Exam 3: Statistics for Describing, Exploring, and Comparing Data

Provide an appropriate response. -Describe how to find the percentile for a given score in a set of data. How does this process relate to the definition of a percentile score?

Find the median for the given sample data. -The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities. Find the median of the data. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6

Find the variance for the given data. Round your answer to one more decimal place than the original data. -The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m)are listed below. Compute the standard deviation s. 0.189 0.518 0.665 0.568 0.149 0.573 0.202

Provide an appropriate response. -The weights (in pounds)of 30 newborn babies are listed below. Construct a boxplot for the data set. 5.5 5.7 5.8 5.9 6.1 6.1 6.3 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

Provide an appropriate response. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Solve the problem. -The maximum value of a distribution is 14.4 and the minimum value is 4.9. Use the range rule of thumb to find the standard deviation. Round results to the nearest tenth.

Find the midrange for the given sample data. -3.8, 1.9, 8.8, 3.3, and 4.2

Provide an appropriate response. -Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

Find the mode(s)for the given sample data. -A meteorologist records the number of clear days in a given year in each of 21 different U.S. cities. The results are shown below. Find the midrange. 72 143 52 84 100 98 101 120 99 121 86 60 59 71 125 130 104 74 83 55 169

Solve the problem. -A distribution of data has a maximum value of 81, a median value of 55.5, and a minimum of 30. Use the range rule of thumb to find the standard deviation. Round results to the nearest tenth.

Provide an appropriate response. -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 variance for the given data. Round your answer to one more decimal place than the original data. -To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $\$ 293 \quad \$ 212 \quad \$ 440 \quad \$ 197 \quad \$ 446 \quad \$ 145 \quad \$ 342 \quad \$ 212$ Compute the standard deviation s.

Answer the question. -The distances traveled (in miles)to 7 different swim meets are given below: $15,30,30,44,60,70,79$ Find the median distance traveled.

Find the midrange for the given sample data. -15.0, 13.4, 14.0, 17.3, and 10.3

Solve the problem. Round results to the nearest hundredth. -The mean of a set of data is 337.65 and its standard deviation is 96.01. Find the z score for a value of 422.02.

Provide an appropriate response. -The two most frequently used measures of central tendency are the mean and the median. Compare these two measures for the following characteristics: Takes every score into account? Affected by extreme scores? Advantages.

Provide an appropriate response. -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.

Use the empirical rule to solve the problem. -At one college, GPA's are normally distributed with a mean of 2.7 and a standard deviation of 0.5. What percentage of students at the college have a GPA between 2.2 and 3.2?

Solve the problem. Round results to the nearest hundredth. -The mean height of a basketball team is 6.1 feet with a standard deviation of 0.2 feet. The team's center is 6.7 feet tall. Find the center's z score. Is his score unusual?

Find the mode(s)for the given sample data. - 49 52 52 74 67 55