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Maths Quiz - Level 3-4 Data Handling - Lists and Frequency Tables (Questions)

Learn to list data and build frequency tables in KS3 Maths. Tally results, calculate totals, and spot the mode, median and range to summarise sets clearly.

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(quiz starts below)

Fascinating Fact:

The modal value, or mode, can be found quickly from a frequency table by finding the data value with the highest frequency.

In KS3 Maths, lists and frequency tables help you organise results so patterns are easy to see. You’ll record tallies, complete totals, and read off key measures to compare groups fairly.

Key Terms

Frequency: How many times a value appears in the data set.
Modal value (mode): The value that occurs most often in the data.
Frequency table: A table listing each value (or group) alongside its frequency.

Frequently Asked Questions (Click to see answers)

How do I make a frequency table at KS3?

List each data value or group in a table, add a tally column as you count, then total the tallies to fill the frequency column.

How do I find the mode from a frequency table?

Look for the row with the greatest frequency. The corresponding data value is the modal value (mode).

How do I find the median and range from a frequency table?

Use cumulative totals to locate the middle value for the median. The range equals largest value minus smallest value in the data.

Try These Related Quizzes

1.

In a table recording responses to a questionnaire, each question should be followed by .......

[ ]	the names of all people taking part in the survey
[ ]	a space for the frequency of each possible answer
[ ]	space for working out frequencies
[ ]	separate spaces for male and female responses

2.

A football league secretary keeps a table of matches won, lost or drawn. How should he list the teams?

[ ]	In alphabetical order
[ ]	In order of last season's results
[ ]	By colour of team strip
[ ]	In numerical order

3.

The secretary puts the results on to a computer spreadsheet to .......

[ ]	improve team performance
[ ]	make the table look better
[ ]	make it easier to update the league table
[ ]	get the results from teams more quickly

4.

W = games won, L = lost, D = drawn. Which calculation checks the number of games played by a team so far?

[ ]	W + L - D
[ ]	D - (W + L)
[ ]	W + L + D
[ ]	W - L + D

5.

Which calculation checks the total number of matches played in the league so far?

[ ]	Add up all the W, L and D values
[ ]	Add up all the W and L values and divide by 2
[ ]	Add the total of the W values to half the total of the D values
[ ]	Add the total of the W values to the total of the D values

6.

2 points for a win, 1 point for a draw, nothing for a loss. Which calculation gives a team's points total so far?

[ ]	W + L + D
[ ]	2W + D
[ ]	2(W + L)
[ ]	2W + L

7.

In a survey of families, 3 have no children, 5 have 1, 7 have 2, 3 have 3, and 2 have 4. How many children are included in the survey?

[ ]	10
[ ]	24
[ ]	36
[ ]	39

8.

What is the modal family size in the families survey?

[ ]	No children
[ ]	1 child
[ ]	2 children
[ ]	3 children

9.

In a class of 25 children, 3 boys and 2 girls are left-handed, and 10 boys are right-handed. How many girls are right-handed?

[ ]	8
[ ]	10
[ ]	12
[ ]	15

10.

If the frequencies are given as percentages, what percentage of the class are left-handed?

[ ]	5%
[ ]	10%
[ ]	15%
[ ]	20%

You can find more about this topic by visiting BBC Bitesize - Relative frequency

Maths Quiz - Level 3-4 Data Handling - Lists and Frequency Tables (Answers)

1.

In a table recording responses to a questionnaire, each question should be followed by .......

[ ]	the names of all people taking part in the survey
[x]	a space for the frequency of each possible answer
[ ]	space for working out frequencies
[ ]	separate spaces for male and female responses

You can create a tally in the space beside each answer

2.

A football league secretary keeps a table of matches won, lost or drawn. How should he list the teams?

[x]	In alphabetical order
[ ]	In order of last season's results
[ ]	By colour of team strip
[ ]	In numerical order

Team names are qualitative data so the most sensible order is alphabetical

3.

The secretary puts the results on to a computer spreadsheet to .......

[ ]	improve team performance
[ ]	make the table look better
[x]	make it easier to update the league table
[ ]	get the results from teams more quickly

Spreadsheets are excellent tools for analysing continuously changing information

4.

W = games won, L = lost, D = drawn. Which calculation checks the number of games played by a team so far?

[ ]	W + L - D
[ ]	D - (W + L)
[x]	W + L + D
[ ]	W - L + D

Each of the team's games will be marked in one of the categories so add them all up to find the total number of games

5.

Which calculation checks the total number of matches played in the league so far?

[ ]	Add up all the W, L and D values
[ ]	Add up all the W and L values and divide by 2
[x]	Add the total of the W values to half the total of the D values
[ ]	Add the total of the W values to the total of the D values

A drawn match will be recorded twice but all others are either won or lost

6.

2 points for a win, 1 point for a draw, nothing for a loss. Which calculation gives a team's points total so far?

[ ]	W + L + D
[x]	2W + D
[ ]	2(W + L)
[ ]	2W + L

Remember, anything times zero is still zero

7.

In a survey of families, 3 have no children, 5 have 1, 7 have 2, 3 have 3, and 2 have 4. How many children are included in the survey?

[ ]	10
[ ]	24
[x]	36
[ ]	39

The first three families contribute no children to the total

8.

What is the modal family size in the families survey?

[ ]	No children
[ ]	1 child
[x]	2 children
[ ]	3 children

Modal category is another way of describing the mode or most common value

9.

In a class of 25 children, 3 boys and 2 girls are left-handed, and 10 boys are right-handed. How many girls are right-handed?

[ ]	8
[x]	10
[ ]	12
[ ]	15

Filling in the missing number in a two-way table

10.

If the frequencies are given as percentages, what percentage of the class are left-handed?

[ ]	5%
[ ]	10%
[ ]	15%
[x]	20%

5 out of 25 is the same as 20 out of 100 = 20%