Lemmara logoLemmaraWorked solution

4MA1/1H Jun 2018, Question 1: Estimating the Mean for Grouped Data

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

From a grouped frequency table of weights in kg for 40 parcels, identify the modal class and calculate an estimated mean weight.

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

Part (a) · 1 mark

State which weight interval has the highest frequency.

  1. 1The class with the highest frequency is 0 < p ≤ 1, which has a frequency of 19.

Answer0 < p ≤ 1

Part (b) · 4 marks

Use the table's class midpoints and frequencies to estimate the mean parcel weight in kg.

  1. 1Use class midpoints: 0.5, 1.5, 2.5, 3.5, 4.5
  2. 2Midpoint × frequency: 9.5, 18, 12.5, 7, 9
  3. 3Total = 9.5 + 18 + 12.5 + 7 + 9 = 56
  4. 4Mean = 56 ÷ 40 = 1.4

Answer1.4

Stuck on a step? Read the free lesson: Estimating the Mean for Grouped Data

Practise more estimating the mean for grouped data 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 estimating the mean for grouped data

Also searched as: 4MA1 1H June 2018 · 4MA1/1H · 4ma1 jun18 1h · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.