Exam 3: Descriptive Measures

Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations. -The manager of a small dry cleaner employs six 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 six distances are listed below. 12.7 24.5 40.4 30.8 22.5 15.6

The normal annual precipitation (in inches)is given below for 21 different U.S. cities. 39.1 32.8 18.5 35.2 27.1 27.8 8.6 23.4 42.6 34.7 20.4 12.0 5.1 14.3 22.5 10.9 15.9 25.4 17.2 14.6 51.7

A machine fills bottles with juice. The average amount filled in the bottles is 16 ounces; however this amount varies slightly from bottle to bottle. The manufacturer is interested in knowing how much the amount of juice varies from bottle to bottle. How could the manufacturer obtain an estimate of the population standard deviation $\sigma$ ?

Explain the difference between the interquartile range and the range. Which is more sensitive to extreme values? Explain your thinking.

Solve the problem. -The boxplots display case prices (in dollars)of white wines produced by three vineyards in the western United States. Describe these wine prices.

Find the mode(s)for the given sample data. --20, -24, -46, -24, -49, -24, -49

Solve the problem. If necessary, round your answer to one more decimal place than that used for the observations. -Let $x _ { 1 } = 11 , x _ { 2 } = 15 , x _ { 3 } = 2 , x _ { 4 } = 15$ , and $x _ { 5 } = 1$ . Find $n _ { \text {. } }$ .

Solve the problem. If necessary, round your answer to one more decimal place than that used for the observations. -The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find $\sum \mathrm { x } _ { \mathrm { i } }$ . 467 493 622 365 371 405 539 567 639 448 482

Obtain the five-number summary for the given data. -Here are the average mathematics achievement scores for ninth graders in 32 counties. 594585574572569565564560 536534531528525524519510 499480478475471465458447 422410409389380382355327

Solve the problem. If necessary, round your answer to one more decimal place than that used for the observations. -A sample of non-recyclable waste shipping companies in a certain state yielded the following amounts, in tons, of waste shipped during 2005. Determine $n , \sum \mathrm { x } _ { i }$ , and $\bar { x }$ . 1662 480 877 789 852 1770 592 1262 421 612 769 826

Identify potential outliers, if any, for the given data. -Here are the highest temperatures ever recorded (in °F)in 32 different U.S. states: 100100105105106106107107 108110110112112112114114 114115116117118118118118 118119120121122125128134

In Mary's first math test she scored 87%. The mean and standard deviation for the class were 71% and 18% respectively. In her second math test, Mary scored 66%. The mean and standard deviation for the class were 53% and 14% respectively. In which test did Mary do better relative to the rest of the class? Explain your reasoning. (Hint: find the z-scores corresponding to her two test scores.)

Obtain the five-number summary for the given data. 2, 3, 5, 8, 10

Obtain the five-number summary for the given data. -Here are the average mathematics achievement scores for ninth graders in 34 counties. 602588587586582580561555551 548542540538537534532527522 515512501498493489485480465 462458444435431407372

Provide an appropriate response. -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 it is at least three standard deviations above or Below the mean. Round the z-score to one decimal place, if necessary. 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 sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations. -15, 42, 53, 7, 9, 12, 14, 28, 47

Identify potential outliers, if any, for the given data. -The test scores of 15 students are listed below. 33 42 56 65 66 68 71 72 75 77 78 82 87 90 99

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. 55 64 68 56 64 58 64 57 51

Dave is a college student contemplating a possible career option. One factor that will influence his decision is the amount of money he is likely to make. He decides to look up the average starting salary of graduates in that profession. Which information would be most useful to him, the mean starting salary, the median starting salary, or the mode of the starting salaries? Why?

Determine the quartile or interquartile range as specified. -The weekly salaries (in dollars)of sixteen government workers are listed below. Find the first quartile, $Q _ { 1 }$ 690 598 813 659 728 557 477 639 526 669 685 464 545 787 511 826