Page 71 - Mathematics Coursebook

6.3 Using frequency tables

4 Some people were asked to choose their favourite sport out of football (F), rugby (R), basketball (B),
hockey (H) and tennis (T). The results are below.
RRBF, FFHF, RTTR, BFTT, RFRH, BRRT
a Draw a frequency table to show this information.
b What is the most popular sport?
c How many people were asked?
5 Mrs Gupta gave her class a spelling test. These are the students’ scores, marked out of 20.
12,19,7,18 15,2,6,20 8,12,10,17 16,12,5,11 13,11,4,9 18,8,16,13 14,19,9,18
a Copy and complete the grouped frequency table.
In this grouped frequency table
Score Tally Frequency tallies for the scores 1, 2, 3, 4 and 5
all go in the fi rst group. Tallies for
1–5
the scores 6, 7, 8, 9 and 10 all go in
6–10 the second group, and so on.

11–15
16–20 The class interval 16–20 includes
all the scores from 16 to 20
Total:
inclusive.

b How many students are there in Mrs Gupta's class?
c How many students had a score in the class interval 16–20?
d How many students got more than half the spellings correct?
Explain how you worked out your answer.
6 Jasmine has a spinner with the numbers 1 to 12. She spins the spinner
24 times and records the results. These are the results she gets. 12 1
11 2
2,1,12,10 2,6,4,8 7,6,3,12 5,11,8,4 9,8,3,6 9,9,7,1 10 3
a Draw a grouped frequency table to show this information. 9 4
Use the groups 1–3, 4–6, 7–9 and 10–12. 8 5
b Do you think this is a fair spinner? Explain your answer. 7 6

Summary

You should now know that: You should be able to:

+ There are two types of data: primary data and + Decide which data would be relevant to a question
secondary data. and collect and organise the data.
+ Primary data is data that you collect yourself. + Design and use a questionnaire for a
+ Secondary data is data that has already been simple survey.
collected by someone else. + Design and use a data-collection sheet for a
+ You can use a questionnaire or a data-collection simple survey.
sheet to collect data. + Construct and use frequency tables to gather
+ A frequency table is a type of data-collection discrete data, grouped, where appropriate, into

sheet. The first column is for the list of the items equal class intervals.
you are going to count, the second is for the tally + Record and explain your methods
marks and the third is for the frequency. and conclusions.

+ Communicate findings effectively.

70 6 Planning and collecting data