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Handling Data 3
Can you spot the question about swimming?

Handling Data 3

This Math quiz is called 'Handling Data 3' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is an enjoyable way to learn if you are in the 3rd, 4th or 5th grade - aged 8 to 11.

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When you read a newspaper or a magazine, you are often shown diagrams and graphs that show interesting facts, e.g. the different types of pets that people have. In order to understand this information, you often have to know how to make the information understandable.

1 .
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
2 .
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'
3 .
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 = 13 of 60
4 .
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
5 .
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'
6 .
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
7 .
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
8 .
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 14 would be used by the non swimmers. The remaining three-quarters would be used by the swimmers
9 .
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
10 .
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
Author:  Frank Evans

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