A sample of 25 undergraduates reported the following dollar amounts of entertain

ID: 3178896 • Letter: A

Question

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

Find the mean, median and mode of this information. (Round your answers to 2 decimal places.)

What are the range and standard deviation? (Round your answers to 2 decimal places.)

Use the Empirical Rule to establish an interval which includes about 95 percent of the observations. (Round your answers to 2 decimal places.)

698 745 752 773 710 720 719 705 754 719 702 711 705 742 738 685 709 713 743 696 774 740 762 758 729

The statistical software output for required descriptive statistics of this problem is:

Summary statistics:

Hence,

a) Mean = $ 728.08

Median = $ 720

Mode = $ 705 and 719

b) Range = $ 89

Standard deviation = $ 25.28

c) According to Empirical rule, 95% of the observations lie within 2 standard deviations from the mean. So,

Interval will be:

728.08 - 2(25.28) to 728.08 + 2(25.28)

677.52 to 778.64

Hence,

The interval is from $ 677.52 to $ 778.64

Column Mean Median Mode Range Std. dev. Data 728.08 720 705, 719 89 25.278317

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