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The data set has size 60. Approximately how many observations lie within three standard deviations to either side of the​ mean?

Question

The data set has size 60. Approximately how many observations lie within three standard deviations to either side of the​ mean?

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Step 1

From the empirical rule

68% of data lies in
95% of data lies in
99.7% of data lies in
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68% of data lies in 95% of data lies in 99.7% of data lies in

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Step 2

So, from Empirical Rule of 99.7...

So, from Empirical Rule of 99.7% of data
99.7
x 60 59.82
99.7% of 60 =
60
100
So, 60 observations lie on either side of the mean in three standard deviation
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So, from Empirical Rule of 99.7% of data 99.7 x 60 59.82 99.7% of 60 = 60 100 So, 60 observations lie on either side of the mean in three standard deviation

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