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Handling Data (Easy)
Can you spot the question about swimming?

Handling Data (Easy)

Handling data means working with numbers to spot patterns and make sense of information. It is an important skill in everyday life and in 11 Plus Maths.

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Fascinating Fact:

The average person takes about 7000 steps a day, but averages don’t show that some people take ten and some take ten thousand.

In 11 Plus Maths, pupils learn how to collect, organise, and interpret information through graphs, charts, and averages. These skills help in solving problems and making logical conclusions.

  • Mean: The total of all numbers divided by how many numbers there are, often called the average.
  • Mode: The number that appears most often in a set of data.
  • Range: The difference between the largest and smallest values in a set of data.
What does handling data mean in maths?

Handling data means collecting and analysing information to understand it better. It can involve creating tables, graphs, and charts to show patterns clearly.

What are the three main types of averages?

The three main types of averages are mean, median, and mode. Each one gives a different way of describing typical values in a data set.

How do you find the range in a set of numbers?

To find the range, subtract the smallest number from the largest number. It shows how spread out the values in the data set are.

1 .
What is meant by the word 'data'?
Calculations
Interesting graphs and pictures
Entertaining facts and figures
Information
Data is information: the facts and details that have been collected about a particular subject or event. For example, the different types of pets that people keep. This information can be displayed in many different ways: graphs, pictures, tables, text and calculations. 'Data' is used in the plural: 'The data have been collected by the university'
2 .
What is meant by the phrase 'interpreting data'?
Trying to understand what the data means
Putting the data in order
Checking that the data is accurate
Displaying the information in the nicest way
When we look at data, we want to come to some useful conclusion: we can only come to a useful conclusion if we understand it correctly
3 .
Which one of the following is not a graphical means of showing data: bar charts, texts, graphs, pictograms?
Pictograms
Texts
Bar charts
Graphs
A 'text' is a written representation - not a graphical one
4 .
In a pie chart, what is the name given to the shapes that the circle is split up into for the purpose of representing the data?
Slice
Segment
Bit
Portion
Some people also use the word 'sector'
5 .
60 children were asked whether they cycled to school. 20 children said no. What fraction of a pie chart would be taken up by those that didn't cycle to school?
23
14
120
13
20 = 1?3 of 60
6 .
Last month, The 'TOYS' toy shop sold 210 teddy bears. Using a pictogram, if 1 teddy bear head represents 20 teddy bears, how many teddy bear heads would you use to show this information?
10
20
10.5
21
210 ÷ 20 = 10.5. You have to divide 210 by 20 because you want to find out how many 'lots' of 20 there are in 210: each 'lot' equals 20 teddy bears: this is the same as adding 'lots' of 20 to itself until you get to 210
7 .
Which of the following numbers is used to represent groups of tally marks?
10
5
15
20
Remember this fact: Here are the tally marks: l l l l, the fifth tally mark is written diagonally across the four shown here: slanting upwards from left to right
8 .
Which of the following is not an important piece of information when looking at a bar chart: the vertical scale used for the bars, the title of the bar chart, the width of the bars, the height of the bars?
The title of the bar chart
The vertical scale used for the bars
The height of the bars
The width of the bars
All the bars are of the same width in a bar chart - it is the vertical height that is of importance
9 .
In a class of 28 pupils, 7 pupils said that they could not swim and the rest said that they could. How would this information be shown on a pie chart?
34 would be used by the swimmers; 14 would be used by the non swimmers
284 would be used by the swimmers; 74 would be used by the non swimmers
14 would be used by the swimmers; 34 would be used by the non swimmers
74 would be used by the swimmers; 284 would be used by the non swimmers
7 is a quarter of 28, so 1?4 would be used by the non swimmers. The remaining three-quarters would be used by the swimmers
10 .
Using a bar chart, Peter carefully recorded the number of different sightings of expensive cars in his town between 4 pm and 7 pm; however, there was no bar above the label for Ferrari cars. Why?
There are no Ferrari cars in his town
He had made a mistake in recording the cars
He hadn't observed any Ferrari cars during that time period
He didn't really understand what he was doing
If 'Peter carefully recorded' the data, then he simply didn't observe any Ferrari cars during that time period. You can't say anything else without further information
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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