Measures of Central Tendency and DispersionMCQPYQ July 21Question 2998 of 473
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Expenditures of a company (in million rupees) per item in various yearsYear | Item of expenditure| Salary | Fuel & Bonus | Int on | Taxes| | Wages | | Loans || 1998 | 288 | 98 | 3.00 | 23.4 | 83| 1999 | 342 | 112 | 3.50 | 32.5 | 108| 2000 | 324 | 108 | 3.84 | 41.6 | 74| 2001 | 336 | 123 | 3.68 | 36.4 | 88| 2002 | 420 | 142 | 3.96 | 49.4 | 98What is the avg. interest per year which the company had to pay during this period?

Options

A33.66\displaystyle 33.66
B36.66\displaystyle 36.66
C31.66\displaystyle 31.66
D39.66\displaystyle 39.66
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Correct Answer

Option b36.66\displaystyle 36.66

All Options:

  • A33.66\displaystyle 33.66
  • B36.66\displaystyle 36.66
  • C31.66\displaystyle 31.66
  • D39.66\displaystyle 39.66

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Detailed Solution & Explanation

**Step 1: Identify the 'Interest on Loans' column values.** From the table: - 1998: 23.4 - 1999: 32.5 - 2000: 41.6 - 2001: 36.4 - 2002: 49.4 **Step 2: Calculate the sum.** Sum=23.4+32.5+41.6+36.4+49.4\text{Sum} = 23.4 + 32.5 + 41.6 + 36.4 + 49.4 =23.4+32.5=55.9= 23.4 + 32.5 = 55.9 55.9+41.6=97.555.9 + 41.6 = 97.5 97.5+36.4=133.997.5 + 36.4 = 133.9 133.9+49.4=183.3133.9 + 49.4 = 183.3 **Step 3: Calculate the average.** xˉ=183.35=36.66\bar{x} = \frac{183.3}{5} = 36.66 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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