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Handling Data 2
 

Handling Data 2

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    Handling Data 2 Handling Data 2 Presentation Transcript

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