Initial Diagnostic Audit - Unit E2: Data Presentation

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section E2.1 - Pie Charts

You may use a calculator for this section
1. A survey of workers in a city firm asked how they travelled to work.
The results are given in the table.

Mode of TravelNumber of people
Bus
12
Train
14
Car
  9
Train and Bus
  5
Train and Walk
16
Bicycle
  4

If you represented this data on a pie chart, what size angle would correspond to 'Train'? °

2. A pie chart is used to represent the sales of 3 products, A, B and C.
The angles of the sectors representing A, B and C are 90°, 120° and 150° respectively.

Given that the total sales of all three products is 480 kg, calculate the amount, in kilograms, of product C that is sold. kg

3. The diagram shows how a council tackles the problem of what to do with domestic waste.

(a) Write down the fraction of waste which is recycled.  
  

(b)  
2
 of the total waste is burned.
5
      Calculate the angle of the sector which represents the waste burned. °

(c) Calculate the percentage of the total waste which is used for landfill. %

Section E2.2 - Line Graphs

The line graph below shows the average monthly temperatures recorded at a meteorological station in a certain year.
4. What was the highest average monthly temperature during the year? °C
5. Which was the coolest month in the year?
6. In which month was the average temperature 28.4°C?
7. In which months were the average temperatures below 27°C?

January
February
March
April
May
June
July
August
September
October
November
December

8. What was the difference in the average monthly temperature for the months of April and December? °C
Section E2.3 - Stem and Leaf Plots

Use the stem and leaf plot to answer these questions about scores in a History test.

History Test Scores
Stem
Leaf
6
1   1   4   6   7   8
7
2   3   5   7   9
8
1   3   5   6   6   7   7   8   9
9
0   0   3   4   6   8   9   9
10
0   0
9. What is the highest score?
10. How many students took the test?
11. How many students scored 90?
12. What is the lowest score?
13. Find the difference between the highest and the lowest scores.
Section E2.4 - Frequency Graphs: Histograms

The histogram shows the heights of pupils in a class.

14. How many pupils are in the class?
15. How many pupils are in the range 130 cm - 150 cm?

16.		 (a) How many are taller than 150 cm?

(b) What percentage of the total number of students is this? %

17.
2
 of the class are shorter than what height? cm
7
Section E2.5 - Histograms with Unequal Class Intervals

You may use a calculator for this section

The histogram displays the energy consumption for a representative sample of households in a city in 1993.

18. Find the number of households in the group:

(a) 80 ≤ x < 90

(b) 70 ≤ x < 80

(c) 40 ≤ x < 70

19. What is the total number of households?
20. Calculate the percentage of households whose energy consumption is at least 80 millions of BTU (British thermal units), giving your answer correct to the nearest whole number. %

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Produced by Russell Geach for CIMT - February 2013