Grade 10 Maths · Statistics · Paper 2

Measures of Central Tendency Grade 10

Real Measures of Central Tendency past paper questions and answers from 2024 to 2025, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.

past paper questions: 31 past paper questions
skills: 6 skills
videos: 6 videos

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Question 1.1 · May/June 2025 · Paper 2 · National (DBE) · 2 marks

An insurance broker signed contracts with 15 people. The monthly premium (in rands) payable on each contract is given below.

134, 215, 325, 326, 362, 429, 515, 531, 598, 610, 624, 728, 923, 1034, 1200

1.1 Calculate the mean of the data.(2)

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Measures of Central Tendency skills

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More Measures of Central Tendency Grade 10 questions and answers

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4. Question 5.2.1 · September 2024 · Provincial · 2 marks
The following Life Sciences marks, for a test out of 50, were recorded from 15 grade 10 learners at a certain school.
5.2 Determine:
5.2.1 The mean of the data.(2)
Show the memo (2 ticks)Memo
1. ✓
  $\frac{387}{15}$ $Mean = \frac{387}{15}$
  1 mark · Calculate the mean
2. ✓
  Answer $= 25, 8$
  1 mark · Calculate the mean
5. Question 2.3 · November 2024 · Paper 2 · Provincial · 4 marks
The histogram below shows the distribution of examination scores for learners in Introductory stats.
2.3 Estimate the mean of this data. Show all calculations.(4)
Show the memo (4 ticks)Memo
1. ✓
  Add the frequencies $n = 12 + 18 + 55 + 57 + 43 + 11 + 4 = 200$
  1 mark · Estimate the mean of grouped data
2. ✓
  Sum of midpoint × frequencyMidpoints $35; 45; 55; 65; 75; 85; 95$ | $\sum f \cdot x = 420 + 810 + 3025 + 3705 + 3225 + 935 + 380 = 12500$
  1 mark · Estimate the mean of grouped data
3. ✓
  Substitution $\overset{x}{ˉ} = \frac{\sum f \cdot x}{n} = \frac{12 500}{200}$
  1 mark · Estimate the mean of grouped data
4. ✓
  Answer $\overset{x}{ˉ} = 62, 5$
  1 mark · Estimate the mean of grouped data
6. Question 1.3 · November 2024 · Paper 2 · Provincial · 2 marks
After utilising GeoGebra to teach geometry, the 14 participants marks out of 100 are displayed in the table below. $Diagram for this question$
1.3 Determine the median of the data.(2)
Show the memo (2 ticks)Memo
1. ✓
  Dividing a sum by 2Median $= \frac{54 + 55}{2}$
  1 mark · Find the median
2. ✓
  AnswerMedian $= 54, 5$
  1 mark · Find the median
7. Question 2.3 · November 2024 · Paper 2 · Provincial · 3 marks
The weight of the boxers who underwent fitness and health checks is shown in the frequency table below. $Diagram for this question$
2.3 Estimate the mean for the data.(3)
Show the memo (3 ticks)Memo
1. ✓
  $f \times x_{i}$ $\overset{x}{ˉ} = \frac{1 \times 45 + 3 \times 65 + 9 \times 85 + 6 \times 105 + 3 \times 125 + 1 \times 145}{23}$
  1 mark · Estimate the mean of grouped data
2. ✓
  2 155 $= \frac{2 155}{23}$
  1 mark · Estimate the mean of grouped data
3. ✓
  Answer $\overset{x}{ˉ} = 93, 70$
  1 mark · Estimate the mean of grouped data
8. Question 1.1 · November 2024 · Paper 2 · Provincial · 2 marks
The traffic department set up a roadblock on the N12 between Potchefstroom and Klerksdorp. During the first hour, they stopped 11 minibus taxis.
The following dataset is a summary of the number of passengers per minibus taxi.

18, 26, 25, 18, 16, 12, 10, 8, 18, 17, 8
1.1 Calculate the mean number of passengers per taxi.(2)
Show the memo (2 ticks)Memo
1. ✓
  Sum of the dataMean $= \frac{176}{11}$
  1 mark · Calculate the mean
2. ✓
  Answer $= 16$
  1 mark · Calculate the mean
9. Question WE4 · Siyavula Grade 10 Mathematics, 10.2 Measures of central tendency, Worked example 4 · 2 marks
WE4 What is the median of ${10; 14; 86; 2; 68; 99; 1}$ ?(2)
Show the memo (2 ticks)Memo
1. ✓
  Sort the values $1; 2; 10; 14; 68; 86; 99$
  1 mark · Find the median
2. ✓
  MedianThere are $7$ values, an odd number, so the median is the value in the fourth position.
  Median $= 14$
  1 mark · Find the median
10. Question WE5 · Siyavula Grade 10 Mathematics, 10.2 Measures of central tendency, Worked example 5 · 2 marks
WE5 What is the median of ${11; 10; 14; 86; 2; 68; 99; 1}$ ?(2)
Show the memo (2 ticks)Memo
1. ✓
  Sort the values $1; 2; 10; 11; 14; 68; 86; 99$
  1 mark · Find the median
2. ✓
  MedianThere are $8$ values, an even number, so the median is halfway between the fourth and fifth values, $11$ and $14$ .
  Median $= \frac{11 + 14}{2} = 12, 5$
  1 mark · Find the median

Measures of Central Tendency Grade 10 videos

Short lessons from South African teachers first. Videos load only when you tap play, to save your data.

Grade 8 Data Handling: Mean, Median and ModeMaths Monkey

How to spot a misleading graph - Lea GaslowitzTED-Ed

5. Grade 10 Mathematics - Statistics - Estimated Means of Grouped DataJuniorTukkie at the University of Pretoria

Modal Class Interval and Median class Interval for Grouped Continuous Data - Full Lesson and ExampleRadford Mathematics

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