The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 61.1. (all units are 1000 cells/mu l.) using the empirical rule, find each approximate percentage below.

a. what is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 126.3 and 370.7 ?

b. what is the approximate percentage of women with platelet counts between 65.2 and 431.8 ?

Question

Mathematics

Jairo Chen

21 August, 08:04

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 61.1. (all units are 1000 cells/mu l.) using the empirical rule, find each approximate percentage below.

a. what is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 126.3 and 370.7 ?

b. what is the approximate percentage of women with platelet counts between 65.2 and 431.8 ?

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Answers (1)

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Belle · Answer 1

A) 68% will fall within that range.

b) 99.7% will fall within that range.

The empirical rule states that 68% of data falls within one standard deviation of the mean; 95% falls within 2 standard deviations of the mean; and 99.7% fall within 2 standard deviations of the mean. For each one of these, subtract them from the mean and divide by 61.1 to see how many deviations away they are.