Central Tendency & DispersionMTP Dec 2023 Series IQuestion 2922 of 473
All Questions

The mean salary of a group of 50\displaystyle 50 persons is Rs. 5850\displaystyle 5850. Later on it is discovered that the salary of one has been wrongly taken as Rs. 8000\displaystyle 8000 instead of Rs. 7500\displaystyle 7500. The corrected mean salary is

Options

ARs. 5854\displaystyle 5854
BRs. 5846\displaystyle 5846
CRs. 5640\displaystyle 5640
DNone of these
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — None of these

All Options:

  • ARs. 5854\displaystyle 5854
  • BRs. 5846\displaystyle 5846
  • CRs. 5640\displaystyle 5640
  • DNone of these

Detailed Solution & Explanation

**Step 1: Original (wrong) total sum.** Wrong sum=50×5850=292500\text{Wrong sum} = 50 \times 5850 = 292500 **Step 2: Correct the sum.** Correct sum=292500−8000+7500=292000\text{Correct sum} = 292500 - 8000 + 7500 = 292000 **Step 3: Compute correct mean.** Correct mean=29200050=5840\text{Correct mean} = \frac{292000}{50} = 5840 **Note:** The correct mean is **Rs. 5840**. Looking at the options: Option C is Rs. 5640, Option B is Rs. 5846, neither matches exactly. However 5840 is not among options A, B, C exactly. The `correct_option` is D (None of these), but 5840 is very close to but not the same as any option. Given these options, **D (None of these)** is technically the correct choice since 5840 ≠ 5854, 5846, or 5640. Hence, **Option D** is the correct answer.

More Questions from Central Tendency & Dispersion

If the range of 28,22,40,20,15,50\displaystyle 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 \sqrt{30} then the value of n\displaystyle n is

If the variance of 5,7,9\displaystyle 5, 7, 9 and 11\displaystyle 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 Central Tendency & Dispersion?

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

Start Practicing — It's Free