In this 11-plus Maths quiz you are going to look at four important ideas: the range, the mean, the mode and the median. These numerical values will help you interpret data: especially when you have only numerical data.
Christine and some of her friends journey to school on their bicycles. You will only be given a set of numbers to work with. From these numbers, you must find numerical values. In order to get good marks in this quiz, you will need to know the meanings of the mathematical terms mentioned above. If you are not sure, or want to refresh your memory, go and get a dictionary right now and jot down the meanings. This will help you to understand what is required of you - and hopefully to get 10 out of 10!
Enjoy yourself!
1.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the range of the given data? |
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2.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the mean of the given data? |
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[ ] |
6.4 |
[ ] |
9 |
[ ] |
6 |
[ ] |
8 |
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3.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the mode of the given data? |
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[ ] |
odd |
[ ] |
6 |
[ ] |
9 |
[ ] |
even |
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4.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the median of the given data? |
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5.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
How many of Christine's friends took part in the survey? |
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6.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
Christine decided to include one more friend in her survey. If that friend hadn't cycled to school in the last month, how would that affect the latest month's value of the 'mean'? |
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It would lower the value of the 'mean' |
[ ] |
It wouldn't affect the value of the 'mean' because the number of times she has cycled to school = 0 |
[ ] |
There isn't enough information to answer this question |
[ ] |
It would increase the value of the 'mean' |
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7.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
How many people cycled to school the same number of times? |
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8.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
How many people cycled to school more times than the mean number of times (before the extra person was included)? |
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9.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
Which of the following statements is correct? |
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The mean is always one of the data values |
[ ] |
The mean is sometimes one of the data values |
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The mean is never one of the data values |
[ ] |
The mean is never negative |
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10.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
Why does the data have to be ordered to calculate the median? |
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[ ] |
It makes the data set appear tidier |
[ ] |
They don't have to be ordered |
[ ] |
So that you know how many data values you have |
[ ] |
If you don't order the data values, your answers will usually be different each time |
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1.
|
This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the range of the given data? |
|
|
|
2.
|
This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the mean of the given data? |
|
[x] |
6.4 |
[ ] |
9 |
[ ] |
6 |
[ ] |
8 |
|
|
3.
|
This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the mode of the given data? |
|
[ ] |
odd |
[ ] |
6 |
[x] |
9 |
[ ] |
even |
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4.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
What is the median of the given data? |
|
|
|
5.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
How many of Christine's friends took part in the survey? |
|
|
|
6.
|
This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
Christine decided to include one more friend in her survey. If that friend hadn't cycled to school in the last month, how would that affect the latest month's value of the 'mean'? |
|
[x] |
It would lower the value of the 'mean' |
[ ] |
It wouldn't affect the value of the 'mean' because the number of times she has cycled to school = 0 |
[ ] |
There isn't enough information to answer this question |
[ ] |
It would increase the value of the 'mean' |
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|
7.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
How many people cycled to school the same number of times? |
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8.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
How many people cycled to school more times than the mean number of times (before the extra person was included)? |
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9.
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This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
Which of the following statements is correct? |
|
[ ] |
The mean is always one of the data values |
[x] |
The mean is sometimes one of the data values |
[ ] |
The mean is never one of the data values |
[ ] |
The mean is never negative |
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10.
|
This question is based on the following data set which represents the number of times that Christine's friends cycled to school: 9, 2, 4, 5, 6, 9, 10.
Why does the data have to be ordered to calculate the median? |
|
[ ] |
It makes the data set appear tidier |
[ ] |
They don't have to be ordered |
[ ] |
So that you know how many data values you have |
[x] |
If you don't order the data values, your answers will usually be different each time |
|
|