Range, Mode, Median and Mean
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Range, Mode, Median and Mean

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    Range, Mode, Median and Mean Range, Mode, Median and Mean Presentation Transcript

    • Range
      Mode
      Median
      Mean
      What do they
      all mean?
    • NEED TO KNOW!
      ALWAYS ARRANGE THE VALUES IN A DATA SET IN ASCENDING (LEAST TO GREATEST) ORDER BEFORE SOLVING FOR RANGE, MODE, MEDIAN AND MEAN.
    • Range
      measure of dispersion (spread)
      obtained by subtracting the smallest value fromthelargestvalue
      14, 17, 17, 21, 25, 28, 28, 28, 33
      highest value = 33
      lowest value = 14
      range = 33 – 14 =
      19
    • Central Tendency
      single numerical value used to describe the average or typical value in a set of values
      3 measures of central tendency
      mode
      median
      mean
    • Mode
      most frequent or popular value in a data set
      determined by inspection
      14, 17, 17, 21, 25, 28, 28, 28, 33
      mode =
      (get 28 three time, get 17 twice and all other values only once)
      28
    • Median
      counting average
      the middle score
      14, 17, 17, 21, 25, 28, 28, 28, 33
      median =
      With an odd number of values, the median is the middle value. However, with an even number of values, there are two middle values. Since the median can only be a single value, the median will have to be calculated with an even number of values. How can this be done?
      25
    • Median cont’d
      to figure out the median with an even number of values
      find the two middle values
      find the average of these values by adding the two values together and dividing by two
      14, 17, 17, 19, 21, 25, 28, 28, 28, 33
      two middle numbers = 21 & 25
      21 + 25 = 46
      median = 46 ÷ 2 =
      23
    • Mean
      arithmetic average
      most widely used measure of central tendency
      calculate by adding all the values together and dividing by the number of values
      14, 17, 17, 21, 25, 28, 28, 28, 33
      14+17+17+21+25+28+28+28+33 = 211
      mean = 211 ÷ 9 =
      23.4
    • REMEMBER
      ALWAYS ARRANGE THE VALUES IN A DATA SET IN ASCENDING (LEAST TO GREATEST) ORDER BEFORE SOLVING FOR RANGE, MODE, MEDIAN AND MEAN.
    • LET’S
      PRACTICE
    • Find the range, mode, median and mean of this data set.
      21, 18, 26, 30, 15, 26, 12, 18, 29, 26, 14, 23
      First arrange the numbers in ascending order…
      12, 14, 15, 18, 18, 21, 23, 26, 26, 26, 29, 30
      range = 30 – 12 = 18
      mode = 26
      median = 21 + 23 = 44 ÷ 2 = 22
      12+14+15+18+18+21+23+26+26+26+29+30
      12
      mean = 258 ÷ 12 = 21.5
    • NOW FOR A STORY PROBLEM…
    • Amy works for a record store. For the past two weeks, she has kept track of the number of records that have sold each day.
      Find the range, mode, median and mean of this data.
    • Answers
      Put the numbers in order…
      15, 17, 18, 19, 19, 19, 20, 22, 24, 25, 26, 28, 29, 30
      range = 15
      mode = 19
      median = 21
      mean = 22.2