Mathematics
Grade6
Easy

Question

Find the mean, median, mode and range.
82, 23, 59, 94, 70, 26, 32, 83, 87, 94

  1. Mean: 61, median: 70, mode: 32, 94, range: 71
  2. Mean: 62, median: 70, mode: 32, 94, range: 71
  3. Mean: 62, median: 70, mode: 32, 94, range: 70
  4. Mean: 62, median: 59, mode: 32, 94, range: 71

The correct answer is: Mean: 62, median: 70, mode: 32, 94, range: 71


    Arranging the data in the increasing order we get,

    23, 26, 32, 59, 70, 82, 83, 87, 94, 94

    Maximum value = 94 ,minimum value = 23

    Range = maximum value - minimum value  = 94 - 23 = 71.

    Mean = fraction numerator 23 plus space 26 plus space 32 plus space 59 plus space 70 plus space 82 plus space 83 plus space 87 plus space 94 plus space 94 over denominator 10 end fraction space equals 650 over 10 space equals space 65

    Mode is 94 as it repeats a maximum number of times ( = 2).

    The median of the data with 10 elements (10 is even) is the average of the 5th and 6th elements.

    Median = fraction numerator 70 plus 82 over denominator 2 end fraction space equals space 76
    Therefore, The mean is 65, median: 76, mode: 94, Range: 71

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