Welcome to this, our second difficult quiz on handling data. If you played the first one, you’ll be familiar with four things associated with data handling: the range, the mean, the mode and the median. These four ideas are used to work out averages.
The range of a set of data is the difference between its highest and lowest values. The mean is worked out by adding all the values together, then dividing by the number of values. The mode is the value which appears most often. Finally, the median is the middle value of the data, if it is arranged from lowest to highest.
As you can see, there are several ways to work out the average value in a set of data. This means that, depending on the method you use, your results might be very different!
So, now we know all about averages, it’s time to put your knowledge to the test. Good luck!
1.
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A poll was taken, asking 8 people how many pets they had. Here are the results: 0, 7, 3, 1, 0, 2, 0, 1.
What is the range of the given data? |
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2.
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Sarah counted the number of vehicles which passed her school over the course of one hour. She did this every day for a week and got these results: 180, 164, 212, 197, 207, 222, 146.
What is the mean of the given data? |
|
[ ] |
1,328 |
[ ] |
197 |
[ ] |
189.7 |
[ ] |
Impossible to work out |
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3.
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Michael asked 10 of his friends how many times they had been to watch a live football match. Here are his results: 40, 27, 18, 36, 0, 7, 16, 0, 2, 12.
What is the mode of the given data? |
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[ ] |
14 |
[ ] |
15.8 |
[ ] |
12 |
[ ] |
0 |
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4.
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Jane wanted to know how old the men in her family were when they began shaving. She asked 9 of them and got these results: 15, 16, 17, 18, 16, 15, 17, 19, 20.
What is the median of the given data? |
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[ ] |
18 |
[ ] |
16 |
[ ] |
17 |
[ ] |
19 |
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5.
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Steven asked some of his classmates how many brothers or sisters they had. Here’s his results: 2, 3, 0, 0, 1, 0, 2, 0, 1, 3, 5, 0, 1, 2, 0.
How many of Steven’s classmates took part in the survey? |
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[ ] |
14 |
[ ] |
15 |
[ ] |
16 |
[ ] |
20 |
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6.
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Charlotte wanted to find out the average height of her friends. She collected these results: 143 cm, 139 cm, 145 cm, 149 cm, 144 cm.
The mean of these results was 144 cm. She then measured one more friend, Clare, and the mean rose to 145 cm. How tall was Clare? |
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[ ] |
150 cm |
[ ] |
148 cm |
[ ] |
151 cm |
[ ] |
145 cm |
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7.
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From the following set of data, which average is lowest: the mean, the median or the mode?
18, 21, 22, 19, 20, 21, 21. |
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[ ] |
The mean |
[ ] |
The median |
[ ] |
The mode |
[ ] |
They are all the same |
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8.
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From the following set of data, which average is highest: the mean, the median or the mode?
75, 48, 82, 65, 70, 68, 75. |
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[ ] |
The mean |
[ ] |
The median |
[ ] |
The mode |
[ ] |
They are all the same |
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9.
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Which of the following statements is correct? |
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[ ] |
The median is the value which appears most often |
[ ] |
The mode is the middle value if the data is arranged from smallest to largest |
[ ] |
The median is the middle value if the data is arranged from smallest to largest |
[ ] |
The mode might not appear in the set of data |
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10.
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Which of the following statements is false? |
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[ ] |
The mode is always one of the values in a set of data |
[ ] |
The mode always appears more than any other value |
[ ] |
The median always appears in the set of data |
[ ] |
The mean always includes a fraction or a decimal |
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1.
|
A poll was taken, asking 8 people how many pets they had. Here are the results: 0, 7, 3, 1, 0, 2, 0, 1.
What is the range of the given data? |
|
|
|
2.
|
Sarah counted the number of vehicles which passed her school over the course of one hour. She did this every day for a week and got these results: 180, 164, 212, 197, 207, 222, 146.
What is the mean of the given data? |
|
[ ] |
1,328 |
[ ] |
197 |
[x] |
189.7 |
[ ] |
Impossible to work out |
|
|
3.
|
Michael asked 10 of his friends how many times they had been to watch a live football match. Here are his results: 40, 27, 18, 36, 0, 7, 16, 0, 2, 12.
What is the mode of the given data? |
|
[ ] |
14 |
[ ] |
15.8 |
[ ] |
12 |
[x] |
0 |
|
|
4.
|
Jane wanted to know how old the men in her family were when they began shaving. She asked 9 of them and got these results: 15, 16, 17, 18, 16, 15, 17, 19, 20.
What is the median of the given data? |
|
[ ] |
18 |
[ ] |
16 |
[x] |
17 |
[ ] |
19 |
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5.
|
Steven asked some of his classmates how many brothers or sisters they had. Here’s his results: 2, 3, 0, 0, 1, 0, 2, 0, 1, 3, 5, 0, 1, 2, 0.
How many of Steven’s classmates took part in the survey? |
|
[ ] |
14 |
[x] |
15 |
[ ] |
16 |
[ ] |
20 |
|
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6.
|
Charlotte wanted to find out the average height of her friends. She collected these results: 143 cm, 139 cm, 145 cm, 149 cm, 144 cm.
The mean of these results was 144 cm. She then measured one more friend, Clare, and the mean rose to 145 cm. How tall was Clare? |
|
[x] |
150 cm |
[ ] |
148 cm |
[ ] |
151 cm |
[ ] |
145 cm |
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7.
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From the following set of data, which average is lowest: the mean, the median or the mode?
18, 21, 22, 19, 20, 21, 21. |
|
[x] |
The mean |
[ ] |
The median |
[ ] |
The mode |
[ ] |
They are all the same |
|
|
8.
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From the following set of data, which average is highest: the mean, the median or the mode?
75, 48, 82, 65, 70, 68, 75. |
|
[ ] |
The mean |
[ ] |
The median |
[x] |
The mode |
[ ] |
They are all the same |
|
|
9.
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Which of the following statements is correct? |
|
[ ] |
The median is the value which appears most often |
[ ] |
The mode is the middle value if the data is arranged from smallest to largest |
[x] |
The median is the middle value if the data is arranged from smallest to largest |
[ ] |
The mode might not appear in the set of data |
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10.
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Which of the following statements is false? |
|
[ ] |
The mode is always one of the values in a set of data |
[ ] |
The mode always appears more than any other value |
[ ] |
The median always appears in the set of data |
[x] |
The mean always includes a fraction or a decimal |
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