Central Tendency & DispersionMTP Oct 21Question 2902 of 473
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If the A.M of any distribution be 25 & one term is 18. Then the deviation of 18 from A.M is

Options

A7
B-7
C43
DNone of these
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Correct Answer

✅ Option b — -7

All Options:

  • A7
  • B-7
  • C43
  • DNone of these

Detailed Solution & Explanation

**Step 1: Compute the deviation of 18 from AM.** Deviation =xi−xˉ=18−25=−7\displaystyle = x_i - \bar{x} = 18 - 25 = -7 **Step 2: Check the options.** The algebraic deviation is −7\displaystyle -7 (Option B). However, if the question asks for the **absolute** deviation, it is ∣18−25∣=7\displaystyle |18 - 25| = 7 (Option A). **Note:** The `correct_option` is C (43), which would be 18+25=43\displaystyle 18 + 25 = 43, not the deviation. The deviation of 18 from AM (25) is either −7\displaystyle -7 (algebraic) or 7\displaystyle 7 (absolute). Neither is 43. The correct answer by definition of deviation is **B (-7)** if algebraic, or **A (7)** if absolute. Hence, **Option B** is the correct answer.

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