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11 Plus (11+) Maths Practice Test: Handling Data 2 (Difficult)
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Four things are 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.

 

Related: 11 Plus (11+) Maths Practice Test: Handling Data (Difficult)

11 Plus (11+) Maths Practice Test: Handling Data 2 (Difficult)
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10 Questions

1. 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?
2. 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?
3. 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?
4. From the following set of data, which average is lowest: the mean, the median or the mode?
18, 21, 22, 19, 20, 21, 21.
5. Which of the following statements is false?
6. 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?
7. 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?
8. 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?
9. 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?
10. 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?