In a frequency distribution, if a = assumed mean = 55,∑ fi = 100, h = 10 and ∑ƒiμi = -30, then find the mean of the distributionSelect one:a.52b.51c.50d.53
Question
In a frequency distribution, if a = assumed mean = 55, ∑ fi = 100, h = 10 and ∑ƒiμi = -30, then find the mean of the distribution
Select one:
a. 52
b. 51
c. 50
d. 53
Solution
To find the mean of the distribution, we can use the formula:
Mean = a + (∑ƒiμi) / (∑ fi)
Given that a = 55, ∑ fi = 100, h = 10, and ∑ƒiμi = -30, we can substitute these values into the formula:
Mean = 55 + (-30) / 100
Simplifying the expression:
Mean = 55 - 0.3
Mean = 54.7
Therefore, the mean of the distribution is approximately 54.7.
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