Mean Median Mode Range
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The document defines and provides examples of calculating mean, median, mode, and range from a dataset of class shoe sizes. It explains that the mean is calculated by adding all the numbers and dividing by the total, the median is the middle number when values are ordered, the mode is the most frequent number, and the range is the difference between the highest and lowest values. The mean shoe size was 4, the median was 4.5, the mode was 5, and the range was 5.
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Mean Median Mode Range
- 1. Mean, Median, Mode & Range
- 2. Mean, Median, Mode are all types of average. An average summarises groups of data.
- 3. Mean Average often means the ‘mean’ 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
- 4. Median Median is the middle value Put the numbers in order Choose the number in the middle of the list. 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
- 5. Mode Mode is the most common number Put the numbers in order Choose the number that appears the most frequently. 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.
- 6. Range Range is how far from biggest to smallest. Put the numbers in order 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