Measures of Central Tendency and DispersionPYQ May 25Question 4378 of 473
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Find out the mode from the following data: 100, 110, 125, 225, 325, 125, 90, 80, 455, 375, 125

Options

A325
B110
C455
D125
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Correct Answer

✅ Option d — 125

All Options:

  • A325
  • B110
  • C455
  • D125

Detailed Solution & Explanation

The mode of a dataset is the value that occurs most frequently. Let us find the frequency of each value in the given dataset:
{100,110,125,225,325,125,90,80,455,375,125}\{100, 110, 125, 225, 325, 125, 90, 80, 455, 375, 125\} - 125\displaystyle 125 appears 3\displaystyle 3 times.
- 100,110,225,325,90,80,455,375\displaystyle 100, 110, 225, 325, 90, 80, 455, 375 each appear only 1\displaystyle 1 time.

Since 125\displaystyle 125 has the highest frequency (3 times), the mode is 125\displaystyle 125.

Hence, **Option D** 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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