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Primary 6 · Average · Question type 5.3

P6 Average: Finding the New Average When a Value Joins

When a value is added to a set, calculate the old and new totals before finding the new 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 20 seconds

How do you find a new average when a value is added in P6?

Watch: a 5 kg parcel put on a trolley of 4 parcels

Another worked example

A worked example

A veterinary clinic looks after 2 cats with an average age of 4 years and three times as many dogs with an average age of 5 years. What is the average age of all 8 animals?

The working · Four lines

The step-by-step working

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

  1. number of dogs = 3 × 2 = 6
  2. total age of cats = 4 × 2 = 8
  3. total age of dogs = 5 × 6 = 30
  4. average of all 8 = (8 + 30) ÷ 8 = 4.75 years

The answer is 4.75 years.

Practise · Modelled on top school exam questions

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Find the new average after a player leaves

Keep track of the total and the number of players.

The average height of 5 players in a basketball squad is 146 cm. The tallest player, who is 158 cm tall, leaves the squad. What is the average height of the 4 players who are left?

cm

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  1. total of 5 players = 146 × 5 = 730
  2. new total = 730 - 158 = 572
  3. new average = 572 ÷ 4 = 143 cm

Ans: 143 cm

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Next, find how many data values were in the original set. Average with the Number of Values Unknown →

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