In a normal distribution, about _% of the data lie within 1 standard deviation below and 2 standard deviations above the mean

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Scott Sherwood · Answer 1 · 2023-12-09T05:38:15+0000

ANSWER

81.8%

Step-by-step explanation

The percentage of data that lies between 1 standard deviation below and 2 standard deviations above the mean is the sum of the percentages between those two values,

So this is,

$34.1\%+34.1\operatorname{\%}+13.6\operatorname{\%}=81.8\operatorname{\%}$

Hence, 81.8% of the data lies within 1 SD below and 2 SD above the mean.

In a normal distribution, about _% of the data lie within 1 standard deviation below-example-1

In a normal distribution, about _% of the data lie within 1 standard deviation below and 2 standard deviations above the mean

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