Answer :
Approximately 100% of the values in the normal distribution with a mean of 115 and a standard deviation of 4.4 are above 27.
To find the percentage of values above 27 in a normal distribution with a mean (µ) of 115 and a standard deviation (σ) of 4.4, we can use the 68-95-99.7 rule, also known as the empirical rule. According to this rule:
- Approximately 68% of the values fall within one standard deviation above and below the mean.
- Approximately 95% of the values fall within two standard deviations above and below the mean.
- Approximately 99.7% of the values fall within three standard deviations above and below the mean.
Since 27 is significantly lower than the mean (115), it falls far beyond three standard deviations below the mean. Therefore, virtually all (approximately 100%) of the values in the distribution are above 27.
