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Math: Elementary School: Grades 3, 4 and 5 Quiz - Handling Data 2 (Questions)

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Handling data involves tables, charts and diagrams. You may have come across Carroll diagrams in your lessons which are used for grouping things in a yes/no fashion. Did you know these diagrams are named after Lewis Carroll - the author of Alice's Adventures in Wonderland?

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Data handling also involves ranges and averages. The range of data is the difference between the highest and lowest frequencies. There are three different types of average - mean, median and mode. Median is the middle frequency piece of data, mode is the one that appears most often and mean is worked out by adding all the frequencies together and dividing by the number of frequencies.

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What is the range in a set of data?

[ ]	The difference between the greatest and least
[ ]	The middle value
[ ]	The least value
[ ]	The greatest value

What is the range in this set of data? Blue 230, Red 150, Yellow 348, Green 4

[ ]	348 - 230
[ ]	230 - 150
[ ]	230 - 4
[ ]	348 - 4

What is the name of the most common frequency of data?

[ ]	Mean
[ ]	Range
[ ]	Mode
[ ]	Median

Which is the mode of this data: 2, 5, 7, 2 , 7, 2, 3?

[ ]	2
[ ]	3
[ ]	5
[ ]	7

What is the name of the chart that represents the data in the fractions of a circle?

[ ]	Cake chart
[ ]	Circus chart
[ ]	Bar chart
[ ]	Pie chart

What fraction of the pie chart will represent Bus using this data: Train 25, Bus 50, Cycle 15, Walk 10?

[ ]	¹⁄₂
[ ]	¹⁄₃
[ ]	¹⁄₁₀
[ ]	¹⁄₄

What is the median?

[ ]	The difference between the greatest and least frequency
[ ]	The middle frequency
[ ]	The most common frequency
[ ]	The highest frequency

Which is the median in this set of data: 2, 4, 4, 8, 10, 16?

[ ]	2
[ ]	4
[ ]	6
[ ]	8

How is the mean calculated?

[ ]	Add all the frequencies and divide by the number of frequencies
[ ]	Add all the frequencies together
[ ]	Add all the frequencies together and subtract the number of frequencies
[ ]	Add all the frequencies together and divide by 2

10.

What is the mean of this data: 11, 14, 17, 18, 20?

[ ]	16
[ ]	40
[ ]	75
[ ]	80

Math: Elementary School: Grades 3, 4 and 5 Quiz - Handling Data 2 (Answers)

What is the range in a set of data?

[x]	The difference between the greatest and least
[ ]	The middle value
[ ]	The least value
[ ]	The greatest value

If you find that 23 people have a pet dog and that only one person has a pet tortoise the range of your data is 1-23

What is the range in this set of data? Blue 230, Red 150, Yellow 348, Green 4

[ ]	348 - 230
[ ]	230 - 150
[ ]	230 - 4
[x]	348 - 4

The highest frequency is 348 for yellow, and the lowest is 4 for green

What is the name of the most common frequency of data?

[ ]	Mean
[ ]	Range
[x]	Mode
[ ]	Median

Mode is one method of finding an average of a set of numbers or data

Which is the mode of this data: 2, 5, 7, 2 , 7, 2, 3?

[x]	2
[ ]	3
[ ]	5
[ ]	7

Out of the seven numbers there are three 2s, two 7s, one 5 and one 3. 2 is the most common so therefore the mode

What is the name of the chart that represents the data in the fractions of a circle?

[ ]	Cake chart
[ ]	Circus chart
[ ]	Bar chart
[x]	Pie chart

Pie charts look a bit like pies that have been cut into slices

What fraction of the pie chart will represent Bus using this data: Train 25, Bus 50, Cycle 15, Walk 10?

[x]	¹⁄₂
[ ]	¹⁄₃
[ ]	¹⁄₁₀
[ ]	¹⁄₄

The total of all data is 100 so Bus is 50 - therefore half

What is the median?

[ ]	The difference between the greatest and least frequency
[x]	The middle frequency
[ ]	The most common frequency
[ ]	The highest frequency

Median is another method of finding an average of a set of numbers or data

Which is the median in this set of data: 2, 4, 4, 8, 10, 16?

[ ]	2
[ ]	4
[x]	6
[ ]	8

There are two frequencies in the middle, so we add them and divide by 2

How is the mean calculated?

[x]	Add all the frequencies and divide by the number of frequencies
[ ]	Add all the frequencies together
[ ]	Add all the frequencies together and subtract the number of frequencies
[ ]	Add all the frequencies together and divide by 2

Mean is the third method of finding an average of a set of numbers or data

10.

What is the mean of this data: 11, 14, 17, 18, 20?

[x]	16
[ ]	40
[ ]	75
[ ]	80

11 + 14 + 17 + 18 + 20 = 80
80 ÷ 5 = 16