Question
Download Solution PDFIf the mode of a data is 8 and its median is 12 less than its mean. Then what is the value of mean?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Mode of the data = 8
Median is 12 less than the mean.
Formula Used:
Mean - Median = 12
Mode = 3(Median) - 2(Mean)
Calculation:
Let Mean = M and Median = Md
From the given information:
Md = M - 12
Also, Mode = 3(Median) - 2(Mean)
Given Mode = 8
Substitute the values:
8 = 3(M - 12) - 2M
Simplify the equation:
8 = 3M - 36 - 2M
8 = M - 36
⇒ M = 44
The value of the mean is 44.
Last updated on Jun 12, 2025
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