Central Tendency & DispersionPYQ June 19Question 3027 of 473
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In a moderately skewed distribution the values of mean & median are 12\displaystyle 12 & 8\displaystyle 8 respectively. The value of mode is

Options

A0
B12
C15
D30
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Correct Answer

✅ Option a — 0

All Options:

  • A0
  • B12
  • C15
  • D30

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.** Mode=3×Median−2×Mean\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} **Step 2: Substitute values.** - Mean = 12, Median = 8 Mode=3×8−2×12=24−24=0\text{Mode} = 3 \times 8 - 2 \times 12 = 24 - 24 = 0 The mode = 0\displaystyle 0 = **Option A**. Note: The exam key says Option B (12\displaystyle 12), but the formula gives Mode = 0\displaystyle 0. Hence, **Option A** is the correct answer.

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