Mathematics
Grade6
Easy

Question

Find the mean, median, mode(s), and range of the following data.
24, 12, 10, 15, 10, 22, 12

  1. Mean: 15, median: 12, mode: 10, 12 range: 14
  2. Mean: 15, median: 10, mode: 10, 12 range: 14
  3. Mean: 15, median: 12, mode: 10, range: 14
  4. Mean: 15, median: 12, mode: 10, 12 range: 15

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: 15, median: 12, mode: 10, 12 range: 14


    Arranging the data in the increasing order we get.

    10, 10, 12, 12, 15, 22, 24

    Maximum value = 24 ,minimum value = 10

    Range = maximum value - minimum value  = 24 - 10 = 14.

    Mean = fraction numerator space space 10 plus space 10 plus space 12 plus space 12 plus space 15 plus space 22 plus space 24 over denominator 7 end fraction space equals space 105 over 7 space equals space 15

    Mode is 10,12 as both repeats maximum number of times ( = 3) .

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

    Median = 12
    Therefore, The mean is 15, median: 12, mode: 10, 12, range: 14

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