Answer:
At least 89% of women have platelet counts that are within 3 standard deviations of the mean.
The minimum possible platelet count that is within 3 standard deviations of the mean is 58.6 and the maximum is 451.6.
Step-by-step explanation:
The Chebyshev Theorem states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 255.1
Standard deviation = 65.5
Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 3 standard deviations of the mean?
At least 89% of women have platelet counts that are within 3 standard deviations of the mean.
What are the minimum and maximum possible platelet counts that are within 3 standard deviations of the mean?
Minimum: 255.1 - 3*65.5 = 58.6
Maximum: 255.1 + 3*65.5 = 451.6
The minimum possible platelet count that is within 3 standard deviations of the mean is 58.6 and the maximum is 451.6.
