Central Tendency & DispersionPYQ June 24Question 3043 of 473
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If Mean of a data set is 22 and Median is 22.33 then Mode is

Options

A21
B21.34
C22.99
D21.54
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Correct Answer

✅ Option c — 22.99

All Options:

  • A21
  • B21.34
  • C22.99
  • D21.54

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 = 22, Median = 22.33 Mode=3×22.33−2×22\text{Mode} = 3 \times 22.33 - 2 \times 22 =66.99−44=22.99= 66.99 - 44 = 22.99 Hence, **Option C** is the correct answer.

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