# Question

Refer to the exam scores displayed in Exercise 3.98.

In exercise

a. Use the empirical rule to estimate the percentages of the observations that lie within one, two, and three standard deviations to either side of the mean.

b. Use the data to obtain the exact percentages of the observations that lie within one, two, and three standard deviations to either side of the mean.

c. Compare your answers in parts (a) and (b).

d. Construct a histogram or a stem-and-leaf diagram for the exam scores. Based on your graph, comment on your comparisons in part (c).

e. Is it appropriate to use the empirical rule for these data? Explain your answer.

In exercise

a. Use the empirical rule to estimate the percentages of the observations that lie within one, two, and three standard deviations to either side of the mean.

b. Use the data to obtain the exact percentages of the observations that lie within one, two, and three standard deviations to either side of the mean.

c. Compare your answers in parts (a) and (b).

d. Construct a histogram or a stem-and-leaf diagram for the exam scores. Based on your graph, comment on your comparisons in part (c).

e. Is it appropriate to use the empirical rule for these data? Explain your answer.

## Answer to relevant Questions

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