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© Boardworks Ltd 20101 of 10

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© Boardworks Ltd 20102 of 10

© Boardworks Ltd 20103 of 10

Analysing data

150, 148, 138, 152, 151, 160, 147, 146, 152, 155, 152, 149

Sam says the average height is 152 cm, but Joe says it is 150 cm. Show how they are both right.

Jenny says that the average is 150.5 cm. Can she be right? Justify your answer.

Sam and Jenny claim that the range of the values is 1, but Joe says the range is 22. Explain why Joe is right. What mistake have Sam and Jenny made?

There are 12 pupils in a Year 10 class that have their height (in centimetres) measured by the school nurse.

© Boardworks Ltd 20104 of 10

© Boardworks Ltd 20105 of 10

No mean feat

To keep the gang together, the mean value of their shirts always has to be 5.

A local group of five teenagers always hang around together.

They are called the ‘meanies’ and they always wear a whole number positive single digit on the front of their shirts.

What different combinations of ‘meanies’ can you find?

They also always walk about in numerical order.

© Boardworks Ltd 20106 of 10

Saving the ‘meanies’

© Boardworks Ltd 20107 of 10

Which of the combinations are left now?

Which of the ‘meanies’ will survive?

A mean trick

The ‘meanies’ introduce a new rule banning all combinations whose middle number is not a 6.

A final rule states that all combinations without a range of 6 are banned.

The remaining ‘meanies’ introduce another rule that only those combinations with more than one 6 are able to remain.

How many ‘meanies’ remain? What are they?

© Boardworks Ltd 20108 of 10

Mean what you say

Invent your own ‘meanie’ story using a different set of rules and instructions.

Using 4 different numbers, can you create a set of instructions that will only leave one possible solution?

© Boardworks Ltd 20109 of 10

© Boardworks Ltd 201010 of 10

Mean, median and mode

Jeff thinks that the missing number is 8 and Polly says the number is 4. Explain who is right.

A sixth card is added that increases the mean by 0.5. What is the sixth card? What are the new median and mode values? What is the range? Show your working.

The five cards shown below have the same mean, median and mode value.