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Let empirical relationship between the three measures of central tendency be a(Median) = Mode + b(Mean), then (2b + 3a) = ______. - Mathematics

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Question

Let empirical relationship between the three measures of central tendency be a(Median) = Mode + b(Mean), then (2b + 3a) = ______.

Options

  • 11

  • 12

  • 13

  • 14

MCQ
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Solution

Let empirical relationship between the three measures of central tendency be a(Median) = Mode + b(Mean), then (2b + 3a) = 13.

Explanation:

Since 3 Median = Mode + 2 Mean

So, a = 3 and b = 2

Thus, (2b + 3a)

= (2 × 2 + 3 × 3)

= 4 + 9

= 13

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