Grade 10 Maths · Statistics · Calculate the mean

Mean Grade 10

Find the average by adding all the values and dividing by how many there are (for example (4 + 6 + 8) ÷ 3 = 6).

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Grade 8 Data Handling: Mean, Median and ModeMaths Monkey

Statistics Grade 10: Mean, mode, medianKevinmathscience

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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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More past paper questions: calculate the mean

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3. 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
4. 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
5. Question 4.3 · March 2019 · Provincial · 4 marks
4.3 The mean of three numbers is 25. The second number is four less than twice the first. The third number is two more than four times the first. (Hint: Let the smallest number be $x$ ). Calculate the numerical value of the smallest number.(4)
Show the memo (3 ticks)Memo
1. ✓
  Define variablesFirst number: $x$
  Second number: $2 x - 4$
  Third number: $4 x + 2$
  1 mark · Set up an expression or equation
2. ✓
  Set up equation $\frac{x + ( 2 x - 4 ) + ( 4 x + 2 )}{3} = 25$
  $7 x - 2 = 75$
  2 marks · Calculate the mean
3. ✓
  Solve for x $7 x = 77$
  $x = 11$
  1 mark · Calculate the mean
6. Question b · Siyavula Grade 12 Mathematics, 9.1 Revision, Worked example 3 · 2 marks
Three Matric classes wrote a Mathematics test. The test is out of $40$ marks and each class has $21$ learners. The results of the test are shown in the table below: $Diagram for this question$
b Determine the mean and standard deviation for each class.(2)
Show the memo (2 ticks)Memo
1. ✓
  MeansGr. 12A: $\overset{x}{ˉ} = \frac{496}{21} = 23, 6$
  Gr. 12B: $\overset{x}{ˉ} = \frac{556}{21} = 26, 5$
  Gr. 12C: $\overset{x}{ˉ} = \frac{453}{21} = 21, 6$
  1 mark · Calculate the mean
2. ✓
  Standard deviations $σ = \frac{\sum ( x - x ˉ ) ^{2}}{n}$
  Gr. 12A: $σ = 12, 70$
  Gr. 12B: $σ = 10, 65$
  Gr. 12C: $σ = 10, 54$
  1 mark · Calculate and use standard deviation

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