1Based on the empirical rule if lengths of Jellyblubbers hav

1-Based on the empirical rule, if lengths of Jellyblubbers have a mound-shaped distribution with a mean of 19.4 mm and a standard deviation of 6 mm, then 95% of Jellyblubbers are expected to have lengths between mm and mm.

2-

Sam earned the following scores on unit tests for the trimester:

92, 98, 15, 92, 87, 92

Sam\'s teacher said that his grade would be based on the mean of his grades. Sam argued that his grade should be based on the median score of his grades.

1. What are the average and median scores?

2. Which do you think best reflects Sam\'s work for the term? Explain.

Solution

1.

By empirical rule, 95% are between 2 standard deviations above or below the mean.

Hence, the bounds are

lower bound = u - 2*sigma = 19.4 - 2*6 mm = 7.4 mm
upper bound = u + 2*sigma = 19.4 + 2*6 mm = 31.4 mm

Thus, betwwen 7.4 and 31.4 mm. [ANSWER]

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