Question

According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall within two standard deviations around the mean.

Answer 1

95%

Explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

ii) 95% falls within two standard deviation

iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.