Question

compare chebyshevs rule and the empirical rule.
a. compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. comment on the differences.
b. compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. comment on the differences.
a. compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean.
using chebyshevs rule, find the estimate for the percentage of observations that lie within two standard deviations to either side of the mean.
at least 75% of the observations in any data set lie within 2 standard deviations to either side of the mean.
(type an integer or a decimal. do not round.)
using the empirical rule, find the estimate for the percentage of observations that lie within two standard deviations to either side of the mean.
% of the observations in any data set lie within 2 standard deviations to
al. do not round.)
at most
exactly
at least
approximately

Explanation:

Step1: Recall the empirical rule

The empirical rule for a normal - distributed data set states that approximately 95% of the data lies within 2 standard deviations of the mean.

Step2: Analyze the key - word for the empirical rule

The empirical rule gives an approximation for normal - distributed data. The key - word is "approximately".

Answer:

Approximately 95%