This discussion will require students to post an example of data that illustrate

Question

This discussion will require students to post an example of data that illustrates the empirical rule.

"In most data sets, a large portion of the values tend to cluster somewhere near the median...In symmetrical data sets, where the median and mean are the same, the values often tend to cluster around the median and mean, producing a bell-shaped normal distribution...
The empirical rule states that for population data that form a normal distribution (bold itallcs added), the following are true:

Approximately 68% of the values are within ± 1 standard deviation from the mean.

Approximately 95% of the values are within ± 2 standard deviations from the mean.

Approximately 99.7% of the values are within ± 3 standard deviations from the mean.

The empirical rule helps you examine variability in a (normal) population..." (p. 122)

Instructions

Describe an example (your example) using an assumed mean and an assumedstandard deviation to illustrate the ranges of their normal distribution

Explanation / Answer

Lets suppose that the number of visitors to a park at a certain hour of the day is 200. The average time spent by a person in the park is 25 minutes with a standard deviation of 6 minutes. Then the ranges of normal distribution according to the empirical rule are

About 68% of the people spend time in the range of [25 - 1(6)] and [25 + 1(6)] = (19, 31)

About 95% of the people spend time in the range of [25 - 2(6)] and [25 + 2(6)] = (13, 37)

About 99.7% of the people spend time in the range of [25 - 3(6)] and [25 + 3(6)] = (7, 43)

Please like my answer.

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