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Question

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

This question was previously asked in
HTET 2025 Level 1 PRT Question Paper (5-Jul-2026)
The correct answer is

13

The standard empirical relationship among the three measures of central tendency is \(\text{Mode} = 3(\text{Median}) - 2(\text{Mean})\), which rearranges to \(3(\text{Median}) = \text{Mode} + 2(\text{Mean})\).

Comparing with the given form \(a(\text{Median}) = \text{Mode} + b(\text{Mean})\), we get \(a=3\) and \(b=2\).

So \(2b+3a = 2(2)+3(3) = 4+9 = 13\).

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Important Questions from Measures of Central Tendency

  1. What is the median of the following data?


    24, 30, 40, 80, 15, 57, 78, 82, 39, 97, 82

  2. The Geometric mean of four numbers 2, X, 16, 32 is 8. What is the value of X ?
  3. If mean = 28 and mode = 25, the value of median will be :
  4. Given arithmetic mean = 45, mode = 48, then median =
  5. Assertion (A) : Geometric mean is theoretically considered as the best average to construct index numbers.
    Reason (R) : Geometric mean is used if the range of observations is extremely large.
    Codes :
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