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

ID: 3351907 • Letter: T

Question

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

247.6

and a standard deviation of

68.3

(All units are 1000

cells/muL.)

Using the empirical rule, find each approximate percentage below.

deviationsdeviations

111.0

384.2?

179.3

315.9?

What is the approximate percentage of women with platelet counts within

standard

deviationsdeviations

of the mean, or between

111.0

and

384.2?

What is the approximate percentage of women with platelet counts between

179.3

and

315.9?

a) By the Empirical rule, 95% of data lies between 2 SD from the mean.

Hence,

Approximate percentage of women with platelet counts within 2 SD of the mean = 95%

b) 179.3 and 315.9 are 1 SD away from the mean and as per empirical rule,

68% of data lies between 1 SD from the mean.

Hence,

Approximate percentage of women with platelet counts between 179.3 and 315.9 = 68%

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