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find the mean of the following frequency distribution: score:1,2,3,4,5,6,7. frequently :. 5,9,12,17,14,10,6​

User Kaznovac
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1 Answer

9 votes

Answer:

Mean = 4.1

Explanation:

Let the scores be denoted by x

Given the following data;

Scores (x) = 1, 2, 3, 4, 5, 6, 7

Frequency, F = 5, 9, 12, 17, 14, 10, 6

Total number, n = sum of frequency


Total \; number, n = 5 + 9 + 12 + 17 + 14 + 10 + 6

Total number, n = 73


F(x) = (1*5) + (2*9) + (3*12) + (4*17) + (5*14) + (6*10) + (7*6)


F(x) = 5 + 18 + 36 + 68 + 70 + 60 + 42

F(x) = 299


Mean = \frac {F(x)}{n}


Mean = \frac {299}{73}

Mean = 4.1

Therefore, the mean of this frequency distribution is 4.1.

User Agu Dondo
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