In a standard normal distribution 95% of the data is within +/- _____ standard deviations of the mean.

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friedalafiesta friedalafiesta · Answer 1 · 2017-04-10T16:02:53+02:00

95% fall between -2 and 2 (within 2 standard deviations of the mean) .

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InesWalston InesWalston · Answer 2 · 2018-11-23T12:31:27+01:00

Answer-

In a standard normal distribution 95% of the data is within +/- 2 standard deviations of the mean.

Solution-

The Empirical Rule (68-95-99.7%)-

This rule tells us that

around 68% of the data will fall within one standard deviation of the mean
around 95% of the data will fall within two standard deviations of the mean
around 99.7% of the data will fall within three standard deviations of the mean.

Therefore, in a standard normal distribution 95% of the data is within +/- 2 standard deviations of the mean.