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A red, 3-dimensional bar chart.
Graphs are a useful tool when handling data.

Handling Data 2 (Easy)

Handling data helps you make sense of information. In 11 Plus Maths, you’ll use averages and charts to find patterns and understand what numbers are really showing.

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Fascinating Fact:

The median is the middle number in a set, which means in a family of five siblings, the one stuck in the middle is officially the median child.

In 11 Plus Maths, pupils explore data to discover how information can be organised and compared. Knowing how to find the mean, median, and mode helps in solving everyday problems.

  • Median: The middle number in a group of numbers when they are arranged in order.
  • Graph: A visual way of showing information so it is easy to understand and compare.
  • Data: A collection of facts or numbers that can be studied to find patterns or results.
What does median mean in maths?

The median is the middle value in a group of numbers. For example, in 3, 5, and 7, the median is 5 because it is in the middle.

How do you find the mean of a group of numbers?

Add all the numbers together and then divide the total by how many numbers there are. This gives you the mean, or average.

What is the difference between mean and median?

The mean is the average of all the numbers, while the median is the middle value when the numbers are in order.

1 .
Which one of the following would be the best way to record or gather information?
A pie chart
A tally
A bar chart
A pictogram
The important words here are 'record' and 'gather'. They mean getting the information in the first place. Tallies are good for this. The other options would be ways you could represent the data - after you have gathered it!
2 .
What is meant by the phrase ‘data handling’?
Conducting a survey or poll
Collecting data
Organising data to make sense of it
Making graphs or charts
Data handling is an important part of maths and science. It’s used to analyse information and to look for patterns. Of course, to make sense of data it’s best to organise it first
3 .
120 people were asked which football team they support. 20 said they supported no team. What fraction of a pie chart would be taken up by those that didn't support a team?
13
14
15
16
Simplify the fraction 20?120 by dividing the denominator (bottom number) and the numerator (top number) by the same number, in this case 20, to get 1?6
4 .
In a poll of 1,000 people, 750 said that they preferred dogs to cats. How would this information be shown on a pie chart?
14 would be used by the dog lovers; 34 would be used by the cat lovers
23 would be used by the dog lovers; 13 would be used by the cat lovers
34 would be used by the dog lovers; 14 would be used by the cat lovers
13 would be used by the dog lovers; 23 would be used by the cat lovers
750 is three-quarters of 1,000, so 3?4 would be used by the dog lovers. The remaining quarter would be used by the cat lovers
5 .
If you wanted to find out the number of vehicles which drive past your school every day, which of the following methods would be the best?
Conduct a survey asking how many cars people own
Watch for an hour and mark on a tally when a vehicle goes past
Count all the vehicles in the school car park
Draw a graph showing the different types of vehicle you have seen
Watching and recording the number of vehicles you see would be the best option. Of course, this would not give an accurate picture, as the number of vehicles will vary depending on the time of day. However, none of the other options will give you the information you need
6 .
What is the purpose of a bar chart?
To make comparing different values easier
To make information more interesting
To show information in an entertaining way
To show information in a visually striking way
When numbers are close in value, bar charts make it easier than pie charts to compare them. Imagine seeing 32%, 33% and 35% on both types of chart and you'll see what I mean
7 .
In a bar chart, do the bars go up vertically, or across horizontally?
Either
Across horizontally
Up vertically
Neither
You are probably more used to seeing bars going up vertically, but bars can (and do) go across horizontally in some bar charts
8 .
Which of the following would be the best title for a chart showing different people's favourite films?
Films
Most popular films
Best films
Best movies
'Films' doesn't tell us much about what's in the chart. 'Best films' and 'Best movies' are not what the chart is looking at - the best films might not be the most popular ones!
9 .
In a pictogram showing the number of pets children in a class have, 1 rabbit = 10 rabbits. If there are 2 12 rabbits on the pictogram, how many rabbits are owned by the class?
1 12
15
25
2 12
2 1?2 x 10 = 2.5 x 10 = 25
10 .
Which of the following is not a part of data handling?
Collecting information
Organising information
Representing information
Inside information
First collect your data (in a tally or survey for example), then organise it (in a table perhaps) before representing it in the best way (a graph or a chart maybe). Inside information is information you may have that has not been made public
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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