Measures of Central Tendency and DispersionMCQMTP Nov 18Question 2879 of 473
All Questions

The mean salary for a group of for a group of 50 male workers is Rs.4800 per month and that for a group of 50 female workers is Rs. 5600. the combined mean salary is

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 5200

All Options:

  • A5100
  • B5200
  • C5300
  • D5400

Detailed Solution & Explanation

**Step 1: Identify the given data.** nm=50\displaystyle n_m = 50, xˉm=4800\displaystyle xˉm=4800\displaystyle \bar{x}_m = 4800 (males); nf=50\displaystyle n_f = 50, xˉf=5600\displaystyle xˉf=5600\displaystyle \bar{x}_f = 5600 (females). **Step 2: Apply combined mean formula.** xˉcombined=nmxˉm+nfxˉfnm+nf=50×4800+50×560050+50\displaystyle \bar{x}_{combined} = \frac{n_m xˉm+nf\displaystyle \bar{x}_m + n_f xˉf\displaystyle \bar{x}_f}{n_m + n_f} = 50×4800+50×560050+50\displaystyle \frac{50 \times 4800 + 50 \times 5600}{50 + 50} =240000+280000100=520000100=5200= 240000+280000100=520000100=5200\displaystyle \frac{240000 + 280000}{100} = \frac{520000}{100} = 5200 **Note:** The computed answer is **5200** (Option B), not 5100 (Option A). Since both groups have equal size (50 each), the combined mean is simply 4800+56002=5200\displaystyle 4800+56002=5200\displaystyle \frac{4800+5600}{2} = 5200. 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.

Related Comparison Tables

Mean vs Median vs Mode: Measures of Central TendencyFiscal Policy vs Monetary Policy: CA Foundation Economics

More Questions from Measures of Central Tendency and Dispersion

If the range of $28, 22, 40, 20, 15, 50$ is

If the S.D. of the 1st\displaystyle 1^{st} n\displaystyle n natural numbers is 30\displaystyle 30\displaystyle \sqrt{30} then the value of n\displaystyle n is

If the variance of $5, 7, 9\displaystyle and $11 is 4\displaystyle 4, then the coefficient of variation is:

A helicopter flies from A to B at the rate of 500 km/hr. and comes back at the rate 700 km/hr. The average speed of the helicopter is

If Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of two numbers are 6.50 and 6 respectively, then the two numbers are

Which of the following is not a method of dispersion?

Ready to Master Measures of Central Tendency and Dispersion?

Practice all 473 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free