CMAT 2019 Question Paper

Question 2

What is the area covered by a bell-shaped curve from —6 sigma to +6 sigma in normal distribution?

Solution

As per the empirical rule, approximately 99.7% of the data in a bell-shaped distribution lies within three standard deviations of the mean, or $$\mu \pm 3\sigma$$.  $$\mu \pm 6\sigma$$ will have approximately 99.99967% of the data. Hence, option C.


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