## Investigations Exercise

1. A survey was carried out on the numbers of four types of cars owned by families in a street.

 Type of car Toyota Subaru Honda Ford Number of cars owned 30 10 20 40

Show this information on the following graphs (label each one clearly):

(a) A bar graph
(b) A pie chart

2. Study the bar graph and answer the following questions:

(a) How many pupils travel to school on foot?
(b) Which is the most common method of transport for the pupils?
(c) What is the least common method of transport?
(d) What is the difference between the number of students travelling to school on bicycle and by bus?
(e) How many pupils are represented on the graph?

3. The favourite winter sports of a class of students are shown in the table:

 Rugby 9 Hockey 10 Netball 10 Soccer 7

Show this data on:

(a) A pie graph
(b) A column graph

4. The results from a survey of a class of 20 on the number of times they watch TV in a week:

8, 3, 4, 5, 2, 0, 1, 4, 2, 1, 6, 4, 5, 7, 4, 3, 4, 5, 3, 6

a. Complete the frequency table to show this information using a tally.

 Number of times watching TV Tally Frequency 0 1 1 1 11 2 2 3 4 5 6 7 8

b. Show this data on a fully labelled bar graph.
c. What is the most common number of times that people watched TV?

 5 . Use the histogram showing the age of workers in a company to answer the following questions: a. How many workers were between 35 and 45 years old? b. How many workers were there at the company altogether? c. In which age group were there the fewestworkers? d. How many workers were less than 35 years old? e. How many workers were more than 45 years old?

6. The heights of 20 students in a class are shown below:

145, 154, 168, 178, 144, 167, 184, 152, 178, 181, 162, 163, 158, 174, 163, 159, 149, 179, 162, 141

a. Complete the frequency table using a tally:

 Height Tally Number of students 140 − 150 1111 4 150 − 160 160 − 170 170 − 180 180 − 190

b. Show this data on a fully labelled histogram.
c. What is the most common height interval of the heights of the players?

7.

 Use the time series shown to answer the following questions: a. What was the sales figure for the second quarter of 1997? b. Which quarter and year produced the highestsales figure for Polar Cream Ltd? c. Which quarter and year produced the lowest sales figure for Polar Cream Ltd? d. Give a reason why sales are lowest in the third quarter of each year. e. Why do you think that sales peak in the first quarter of each year? f. Do you think the company is growing. Give a reason.

8. Figures for the total population of a country taken from census results between 1950 and 2000 are given below.

 Year of Census Population (millions) 1950 3.8 1960 4.1 1970 5.3 1980 6.6 1990 7,8 2000 8.9

a. Draw a time series graph for these figures Remember to use the horizontal axis for the Year of Census.
b. Comment on the trend these figures show and make a prediction for the country's population in 2100.