Mathematics
Grade6
Easy

Question

Find the mean, median, mode and range
21, 62, 66, 66, 79, 28, 63, 48, 59, 94, 19

  1. Mean: 57, median: 62, mode: 66, range: 75
  2. Mean: 55, median: 62, mode: 66, range: 75
  3. Mean: 55, median: 63, mode: 66, range: 75
  4. Mean: 55, median: 62, mode: none, range: 75

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: 55, median: 62, mode: 66, range: 75


    Arranging the data in the increasing order we get,

    19, 21, 28, 48, 59, 62, 63, 66, 66, 79, 94

    Maximum value = 94 ,minimum value = 19

    Range = maximum value - minimum value  = 94 - 19 = 75.

    Mean = fraction numerator 19 plus space 21 plus space 28 plus space 48 plus space 59 plus space 62 plus space 63 plus space 66 plus space 66 plus space 79 plus space 94 over denominator 11 end fraction space equals space 605 over 11 space equals space 55

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

    The median of the data with 11(5+1+5) elements (11 is odd) is the 6th element. 

    Median = 62
    Therefore, The mean is 55, median: 62, mode: 66, range: 75

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