Which of the following is FALSE regarding standard normal distribution?

-The mean is = to 0
-The standard deviation is = to 1
-The variance is = to 1
-the total area under the curve is 1
-97% of the data lies within 3 standard deviations of the mean

Question

Which of the following is FALSE regarding standard normal distribution?

-The mean is = to 0
-The standard deviation is = to 1
-The variance is = to 1
-the total area under the curve is 1
-97% of the data lies within 3 standard deviations of the mean

tkhunny · Answer

What do you think?

1, 2, and 4 are pretty good.  How about 3 and 5?

anonymous · Answer

97% of data is pretty reasonable to deviate from the mean so would the incorrect choice be the third?

tkhunny · Answer

We don't normally see the Variance of the Normal Distribution.  Most will probably find that strange-sounding.  However, that is not it...

The "Empirical Rule" is 68-95-99.7, meaning

+/- 1 Standard deviation contains close to 68%
+/- 2 Standard deviation contains close to 95%
+/- 3 Standard deviation contains close to 99.7%

No 97s in there!

anonymous · Answer

I see, thanks for the explanation :)