Measures of Central Tendency and DispersionMCQMTP 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

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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.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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