Exam 3: Numerically Summarizing Data

True or False: Variance is the square root of standard deviation.

The costs (in dollars) of 10 college math textbooks are listed below. Find the sample standard deviation.70 72 71 70 69 73 69 68 70 71

The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds wasexamined and the daily changes in price are listed below.0.05, 0.00, -0.03, -0.01, 0.18, 0.00, 0.02, 0.29, 0.00, -0.07, 0.10, 0.07, 0.03Determine the lower and upper fences. Are there any outliers according to this criterion?

In a health food store, Jenny and Kevin create a trail mix from dried fruit, nuts, and granola. They buy 5pounds of dried fruit at $4.00 per pound, 4 pounds of nuts at $5.00 per pound, and 2 pounds of granola at$3.50 per pound. Determine the cost per pound of the mix.

For the following data set, approximate the sample standard deviation of emails per day. Emails (per day) Frequency 8-11 18 12-15 23 16-19 38 20-23 47 24-27 32

Health care issues are receiving much attention in both academic and political arenas. A sociologist recentlyconducted a survey of citizens over 60 years of age whose net worth is too high to qualify for governmenthealth care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows: 68 73 66 76 86 74 61 89 65 90 69 92 76 62 81 63 68 81 70 73 60 87 75 64 82 Find Q1 of the data.

3, 3, 3, 17, 29, 29, 29

The one way distances from work (in miles) of 30 employees are listed below. Find the interquartile range ofthe 30 distances listed below. 25 25 26 26.5 27 27 27.5 28 28 28.5 29 29 30 30 30.5 31 31 32 32.5 32.5 33 33 34 34.5 35 35 37 37 38 38

Which is not a measure of dispersion?

The following data are the yields, in bushels, of hay from a farmerʹs last 10 years:375, 210, 150, 147, 429, 189, 320, 580, 407, 180.Find the IQR.

88, 87, 21, 86, 38, 44, 43, 47, 80

2.8, 5.8, 1.6, 4.4, 6.7, 3.8

For the following data set, approximate the sample standard deviation of unused vacation days. Days Frequency 1-2 9 3-4 12 5-6 8 7-8 5 9-10 4

The test scores of 30 students are listed below. Draw a boxplot that represents the data. 31 41 45 48 52 55 56 56 63 65 67 67 69 70 70 74 75 78 79 79 80 81 83 85 85 87 90 92 95 99

262, 296, 116, 174, 162, 287, 220, 287, 201

A student scores 56 on a geography test and 285 on a mathematics test. The geography test has a mean of 80and a standard deviation of 20. The mathematics test has a mean of 300 and a standard deviation of 10. If thedata for both tests are normally distributed, on which test did the student score better relative to the otherstudents in each class?

In distributions that are skewed to the left, what is the relationship of the mean, median, and mode?

Find the z-score for the value 96, when the mean is 92 and the standard deviation is 3.

For the following data, approximate the mean number of emails received per day. Emails (per day) Frequency 8-11 3 12-15 34 16-19 31 20-23 8 24-27 27

Jim buys his school supplies in bulk. On one particular shopping trip he bought 5 red pens at $1.29 each, 3 bluepens at $1.49 each, 6 green pens at $1.79 each and 9 black pens at $0.99 each. What was the average cost of apen?