Chapter 3.2, Problem 3.22E

To determine

To calculate the proportion of the data that falls above than 100.

Answer to Problem 3.22E

84% of the values fall above than 100.

Explanation of Solution

Given:

Mean = 111

Standard deviation = 11

  

Concept used:

As per empirical rule

1. 68% of the data falls within one standard deviation from the mean.
2. 95% of the data falls within two standard deviations from the mean.
3. 99.7% of the data falls within three standard deviations from the mean.

Calculation:

100 is one standard deviation less than mean, the proportion that falls above than 100 is 34% + 50% = 84%.

Therefore, approximate 84% of the values fall above than 100.