Mathematics
Grade6
Easy

Question

Find the mean, median, mode and range
83, 23, 24, 71, 52, 62, 63

  1. Mean: 54, median: 62, mode: none, range: 60
  2. Mean: 54, median: 62, mode: none, range: 61
  3. Mean: 54, median: 62, mode: 71, range: 60
  4. Mean: 55, median: 62, mode: none, range: 60

hintHint:

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The median is the middle number in a sorted, ascending or descending list of numbers.

The mode is the value that appears most frequently in a data set.

Range = maximum value - minimum value .

The correct answer is: Mean: 54, median: 62, mode: none, range: 60


    Arranging the data in the increasing order we get.

    83, 23, 24, 71, 52, 62, 63 

     23, 24, 52, 62, 63, 71, 83

    Maximum value = 83 ,minimum value = 23

    Range = maximum value - minimum value  = 83 - 23 = 60.

    Mean = fraction numerator space 23 plus space 24 plus space 52 plus space 62 plus space 63 plus space 71 plus space 83 over denominator 7 end fraction space equals space fraction numerator 378 over denominator 7 space end fraction space equals space 54

    No Mode as all elements occurred once.

    The median of the data with 7(3+1+3) elements (7 is odd) is the 4th element. 

    Median = 62
    Therefore, The mean is 54, median: 62, mode: none, range: 60

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