Interactive online VCE practise Exam

FURTHER MATHEMATICS

Based on

written examination 2, Monday 4 November 2013
2013 FURMATH EXAM 2

Core


Question 1 (2 marks)

A development index is used as a measure of the standard of living in a country.

The bar chart below displays the development index for 153 countries in four categories: low, medium, high and very high.

n = 163
frequency

a. How many of these countries have a very high development index?

1 mark


b. What percentage of the 153 countries has either a low or medium development index?

Write your answer, correct to the nearest percentage.

1 mark


Question 2 (3 marks) n = 28 70 71 72 73 74 75 development index 76 77 78 79 a. Using the information in the dot plot, determine each of the following. 1 mark the mode the range b. Write down an appropriate calculation and use it to explain why the country with a development index of 70 is an outlier for this group of countries
2013 FURMATH EXAM 2


Question 2 (3 marks)

The development index for each country is a whole number between 0 and 100.

The dot plot below displays the values of the development index for each of the 28 countries that has a high development index.


A three median line will be used to model the increasing trend in the average pay rate shown in this time series.

The independent variable to be used is year.

a. Three medians will be used to draw the three median line.

  i. On the time series plot above, mark the location of each of the three medians with a cross (X).

2 mark
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2013 FURMATH EXAM 2


Question 4 (5 marks)

The time series plot below shows the average pay rate, in dollars per hour, for workers in a particular country for the years 1991 to 2005.

Average Pay Rate
(dollars per hour)


A three median line will be used to model the increasing trend in the average pay rate shown in this time series.

The independent variable to be used is year.

a. Three medians will be used to draw the three median line.

  i. On the time series plot above, mark the location of each of the three medians with a cross (X).

2 mark


results: