The left-hand "tail" of the standard normal curve can be defined as the part of it that lies at least two standard deviations to the left of the mean.

According to the Empirical Rule, approximately what percentage of the area under the whole curve is in the left-hand tail? Round your answer to the nearest tenth.

Question

Mathematics

Katelynn Odom

16 January, 16:41

The left-hand "tail" of the standard normal curve can be defined as the part of it that lies at least two standard deviations to the left of the mean.

According to the Empirical Rule, approximately what percentage of the area under the whole curve is in the left-hand tail? Round your answer to the nearest tenth.

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Answers (1)

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Juliet Dudley · Answer 1

Roughly 95% of the data lies within 2 standard deviations of the mean.

So (100% - 95%) / 2 = 2.5% of the data lies within each tail.

This means roughly 2.5% of the data is in the left hand tail.