# The data set has mean 25 and standard deviation 5. Fill in the following blanks:a. Approximately 68% of the observations lie between _______ and _______.b. Approximately 95% of the observations lie between _______and _______.c. Approximately 99.7% of the observations lie between _______and _______.

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The data set has mean 25 and standard deviation 5. Fill in the following blanks:

a. Approximately 68% of the observations lie between _______ and _______.
b. Approximately 95% of the observations lie between _______and _______.
c. Approximately 99.7% of the observations lie between _______and _______.

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Step 1

a)

According to empirical rule approximately 68% of observations lie within one standard deviation to either side of the mean.

Step 2

Calculating the one standard deviations to either side of mean is,

Step 3

b)

According to empirical rule approximately 95% of observations lie within two standard deviation to eit...

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