Lemmara logoLemmaraWorked solution

0580/33 Oct/Nov 2023, Question 5: Mean, Median, Mode and Range

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 12 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Zena records daily letter counts, posts parcels, converts currency, finds a percentage increase, and works with a cuboid parcel net and volume.

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

Part (ai) · 1 mark

From the 12 daily letter counts, state the most frequent value.

  1. 17 appears three times, more than any other value: mode = 7

Answer7

Part (aii) · 2 marks

Find the middle value of the 12 ordered letter counts.

  1. 1In order: 0, 1, 1, 2, 3, 3, 5, 6, 7, 7, 7, 8
  2. 2The middle values (6th and 7th) are 3 and 5
  3. 3Median = (3 + 5) ÷ 2 = 4

Answer4

Part (b) · 3 marks

Using the lightest 4.6 kg, heaviest 6.2 kg and mean 5.01 kg of the other four, find the mean of all 6 parcels.

  1. 1Total of the other 4 = 4 × 5.01 = 20.04 kg
  2. 2Total of all 6 = 20.04 + 4.6 + 6.2 = 30.84 kg
  3. 3Mean = 30.84 ÷ 6 = 5.14 kg

Answer5.14

Part (c) · 1 mark

Convert 105 euros to dollars using $1 = 0.84 euros.

  1. 1105 ÷ 0.84 = $125

Answer125

Part (d) · 2 marks

Find the percentage increase from $22.68 to $44.

  1. 1Increase = 44 − 22.68 = 21.32
  2. 221.32/22.68 × 100 = 94.00…%
  3. 3≈ 94%

Answer94 or 94.00…

Part (ei) · 2 marks

On the 1 cm² grid, complete the net of the 6 cm by 2 cm by 3 cm cuboid, two faces already drawn.

  1. 1The faces are two 3 × 6, two 2 × 6 and two 3 × 2 rectangles
  2. 2Below the 3 × 6 face draw a 3 × 2 face, then another 3 × 6 face (same 3 cm column)
  3. 3Attach a 2 × 6 rectangle to the left and to the right of the given 3 × 6 face

AnswerFully correct net

Part (eii) · 1 mark

Calculate the volume of the 6 cm by 2 cm by 3 cm cuboid.

  1. 1Volume = 6 × 2 × 3 = 36 cm³

Answer36

Stuck on a step? Read the free lesson: Mean, Median, Mode and Range

Practise more mean, median, mode and range questions

Real 0580 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 mean, median, mode and range

Also searched as: 0580/33/O/N/23 · 0580_w23_qp_33 · 0580 w23 33 · question 5.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.