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IBDP Maths AI SL Predicted Paper 2 sample

Questions

Question 1

A car dealership recorded sale prices of cars over one year. The histogram shows frequency density against price. It is known that 66 cars were sold in the price range £10,000\pounds 10,000 to £20,000\pounds 20,000.

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Part a
[2]

The frequency density for a class is defined as
frequency density=frequencyclass width. \text{frequency density}=\dfrac{\text{frequency}}{\text{class width}}.
Show that the frequency density for the £10,000\pounds 10,000£20,000\pounds 20,000 class is 0.00660.0066.

Part b
[1]

By reading the histogram, write down the frequency density for the £50,000\pounds 50,000£90,000\pounds 90,000 class.

Part c
[2]

Hence estimate the number of cars sold in the £50,000\pounds 50,000£90,000\pounds 90,000 class.

Part d
[5]

Using the axes and scale from the histogram, estimate the frequency in each class and the total number of cars sold. Show your working; you may present your results in a short table.

Part e
[4]

Using class midpoints together with your class frequencies from part (d), use your GDC to estimate the mean sale price (to the nearest £100\pounds 100).

Part f
[2]

Comment on the skewness of the distribution, giving a reason from the histogram.

[16]

Question 2

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