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Mean, Median, Mode & Range

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Mean, Median, Mode are all types of average. An average summarises groups of data.

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Mean Average often means the ‘mean’ Average often means the ‘mean’ Mean = total of the numbers divided by how many numbers. Mean = total of the numbers divided by how many numbers. Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6 Add up the numbers: 3 + 5 + 5 + 6 + 4 + 3 + 2 + 1 + 5 + 6 = 40 Divide by how many numbers: 40 ÷ 10 = 4 The class mean shoe size is 4

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Median Median is the middle value Median is the middle value Put the numbers in order Put the numbers in order Choose the number in the middle of the list. Choose the number in the middle of the list. If there are 2 numbers in the middle then it is halfway between them. If there are 2 numbers in the middle then it is halfway between them. Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6 Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6 The class median shoe size is 4.5

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Mode Mode is the most common number Mode is the most common number Put the numbers in order Put the numbers in order Choose the number that appears the most frequently. Choose the number that appears the most frequently. Sometimes there may be more than one mode. Sometimes there may be more than one mode. Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6 Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6 The class modal shoe size is 5.

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Range Range is how far from biggest to smallest. Range is how far from biggest to smallest. Put the numbers in order Put the numbers in order Take the smallest number from the largest. Take the smallest number from the largest. Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6 Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6 Subtract smallest from largest: 6 – 1 = 5 Range: 5

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Median Median is the middle number in a data set when the data are arranged in numerical order. If you have an even number of data items, add the two middle.

Median Median is the middle number in a data set when the data are arranged in numerical order. If you have an even number of data items, add the two middle.

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