Answer:
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