the blood platelet counts of a group of women have a bell-shaped distribution wi
ID: 3352682 • Letter: T
Question
the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 258.2 and a standard deviation of 61.5 all units are 1000 cells per unit. Using the empirical rule find each approximate percentage below. a. What is the approximate percentage of women with pallet counts within two standard deviations of the mean or between 135.2 and 381.2. B. What is the approximate percentage of women with pallet count between 196.7 and 319.7? approximately what percent of women in this group have pallet cones within two standard deviations of the mean or between 135.2 and 381.2
Explanation / Answer
The emperical rule states that 68%, 95% and 99.7% of the observations lie within 1,2 and 3 standard deviations from the mean respectively, for a normally distributed dataset.
A) Approximate percentage of women with pallet counts within 2 standard deviations of mean = 95%
B) 258 - 61.5 = 196.7
258 + 61.5 = 319.7
So, 196.7 and 319.7 are within 1 standard deviation of mean.
Percentage of women with pallet count between 196.7 and 319.7 = 68%
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