14024
140≤x<180140 \le x < 180140≤x<18060
180≤x<220180 \le x < 220180≤x<220ppp
220≤x<260220 \le x < 260220≤x<260qqq
260≤x<300260 \le x < 300260≤x<30016

Using the class midpoints, the estimated mean CO2 _2\,2​ emission is exactly 190 g/km.

a.

Find the value of p p\,p and the value of qqq.

[4]
b.

Use linear interpolation to estimate the median CO2 _2\,2​ emission.

[3]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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