Given a normally distributed data set of 500 observations measuring tree heights in a forest,

what is the approximate number of observations that fall within two standard deviations

from the mean?

Since we have the normally distributed data set of the 500 observations. hence, according to the formula there will be 95% of the total observation within two standard deviations from the mean.

Hence, no. of observations will be = 95% of 500 = 95 * 5 = 475

Also remember standard deviation is (Xi-X') ²

The standard deviation is the measurement of the dispersion of the data set from the mean. And its quite important in Data science.

Explanation:

The answer is self explanatory.