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

As you'll know by now, data handling is an important part of KS3 Maths. Once you've collected data then you have to analyse it. There are many ways to do this, such as graphs or diagrams. But lists and frequency tables are one of the simplest and they can help you to make a graph or diagram.

Lists and frequency tables are used to put collected data into some sort of order before it can be analysed. Football league tables are an excellent example of frequency tables. They record lots of different data - games won, drawn or lost, goals scored, goals conceded etc. You can then use this information to find out which team has the most points, which has won the most games, which has conceded the most goals... the list goes on. It's not just in football league tables that frequency lists are useful. They come in handy when analysing any type of data, from questionnaires to weather patterns.

This quiz deals with drawing up and reading information from data lists and frequency tables. Let's see how well you understand them.

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
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
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
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
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
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
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?
The first three families contribute no children to the total
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
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?
Filling in the missing number in a two-way table
If the frequencies are given as percentages, what percentage of the class are left-handed?
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

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