Math Classroom Activity Sheet (Page 3 of 4) in pdf

Math Classroom Activity Sheet Page 3

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Generate a histogram that displays the region from

in six equal

intervals of one standard deviation each. Label the boundary values for the

histogram along the horizontal axis. The chart has room to go ±4 standard

deviations away from the mean, just in case you have some outliers.

Use the chart in question 6 to find the percent of the total values that lie within 1, 2,

and 3 standard deviations of the mean and record them in the table.

Complete the table with the percent of values.

% of values

w/in 1 std. dev.

w/in 2 std. devs. w/in 3 std. devs.

Our sample data

. 68%

. 95%

. 99.7%

Empirical Rule

$ 75%

$ 88.9%

Chebyshev

Not Applicable

Compare our results with the theoretical values for the empirical rule and

Chebyshev's theorem. This empirical rule is only for unimodal, bell-shaped

data while Chebyshev's theorem is supposed to apply to any distribution.

yes

Does the Empirical Rule apply to our data?

yes

Is Chebyshev's Theorem true for our data?

Math Classroom Activity Sheet Page 3