Question

*Data Set Listed Below*

1. Use the sample mean and standard deviation to find the values related to the Empirical Rule.

         The Empirical Rule: For a set of data whose distribution is approximately normal,

• about 68% of the data are within one standard deviation of the mean.
• about 95% of the data are within two standard deviations of the mean.
• about 99.7% of the data are within three standard deviations of the mean.

Use the value of n and the percents listed above to find how many data values should be within each category. Then use the sample mean and standard deviation to find the lower and upper cut-off values in each category. Then use the sorted list of data to determine how many values are actually in each category. Put the values into a table as shown in the example and label it “Table 5: The Empirical Rule.”

31.0	34.9	31.4	27.4	37.6	38.2
32.8	32.0	26.4	32.3	33.9	21.4
34.7	33.3	39.5	32.5	29.1	28.0
34.9	33.5	26.9	38.4	17.9	28.9
30.8	31.3	33.8	31.6	33.7	38.3
38.3	28.2	39.0	29.1	41.1	23.6
31.6	29.3	29.2	25.8	38.6	27.2
31.1	34.0	29.3	28.3

Answer 1