Area covered by normal distribution curve

CMAT 2019 · Quantitative Techniques & Data Interpretation · Medium · Statistics

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

  1. A.

    99.73%

  2. B.

    99.99%

  3. C.

    99.999666%

  4. D.

    99.9999%

Answer

C

Explanation

As per empirical rule in statistics, μ±3σ\mu \pm 3\sigma covers approximately 99.73%99.73\% of the data, and μ±6σ\mu \pm 6\sigma covers approximately 99.999666%99.999666\% of the data.

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