a.What is the approximate percentage of women with platelet counts within 1 standard deviationof the mean, or between196.2 and 326.8?b.What is the approximate percentage of women with platelet counts between 130.9and 392.1? The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 261.5 and a standard deviation of 65.3. (All units are 1000 cells/µL.) Using the empirical rule, find each approximatepercentage below.a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 196.2 and 326.8?b. What is the approximate percentage of women with platelet counts between 130.9 and 392.1?a. Approximately % of women in this group have platelet counts within 1 standard deviation of the mean, or between 196.2 and 326.8.(Type an integer or a decimal. Do not round.)

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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 8E

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a.	What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between196.2 and 326.8?
b.	What is the approximate percentage of women with platelet counts between 130.9and 392.1?

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 261.5 and a standard deviation of 65.3. (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 196.2 and 326.8?
b. What is the approximate percentage of women with platelet counts between 130.9 and 392.1?
a. Approximately % of women in this group have platelet counts within 1 standard deviation of the mean, or between 196.2 and 326.8.
(Type an integer or a decimal. Do not round.)

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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