The blood platelet counts of a group of women have a bell-shaped distribution with a mean of252.4and a standard deviation of62.1.(All units are 1000cells/μL.)Using the empirical rule, find each approximate percentage below.a.What is the approximate percentage of women with platelet counts within1standarddeviationof the mean, or between190.3and314.5?b.What is the approximate percentage of women with platelet counts between128.2and376.6?

Let X denote the blood platelet counts of a group of women. Given that X follows N(mean = 252.4, SD…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The blood platelet counts of a group of women have a bell-shaped distribution with a mean of

252.4

and a standard deviation of

62.1.

(All units are 1000

cells/μL.)

Using the empirical rule, find each approximate percentage below.

a.	What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 190.3 and 314.5?
b.	What is the approximate percentage of women with platelet counts between 128.2 and 376.6?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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