CA Foundation · Quantitative Aptitude · Theoretical Distributions
For a normal distribution, which statement is correct?
In a normal distribution the mean, median and mode coincide and the curve is symmetric about the mean, with no skewness. Its mean deviation is about four-fifths of the standard deviation, so it does not equal it.
- AMean, median and mode are all equal and the curve is symmetric about the meanCorrect
- BMean is greater than median, which is greater than mode
- CThe curve is positively skewed with one tail longer
- DMean deviation about the mean equals the standard deviation
Explanation
The normal curve is bell-shaped and symmetric, so mean, median and mode coincide. It has zero skewness, so options 2 and 3 are wrong. Its mean deviation is about 0.8 times the standard deviation, not equal to it.
Did you get it right without looking?
One question tells you little. A timed set on Theoretical Distributions shows your real accuracy, how long you take and where you lose marks.
More Theoretical Distributions questions
- The monthly electricity consumption of households in a Jaipur colony is normally distributed with mean 200 units and standard deviation 40 u…
- The monthly electricity consumption of households in a Jaipur colony is normally distributed with mean 200 units and standard deviation 40 u…
- Which one of the following statements about the normal distribution curve is correct?
- A fair coin is tossed twice. If X denotes the number of heads, what are E(X) and Var(X)?
- Consider three distributions: (I) Binomial with n = 20, p = 0.5; (II) Poisson with mean 10; (III) Normal with mean 10 and variance 5. Which …
- A binomial variate has parameters n = 10 and p = 0.5. Which statement about its distribution is correct?