Exam 3: Descriptive Measures

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. 8.1 8.6 8.7 7.5 8.3 8.1 8.7 8.7 7.9 8.1 7.5 6.6 7.3 8.6 8.6 8.6 8.3 8.7

Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations. -2, 6, 15, 9, 11, 22, 1, 4, 8, 19

Provide an appropriate response. -A company's raw-data sample of weekly salaries (in dollars)is shown below. 280 320 590 320 730 590 320 590 280 320 1150 280 A frequency distribution of this data set, based on single-value grouping, is presented below, with a third column showing the xf-values--the class midpoint (which here is the same as the class) times the class frequency. Salary x Frequency f Salary Frequency xf 280 3 840 320 4 1280 590 3 1770 730 1 730 1150 1 1150

Determine the quartile or interquartile range as specified. -The test scores of 19 students are listed below. Find the interquartile range. 91 47 86 69 61 63 97 57 90 76 82 83 53 88 75 42 92 94 65

Solve the problem. -Here are boxplots of the points scored during the first 10 games of the basketball season for both Caroline and Alexandra. Summarize the similarities and differences in their performance so far.

Identify potential outliers, if any, for the given data. -The ages of the 21 members of a track and field team are listed below. 15 18 18 19 22 23 24 24 24 24 25 26 26 27 28 28 30 32 33 40 42

Find the range for the given data set. -The test scores of 19 students are listed below. 91 99 86 54 72 85 97 91 90 66 82 83 78 88 77 80 92 94 98

Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations. -22, 29, 21, 24, 27, 28, 25, 36

Provide an appropriate response. -Obtain the population standard deviation, Ϭ, for the given data. Assume that the data represent population data. Round your final answer to one more decimal place than that used for the Observations. The number of years of teaching experience is given below for 12 high-school teachers. 4 22 22 12 12 19 17 8 5 13 22 31

Provide an appropriate response. -Obtain the population standard deviation, Ϭ, for the given data. Assume that the data represent population data. Round your final answer to one more decimal place than that used for the Observations. The weekly salaries (in dollars)of seven government workers are listed below 847 512 707 535 564 758 902

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.

A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Salary Employees 5,000 -under 10,000 10 10,000 -under 15,000 17 15,000 -under 20,000 10 20,000 -under 25,000 19 25,000 -under 30,000 24

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.

Does the mode of a data set always lie near the center? Explain your answer and give an example of a data set to illustrate your answer.

Find the median for the given sample data. -1, 3, 10, 21, 30, 30, 49

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: \ 410 \ 377 \ 395 \ 114 \ 293 \ 169 \ 140 \ 224

Obtain the five-number summary for the given data. -The weights (in pounds)of 18 randomly selected adults are given below. 120 146 187 155 119 138 127 140 179 164 182 202 114 173 133 150 169 173

Identify potential outliers, if any, for the given data. -The weekly salaries (in dollars)of 24 randomly selected employees of a company are shown below. 310 320 450 460 470 500 520 540 580 600 650 700 710 840 870 900 1000 1200 1250 1300 1400 1720 2500 3700

Find the range for the given data set. -Here are costs (in dollars)of 12 electric smoothtop ranges. 845 970 635 545 1445 1070 670 745 780 1270 535 1045

Suppose that a state introduces a state income tax which will be at a flat rate of 3%. The state legislature wishes to estimate how much money they will receive in taxes, and to do this they need to know the average income of residents of the state. Which information would be most useful, the mean income, the median income, or the mode of the incomes? Why?