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Level 3-4 Data Handling - Lists and Frequency Tables
The modal family size in a family survey would be the most common family size. Remember 'MOdal = MOst'.

Level 3-4 Data Handling - Lists and Frequency Tables

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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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.

  • 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.
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.

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
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?
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
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)
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
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
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
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
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
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%
20%
5 out of 25 is the same as 20 out of 100 = 20%
You can find more about this topic by visiting BBC Bitesize - Relative frequency

Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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