The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 33 days and a standard deviation of 4 days.
The life spans of three randomly selected fruit flies are 34 days, 30 days, and 42 days. Find the z-score that corresponds to each life span.
When x = 34, z = (34-33)/4 = 0.25.
When x = 30, z = (30-33)/4 = -0.75
When x = 42, z = (42-33)/4 = 2.25
- Which of these life spans are unusual.
- How did you found which life span was considered unusual.
The life spans of three randomly selected fruit flies are 29 days, 41 days, and 25 days.
- Using the Empirical Rule, find the percentile that corresponds to each life span.
- What do the percentiles mean in each situation?