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

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Range, Mode, Median and Mean Presentation Transcript

  • 1. Range
    Mode
    Median
    Mean
    What do they
    all mean?
  • 2. 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.
  • 3. 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
  • 4. 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
  • 5. 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
  • 6. 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
  • 7. 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
  • 8. 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
  • 9. REMEMBER
    ALWAYS ARRANGE THE VALUES IN A DATA SET IN ASCENDING (LEAST TO GREATEST) ORDER BEFORE SOLVING FOR RANGE, MODE, MEDIAN AND MEAN.
  • 10. LET’S
    PRACTICE
  • 11. 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
  • 12. NOW FOR A STORY PROBLEM…
  • 13. 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.
  • 14. 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