Lemmara logoLemmaraWorked solution

4MA1/1HR Jan 2019, Question 14: Drawing Cumulative Frequency Diagrams

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Use a cumulative frequency graph of 120 apartment values in 2015 and a table of 2018 values to estimate counts, draw a graph, and compare medians.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Read the 2015 cumulative frequency curve at 80 thousand euros to estimate how many apartments are at or below that value.

  1. 1Read cumulative frequency at 80 thousand euros on the 2015 graph
  2. 2Value is approximately 97

Answer97

Part (b) · 2 marks

Plot the 2018 cumulative frequencies against the upper class boundaries on the grid to draw a cumulative frequency diagram.

  1. 1Plot points (40,15), (60,44), (80,85), (100,102), (120,120)
  2. 2Join with straight lines or smooth curve

AnswerA cumulative frequency graph through (20, 0), (40, 15), (60, 44), (80, 85), (100, 102), (120, 120)

Part (c) · 2 marks

Estimate both medians from the 2015 curve and 2018 graph, then find how much the median value increased.

  1. 1Find median in 2015: go to cumulative frequency 60, read value ≈ 55
  2. 2Find median in 2018: go to cumulative frequency 60, read value ≈ 69
  3. 3Increase = 69 − 55 = 14

Answer14

Stuck on a step? Read the free lesson: Drawing Cumulative Frequency Diagrams

Practise more drawing cumulative frequency diagrams questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on drawing cumulative frequency diagrams

Also searched as: 4MA1 1HR January 2019 · 4MA1/1HR · 4ma1 jan19 1hr · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.