Handling Data 2

Handling data 2,[object Object],BTEOTSSSBAT:,[object Object],Calculate the mean, mode, median and range of a set of data,[object Object],Find the mean from a frequency table,[object Object]

Key words,[object Object],Mean,[object Object],Median,[object Object],Mode,[object Object],Range,[object Object],Frequency,[object Object]

Mean, median and mode,[object Object],There are three types of average: mean, mode and median.,[object Object],Mode,[object Object],This is the one that occurs the most.,[object Object],Median,[object Object],This is the one in the middle, when all the numbers have been put into numerical order.,[object Object],Mean,[object Object],This is the one that we normally think of when we are asked to find the average. ,[object Object],Mean = Total of the scores,[object Object], No of scores,[object Object]

Range,[object Object],The range is also an important piece of information. It tells us how spread out the information is.,[object Object],Range = largest – smallest,[object Object]

Example,[object Object],Here are the scores that 5 people get for a test.,[object Object],6 7 5 6 6,[object Object],Find (a) the mean (b) the mode and (c) the median score and (d) the range,[object Object],(a) Mean = 6 + 7 + 5 + 6 + 6 = 30,[object Object], 5 5,[object Object],= 6,[object Object],(b) Mode: 6 occurs the most (3 times) so the mode is 6,[object Object],(c) Median,[object Object],Step 1: put in numerical order: 5, 6, 6, 6, 7 ,[object Object],Step 2: identify the middle number: 5, 6, 6, 6, 7 ,[object Object],So the median is 6.,[object Object],(d) The range is 7 – 5 = 2.,[object Object]

Now try these 1,[object Object],Five other people take the same test and their scores are:,[object Object],5 3 5 5 7,[object Object],Find (a) the mean (b) the mode (c) the median score and (d) the range,[object Object],The following are the midday temperatures over a week:,[object Object],23 C 24C 25C 26C 20C 23C 27C,[object Object],Find (a) the mean (b) the mode (c) the median score and (d) the range,[object Object]

Using frequency tables,[object Object],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:,[object Object],Range,[object Object],= 6-0 = 6,[object Object],Highest frequency = mode,[object Object],Mode = 0,[object Object]

37  0 = 0,[object Object],23  1 = 23,[object Object],1.51 children,[object Object],The mean number of children per house would then be ,[object Object]

Now try these 2,[object Object],1 .The number of children per family on a housing estate were recorded as follows:,[object Object],Find (a) the range (b) the mode and (c) the mean number of children per family.,[object Object]

2. An agricultural researcher counted the number of peas in a pod in a certain strain as follows:,[object Object],Find (a) the range (b) the mode and (c) the mean number of children per family.,[object Object]

Handling Data 2

Handling Data 2

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Handling Data 2