Mathematics
Grade6
Easy

Question

Find the mean, median, mode(s), and range of the following data.
20, 17, 10, 31, 25, 18, 12

  1. Mean: 19, median: 18, mode: none, range: 21
  2. Mean: 19, median: 18, mode: none, range: 20
  3. Mean: 19, median: 18, mode: 31, range: 21
  4. Mean: 18, median: 18, mode: none, range: 21

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: 19, median: 18, mode: none, range: 21


    Arranging the data in the increasing order we get,

    10, 12, 17, 18, 20, 25, 31

    Maximum value = 31 ,minimum value = 10

    Range = maximum value - minimum value  = 31 - 10  = 21.

    Mean = fraction numerator 10 plus space 12 plus space 17 plus space 18 plus space 20 plus space 25 plus 31 over denominator 7 end fraction space equals space 133 over 7 space equals space 19

    No Mode as all elements occurred once.

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

    Median = 18

    So, The mean is 19, median: 18, mode: none, range: 21

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