9. which of the following is true? ( 5 points) a. for a data set with mean = 25 pounds and standard deviation = 2 pounds then 95% of the data is between 23 pounds and 27 pounds. b. for a data set with mean = 25 pounds and standard deviation = 3 pounds then 95% of the data is between 22 pounds and 28 pounds. c. for a data set with mean = 25 pounds and standard deviation = 3 pounds then 65% of the data is between 19 pounds and 31 pounds. d. for a data set with mean = 25 pounds and standard deviation = 3 pounds then 95% of the data is between 19 pounds and 31 pounds.

For a data set with mean = 25 pounds and Standard Deviation = 3 pounds then 95% of the data is between 19 pounds and 31 pounds.

Step-by-step explanation:

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,

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

For Mean =

Standard deviation =

So,  95% of data lies between:to

95% of data lies between:to

For Mean =

Standard deviation =

So,  95% of data lies between:to

95% of data lies between:to

So, Option D is true

For a data set with mean = 25 pounds and Standard Deviation = 3 pounds then 95% of the data is between 19 pounds and 31 pounds.