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Maths Quiz - Level 3-4 Data Handling - Collecting and Recording Data (Questions)

Good data starts with smart collection. Learn KS3 methods: surveys, experiments, tally charts and tables, plus the key difference between a census and a sample.

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(quiz starts below)

Fascinating Fact:

If you collect data from every member of a group, it is called a census, but if you use only part of the group, it is called a sample.

In KS3 Maths, you learn how to plan fair surveys, choose a suitable sample, and record results clearly. Common tools include tally charts, frequency tables, and questionnaires designed to avoid bias. Good recording makes patterns easy to spot and conclusions more reliable.

Key Terms

Census: Data collected from every member of the population being studied.
Sample: A smaller group taken from the population to represent the whole.
Tally chart / Frequency table: A simple table using tally marks and totals to record how often each result occurs.

Frequently Asked Questions (Click to see answers)

What is the difference between a census and a sample?

A census collects data from the whole population. A sample uses a smaller, representative group, making data collection quicker and cheaper but with some sampling error.

How do you record data using a tally chart?

List each category, add one tally mark per result (grouped in fives), then total the tallies in a frequency column for a clear, accurate count.

What makes a survey question unbiased?

Use clear, neutral wording, offer all reasonable options, allow “other” or “prefer not to say”, and avoid hints that push answers in one direction.

Try These Related Quizzes

1.

When carrying out a survey to gather several pieces of information about a subject, you can design a .......

[ ]	qualification
[ ]	questionnaire
[ ]	query
[ ]	quintuplet

2.

To be useful, a questionnaire should be given to a suitable number of people, called the .......

[ ]	assortment
[ ]	average
[ ]	sample
[ ]	share

3.

Which question would not be asked in a questionnaire about how secondary schoolchildren travel to school?

[ ]	Do you use public transport? Y or N
[ ]	How far do you have to travel to school?
[ ]	Is it sensible to wear a bike helmet?
[ ]	How do you travel to school - car, bus, walk or cycle?

4.

Age is often a useful data item for any survey. Which of these questions would be the best to use in the school travel questionnaire?

[ ]	What is your date of birth?
[ ]	Tick your age group: 0-10, 11-16, 17-21, over 21
[ ]	Where were you born?
[ ]	Circle your Year Group: 7, 8, 9, 10, 11

5.

The numbers for each type of transport are recorded on a tally chart. Tally strokes are written in groups of .......

[ ]	3
[ ]	4
[ ]	5
[ ]	6

6.

When the tally strokes are counted, the totals for each category are recorded in a column headed .......

[ ]	frequency
[ ]	number
[ ]	total
[ ]	type

7.

Which of these questions would be most useful in the school transport survey?

[ ]	Do you have a driving licence?
[ ]	Are you a boy or a girl?
[ ]	How tall are you?
[ ]	Can you ride a horse?

8.

In sampling a school of 1,000 pupils, who would you ask to answer your questionnaire?

[ ]	Year 10 pupils
[ ]	20 pupils from each Year Group
[ ]	The first 100 people entering the school gate
[ ]	All pupils

9.

50% of pupils are girls. In a sample of 10% of pupils, how many girls will you ask to fill in the questionnaire?

[ ]	30
[ ]	40
[ ]	50
[ ]	60

10.

What word is used to describe the most common answer to a question in a survey?

[ ]	Mean
[ ]	Median
[ ]	Mode
[ ]	Range

You can find more about this topic by visiting BBC Bitesize - Collecting and recording data

Maths Quiz - Level 3-4 Data Handling - Collecting and Recording Data (Answers)

1.

When carrying out a survey to gather several pieces of information about a subject, you can design a .......

[ ]	qualification
[x]	questionnaire
[ ]	query
[ ]	quintuplet

A questionnaire is a set of questions made specifically to gather data

2.

To be useful, a questionnaire should be given to a suitable number of people, called the .......

[ ]	assortment
[ ]	average
[x]	sample
[ ]	share

Choosing the size of your sample is an important part of the survey preparation

3.

Which question would not be asked in a questionnaire about how secondary schoolchildren travel to school?

[ ]	Do you use public transport? Y or N
[ ]	How far do you have to travel to school?
[x]	Is it sensible to wear a bike helmet?
[ ]	How do you travel to school - car, bus, walk or cycle?

Questions should be relevant and easy to understand as well as easy to answer

4.

Age is often a useful data item for any survey. Which of these questions would be the best to use in the school travel questionnaire?

[ ]	What is your date of birth?
[ ]	Tick your age group: 0-10, 11-16, 17-21, over 21
[ ]	Where were you born?
[x]	Circle your Year Group: 7, 8, 9, 10, 11

Date of birth would give you the same information but you'd have to work out the ages. Year groups are a much easier piece of data to use

5.

The numbers for each type of transport are recorded on a tally chart. Tally strokes are written in groups of .......

[ ]	3
[ ]	4
[x]	5
[ ]	6

Five bar gates make the tally marks much easier to count

6.

When the tally strokes are counted, the totals for each category are recorded in a column headed .......

[x]	frequency
[ ]	number
[ ]	total
[ ]	type

It's a good idea to get used to using this word

7.

Which of these questions would be most useful in the school transport survey?

[ ]	Do you have a driving licence?
[x]	Are you a boy or a girl?
[ ]	How tall are you?
[ ]	Can you ride a horse?

Keep questions relevant. It could be useful to compare boys' and girls' travel arrangements

8.

In sampling a school of 1,000 pupils, who would you ask to answer your questionnaire?

[ ]	Year 10 pupils
[x]	20 pupils from each Year Group
[ ]	The first 100 people entering the school gate
[ ]	All pupils

The larger the sample, the better the data. However, 20% is a good proportion of pupils - and much less work!

9.

50% of pupils are girls. In a sample of 10% of pupils, how many girls will you ask to fill in the questionnaire?

[ ]	30
[ ]	40
[x]	50
[ ]	60

10% of 1,000 = 100 and half of them should be girls

10.

What word is used to describe the most common answer to a question in a survey?

[ ]	Mean
[ ]	Median
[x]	Mode
[ ]	Range

MOst common = MOde