Mathematics
Grade6
Easy

Question

Find the mean, median, mode, and range.
70, 45, 63, 58, 99, 75, 45, 82, 36

  1. Mean: 63.7, median: 63, mode: 45, range: 63
  2. Mean: 63, median: 63, mode: 45, range: 63
  3. Mean: 63.7, median: 58, mode: 45, range: 63
  4. Mean: 63.7, median: 63, mode: 45, range: 64

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: 63.7, median: 63, mode: 45, range: 63


    Arranging the data in the increasing order we get,

    36, 45, 45, 58, 63, 70, 75, 82, 99

    Maximum value = 99 ,minimum value = 36

    Range = maximum value - minimum value  =99-36 = 63.

    Meanfraction numerator 36 plus space 45 plus space 45 plus space 58 plus space 63 plus space 70 plus space 75 plus space 82 plus space 99 over denominator 9 end fraction space equals 573 over 9 space equals space 63.7

    Mode is 45 as it is repeated by a maximum no .of times.

    The median of the data with 9(4+1+4) elements (9 is odd) is the 5th element. 

    Median = 63

    So, The mean is 63.7, median: 63, mode: 45, range: 63

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