Exam 3: Describing, Exploring, and Comparing Data

Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. -The following is a set of data showing the water temperature in a heated tub at different time intervals. 114.7 113.5 116.7 113.7 115.5 115.1 112.8 113.3

Find the variance for the given data. Round your answer to one more decimal place than the original data. -The normal monthly precipitation (in inches) for August is listed for 12 different U.S. cities. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.0 3.6 4.2 3.4 3.7 2.2

Find the number of standard deviations from the mean. Round your answer to two decimal places. -In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation of 1.7 pounds. Tyler consumed 11 pounds of sugar last year. How many standard deviations From the mean is that?

Find the mode(s) for the given sample data. -The weights (in ounces) of 14 different apples are shown below. 5.0 6.5 6.0 6.2 6.6 5.0 6.5 4.5 5.8 6.2 5.0 4.5 6.2 6.3

Find the midrange for the given sample data. - 1.6 2.3 3.1 1.0 1.2 3.8 1.7 3.5 2.2 2.9 1.7

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Construct a boxplot for the data set. 0.4 1.0 1.5 1.6 2.0 2.2 2.4 2.7 3.4 3.4 3.5 3.6 3.6 3.7 3.7 3.5 4.1 4.2 4.2 70

Find the mode(s) for the given sample data. - 94 33 32 33 29 94

Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. -A time for the 100 meter sprint of 14.9 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the standard deviation is 2.1 seconds.

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z = -1.5. What is her temperature? Round your answer to the nearest hundredth.

Solve the problem. Round results to the nearest hundredth. -A department store, on average, has daily sales of $28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score. Was Tuesday an unusually good Day?

Solve the problem. Round results to the nearest hundredth. -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?

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The distances for a Random sample of six employees are listed below: 26 32 29 16 45 19 Find the variance for the given data.

Solve the problem. -The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in meters) are listed below. 0.229 0.119 0.465 0.406 0.596 0.29

Find the indicated measure. -The weights (in pounds) of 30 newborn babies are listed below. Find $\mathrm { P } _ { 16 }$ 5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7

Find the variance for the given data. Round your answer to one more decimal place than the original data. - 7.9 8.8 1.9 3.1 2.5

Find the median for the given sample data. -The distances (in miles) driven in the past week by each of a company's sales representatives are listed below. 78 126 238 284 310 356 Find the median distance driven.

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Boxplots are graphs that are useful for revealing central tendency, the spread of the data, the distribution of the data and the presence of outliers. Draw an example of a box plot and comment on each of these characteristics as shown by your boxplot.

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -The ages of the 35 members of a track and field team are listed below. Construct a boxplot for the data set. 15 16 18 18 18 19 20 20 20 21 21 22 22 23 23 24 24 24 25 25 26 27 27 28 29 29 30 31 31 33 34 35 39 42 48

Find the midrange for the given sample data. -The weights (in ounces) of 18 cookies are shown. Find the midrange. 0.60 1.32 0.92 0.97 0.72 1.39 1.32 1.24 0.60 1.43 1.36 1.14 1.36 1.43 0.72 1.36 0.97 0.92

The textbook defines significantly low or high values as those data points with z scores less than z = -2.00 or z scores greater than z = 200. Comment on this definition with respect to Chebyshev's theorem; refer specifically to the percent of scores which would be defined as significant according to Chebyshev's theorem.