Answer:
b) 5% of the population lies in the tails, beyond 2 standard deviations from the mean
c) 68% of the population is within 1 standard deviation of the mean
e) 98% of the population lies within 3 standard deviations of the mean
Explanation:
Empirical rule:
- It states that almost all the data lies within three standard deviation of mean for a normal data.
- About 68% of data lies within one standard deviation of mean
- Around 95% of data lies within two standard deviation of mean.
- Around 98% of data lies within three standard deviation of man.
a) 95% of the populations lies in the tails, beyond 2 standard deviations from the mean
The given statement is false. 95% of data lies within two standard deviations from the mean
b) 5% of the population lies in the tails, beyond 2 standard deviations from the mean
The given statement is correct.
c) 68% of the population is within 1 standard deviation of the mean
The given statement is correct.
d) 68% of the population lies within 2 standard deviations above the mean
The given statement is false.
e) 98% of the population lies within 3 standard deviations of the mean
The given statement is true.
