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The diagram shows the number of new cars sold in a garage in one year - Junior Cycle Mathematics - Question 4 - 2015

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The diagram shows the number of new cars sold in a garage in one year. How many new cars were sold in the months April – June? In the months October – December, th... show full transcript

Worked Solution & Example Answer:The diagram shows the number of new cars sold in a garage in one year - Junior Cycle Mathematics - Question 4 - 2015

Step 1

How many new cars were sold in the months April – June?

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Answer

From the bar chart, the number of cars sold from April to June is represented by a height of 150 on the graph.

Step 2

How many new cars were sold in October – December?

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Answer

Given that the sales for October – December were exactly half of the sales in April – June:

Given sales in April – June is 150:

rac{150}{2} = 75

Thus, 75 new cars were sold in October – December.

Step 3

Draw the bar for October – December

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Answer

The bar representing October – December should reach the level corresponding to 75 on the vertical axis of the diagram.

Step 4

When were the most new cars sold? Put a tick (✓) in the correct box.

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Answer

The most new cars were sold in the period January – March, so a tick (✓) should be placed in that box.

Step 5

Calculate the total number of new cars sold in the year.

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Answer

Total cars sold in the year:

  • January – March: 300
  • April – June: 150
  • July – September: 200
  • October – December: 75

Thus, total is:

300+150+200+75=725300 + 150 + 200 + 75 = 725

Step 6

Calculate the average (mean) number of new cars sold per month in the year.

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Answer

To find the average number of cars sold per month,

We divide the total number of cars sold by the number of months (12):

rac{725}{12} \\ ≈ 60.4

So, the average number of cars sold per month is approximately 60.4.

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