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Primary 6 · Average · Question type 5.5

P6 Average: Finding an Average from a Graph

Count only the graph readings named in the question before calculating the average.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Average chapter6 question types · see the chapter

The lesson · 2 minutes 23 seconds

How do you find an average from a graph in P6?

Watch: a rainfall graph of 7 months, and a question that asks for 5 of them

Another worked example

A worked example

The line graph shows the height of a bean shoot at the end of each month from February to May. The y-axis has no numbers: each small square on the axis stands for 5 cm, as the key shows. The shoot stood 2, 3 and 8 small squares tall in February, March and May. Its average height over the four months was 25 cm. What was the shoot's height at the end of April?

02468Height of the shoot (squares)MonthFebMarAprMay?123402468Height (squares)MonthFebMarAprMay?1234

The working · Five lines

The step-by-step working

Written out in full, the way it should appear on paper.

02468Height of the shoot (squares)MonthFebMarAprMay?123402468Height (squares)MonthFebMarAprMay?1234
  1. total for 4 months = 25 × 4 = 100
  2. one square = 5 cm, so the total is 100 ÷ 5 = 20 squares
  3. squares seen = 2 + 3 + 8 = 13
  4. April = 20 - 13 = 7 squares
  5. April's height = 7 × 5 = 35 cm

The answer is 35 cm.

Practise · Modelled on top school exam questions

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Find the average from the data

Decide what each piece of data represents before dividing.

The bar graph shows the number of pets kept by each household in a block of flats. The bar for 2 pets has not been drawn. A quarter of the households in the block keep 2 pets. What is the average number of pets kept by each household?

010203040Number of householdsNumber of pets kept012320?010203040Number of householdsNumber of pets kept012320?
pets

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010203040Number of householdsNumber of pets kept012320?010203040Number of householdsNumber of pets kept012320?
  1. households drawn on the graph = 10 + 35 + 15 = 60
  2. the drawn households are 3 of the 4 equal parts, so 1 part = 60 ÷ 3 = 20
  3. households in the block = 60 + 20 = 80
  4. pets in the block = 10 × 0 + 35 × 1 + 20 × 2 + 15 × 3 = 120
  5. average = 120 ÷ 80 = 1.5 pets

Ans: 1.5 pets

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Mixed practice combines three of the chapter's ideas in one question. Mixed Average Questions →

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