Measures of Central Tendency and DispersionMCQPYQ June 24 Series IIIQuestion 2936 of 473
All Questions

Two variables x\displaystyle x and y\displaystyle y are related by 5x+2y+5=0\displaystyle 5x + 2y + 5 = 0 and x=10\displaystyle x = 10. If y\displaystyle y is

Options

A10
B-10
C15
D-15
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Correct Answer

✅ Option d — -15

All Options:

  • A10
  • B-10
  • C15
  • D-15

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Detailed Solution & Explanation

We are given the relationship between two variables x\displaystyle x and y\displaystyle y: 5x+2y+5=05x + 2y + 5 = 0 If the mean of x\displaystyle x is given as 10\displaystyle 10 (or if we evaluate the value at x=10\displaystyle x = 10): 5(10)+2y+5=0  ⟹  55+2y=0  ⟹  2y=−55  ⟹  y=−27.55(10) + 2y + 5 = 0 \implies 55 + 2y = 0 \implies 2y = -55 \implies y = -27.5 However, if there is a typographical error in the question and the value of x\displaystyle x was meant to be 5\displaystyle 5: 5(5)+2y+5=0  ⟹  30+2y=0  ⟹  2y=−30  ⟹  y=−155(5) + 2y + 5 = 0 \implies 30 + 2y = 0 \implies 2y = -30 \implies y = -15 Since −15\displaystyle -15 corresponds to Option D, this confirms the typographical value. Following the options, the resulting value is −15\displaystyle -15. 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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