Mathematics
Grade6
Easy

Question

Mrs.Garcia's students collected cans for recycling. The following is a record of how many cans were collected by each student: 3, 7, 9, 6, 6, 3, 7, 9, 5, 5, 4, 4, 4, 4, 6, 7, 7, 1, 3, 6, and 6. Find the mean, median, and mode for the data.

  1. Mean = 5, median = 7, mode = 7
  2. Mean = 5.33, median = 6, mode = 7
  3. Mean = 5.33, median = 6, mode = 6
  4. Mean = 5.33, median = 7, mode = 7

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.

The correct answer is: Mean = 5.33, median = 6, mode = 6


    Arranging the data in the increasing order we get,

    1, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9

    Mean = 

    fraction numerator 1 plus space 3 plus space 3 plus space 3 plus space 4 plus space 4 plus space 4 plus space 4 plus space 5 plus space 5 plus space 6 plus space 6 plus space 6 plus space 6 plus space 6 plus space 7 plus space 7 plus space 7 plus space 7 plus space 9 plus space 9 over denominator 21 end fraction space equals space 112 over 21 space equals space 5.33

    Mode is 6 as it is repeated by a maximum no.of times (= 5).

    The median of the data with 21 elements (21 is odd) is the 11th element.

    Median = 6

    So, The mean is 5.33, Median = 6, mode = 6

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