Answer:
96.25%
Explanation:
The empirical rule regarding mean and standard deviation is that
- Around 68% of scores are between 40 and 60.
- Around 95% of scores are between 30 and 70.
- Around 99.7% of scores are between 20 and 80.
Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values