The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.9 and a standard deviation of 69.3 (all units are 1000 cells/l.) 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 177.6 and 316 2? b. what is the approximate percentage of women with platelet counts between 39.0 and 454.8? a. approximately % of women in this group have platelet counts within 1 standard deviation of the moan, or between 177.6 and 316.2. (type an integer or a decimal. do not round.)

The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 177.6 and 316.2 is 68%.

The approximate percentage of women with platelet counts between 39.0 and 454.8 is 99.7%

Step-by-step explanation:

Mean :

Standard deviation :

Empirical rule :

1 ) 68% of the data lies within 1 standard deviation of mean  

This means 68% of data lies between: to

2) 95% of the data lies within 2 standard deviation of mean  

This means 95% of data lies between: to

3) 99.7% of the data lies within 3 standard deviation of mean

This means 99.7% of data lies between: to

Now to find the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 177.6 and 316. 2

Use rule 1: to

to

to

So, according to rule 1, 68% of the data lies within 1 standard deviation of mean i.e. 68% of the data lies between 177.6 and 316.2.

Now to find  the approximate percentage of women with platelet counts between 39.0 and 454.8?

Use rule 3: to

to

to

So, According to rule 3 : 99.7% of the data lies within 3 standard deviation of mean  i.e. 99.7% of data lies between  39.0 and 454.8

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step-by-step explanation:

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