Central Tendency & DispersionMTP May 19 Series IIQuestion 3155 of 473
All Questions

If the profits of a company remain the same for the last ten months, then the standard deviation of profits for these ten months would be?

Options

APositive
BNegative
CZero
DA or C
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — Zero

All Options:

  • APositive
  • BNegative
  • CZero
  • DA or C

Detailed Solution & Explanation

**Concept:** Standard Deviation measures the variability of data from the mean. **Analysis:** If profits remain the same for all 10 months, then all observations are equal (say, each = P\displaystyle P). - Mean xˉ=P\displaystyle \bar{x} = P - Each deviation (xi−xˉ)=P−P=0\displaystyle (x_i - \bar{x}) = P - P = 0 - σ2=∑(xi−xˉ)2n=0\displaystyle \sigma^2 = \frac{\sum(x_i - \bar{x})^2}{n} = 0 - σ=0\displaystyle \sigma = 0 **Key Facts:** - SD is always **non-negative** (σ≥0\displaystyle \sigma \geq 0) - SD can NEVER be negative - When all values are identical, SD = 0 The given `correct_option` is 'b' (Negative), which is **wrong**. SD cannot be negative. The correct answer is **Zero** (Option C). Hence, **Option C** 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