Exam 3: Describing, Exploring, and Comparing Data

Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 years and for a sample of men aged 60-69 years. Men aged 20-29: 117 122 129 118 131 123 Men aged 60-69: 130 153 141 125 164 139 Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one Decimal place.

An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm) of randomly selected adult males based on data gathered: 173 179 207 158 196 195 214 199 Define this data set as discrete or continuous. The hand lengths is what type of level of measurement? Compare the mean and median for this data set and if you can draw any conclusions from these values.

Find the median for the given sample data. -The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.88 1.29 0.76 1.62 0.72 0.81 1.20 1.29 1.53 0.91 0.88 1.48 1.17 0.64 0.47 1.48 0.81 1.17 1.72 0.72 0.56

Provide an appropriate response. -In a data set containing n values, the 67th percentile can be found as follows: $\mathrm { P } _ { 67 } = \frac { 67 } { 100 } \cdot \mathrm { n } .$ True or false?

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z score.

A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Salary (dollars) Employees 5,001-10,000 19 10,001-15,000 14 15,001-20,000 12 20,001-25,000 16 25,001-30,000 19

Find the number of standard deviations from the mean. Round your answer to two decimal places. -The annual snowfall in a town has a mean of 35 inches and a standard deviation of 11 inches. Last year there were 60 inches of snow. How many standard deviations from the mean is that?

Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. -The heights in feet of people who work in an office are as follows. 5.8 5.9 6.1 5.4 6.0 5.8 5.9 6.2 5.7 5.8

Find the midrange for the given sample data. -Bill kept track of the number of hours he spent exercising each week. The results for 15 weeks are shown below. Find the midrange. 7.1 6.8 7.1 7.2 7.8 7.9 6.5 8.4 8.5 7.2 8.5 6.8 7.9 9.0 7.8

Find the standard deviation of the data summarized in the given frequency distribution. -The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the standard deviation. Round your answer to one decimal place. Height (in.) Frequency 70-71 3 72-73 7 74-75 16 76-77 12 78-79 10 80-81 4 82-83 1

Carbon monoxide is measured in one city for five different days. The mean of those values is 0.62 parts per million. Four of the values (in parts per million) are 0.3, 0.4, 1.1, and 0.7. Find the missing value. If n is the number of values, how many of the n values can be freely assigned before the remaining values are determined? What is that called?

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's center is 6.9 feet tall. Find the center's z score. Is his score unusual?

Provide an appropriate response. -When finding percentiles, if the locator L is not a whole number, one procedure is to interpolate so that a locator of 23.75, for example, leads to a value that is 3/4 of the way between the 23rd and 24th scores. Use this method Of interpolation to find P75 for the set of test scores below. 51 54 64 68 72 74 76 83 94 94 99

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -In the Florida lottery, the numbers (between 1 and 49) are generated randomly with the expectation that each number has an equal chance of winning. Draw a boxplot which should illustrate the data set of all numbers picked for the lottery during the past year.

Six college buddies bought each other Christmas gifts. They amounts they spent are shown below. \ 287.01 \ 297.04 \ 290.47 \ 189.34 \ 148.59 \ 274.76 What was the mean amount spent? Round your answer to the nearest cent.

Find the indicated measure. -The test scores of 32 students are listed below. Find Q3. 32 37 41 44 46 48 53 55 56 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 80 82 83 86 89 92 95 99

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -The weights (in ounces) of 27 tomatoes are shown below. Construct a boxplot for the data set. 2.0 2.1 2.2 2.2 2.4 2.4 2.5 2.5 2.5 2.6 2.6 2.7 2.7 2.7 2.7 2.8 2.8 2.8 2.9 2.9 3.0 3.0 3.0 3.1 3.1 3.2 3.4

Find the number of standard deviations from the mean. Round your answer to two decimal places. -The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the Mean is that?

Use the empirical rule to solve the problem. -The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $12. What percentage of her phone bills are between $19 and $91?

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. -The numbers listed below represent the amount of precipitation (in inches) last year in six different U.S. cities. 14.7 15.1 31.6 42.6 17.7 18.8