# Below is the Given Frequency Distribution of Words in an Essay:Find the Mean Number of Words Written. - Algebra

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Below is the given frequency distribution of words in an essay:

 Number of words Number of Candidates 600  -  800 12 800  -  1000 14 1000 - 1200 40 1200 - 1400 15 1400 - 1600 19

Find the mean number of words written.

#### Solution

 No. of words Class Mark No. of candidate fx x f fx 600 - 800 700 12 8400 800 - 1000 900 14 12600 1000 - 1200 1100 40 44000 1200 - 1400 1300 15 19500 1400 - 1600 1500 19 28500 ∑f =100 ∑fx = 113000

Mean by Direct method
Mean (bar("x")) = (∑"f""x")/(∑"f") =113000/100
=   1130  words

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