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Handling Data 2

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Handling Data 2

1. 1. Handling data 2<br />BTEOTSSSBAT:<br />Calculate the mean, mode, median and range of a set of data<br />Find the mean from a frequency table<br />
2. 2. Key words<br />Mean<br />Median<br />Mode<br />Range<br />Frequency<br />
3. 3. Mean, median and mode<br />There are three types of average: mean, mode and median.<br />Mode<br />This is the one that occurs the most.<br />Median<br />This is the one in the middle, when all the numbers have been put into numerical order.<br />Mean<br />This is the one that we normally think of when we are asked to find the average. <br />Mean = Total of the scores<br /> No of scores<br />
4. 4. Range<br />The range is also an important piece of information. It tells us how spread out the information is.<br />Range = largest – smallest<br />
5. 5. Example<br />Here are the scores that 5 people get for a test.<br />6 7 5 6 6<br />Find (a) the mean (b) the mode and (c) the median score and (d) the range<br />(a) Mean = 6 + 7 + 5 + 6 + 6 = 30<br /> 5 5<br />= 6<br />(b) Mode: 6 occurs the most (3 times) so the mode is 6<br />(c) Median<br />Step 1: put in numerical order: 5, 6, 6, 6, 7 <br />Step 2: identify the middle number: 5, 6, 6, 6, 7 <br />So the median is 6.<br />(d) The range is 7 – 5 = 2.<br />
6. 6. Now try these 1<br />Five other people take the same test and their scores are:<br />5 3 5 5 7<br />Find (a) the mean (b) the mode (c) the median score and (d) the range<br />The following are the midday temperatures over a week:<br />23 C 24C 25C 26C 20C 23C 27C<br />Find (a) the mean (b) the mode (c) the median score and (d) the range<br />
7. 7. Using frequency tables<br />If we survey 120 houses and asked how many people under the age of 16 lived in the house, we might get the following results:<br />Range<br />= 6-0 = 6<br />Highest frequency = mode<br />Mode = 0<br />
8. 8. 37  0 = 0<br />23  1 = 23<br />1.51 children<br />The mean number of children per house would then be <br />
9. 9. Now try these 2<br />1 .The number of children per family on a housing estate were recorded as follows:<br />Find (a) the range (b) the mode and (c) the mean number of children per family.<br />
10. 10. 2. An agricultural researcher counted the number of peas in a pod in a certain strain as follows:<br />Find (a) the range (b) the mode and (c) the mean number of children per family.<br />
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