CA Foundation · Quantitative Aptitude · Theoretical Distributions
Which one of the following statements about the normal distribution curve is correct?
In a normal distribution the mean, median and mode are all equal and the curve is perfectly symmetric about this central value. It is asymptotic to the horizontal axis and has zero skewness, so statements about skewness or the curve touching the axis are incorrect.
- AMean, median and mode coincide and the curve is symmetric about the meanCorrect
- BThe mean is always greater than the median
- CThe curve touches the horizontal axis at mean plus 3 standard deviations
- DThe curve is positively skewed with a long right tail
Explanation
The normal curve is bell-shaped and perfectly symmetric, so the mean, median and mode are equal and lie at the centre. It never touches the horizontal axis; it is asymptotic. Its skewness is zero, so options claiming skewness or mean greater than median are wrong.
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