Exam 3: Descriptive Measures

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. A weight of 238 pounds among a population having a mean weight of 162 pounds and a standard Deviation of 25.3 pounds.

Jason and Alex were the top two players in a tennis tournament. They dominated the competition with a record number of aces (an ace is valid serve that could not be returned by an opponent). The Following table provides the number of aces served by each of the two players during the five sets: Jason 3 4 3 3 4 Alex 6 5 2 3 1

Use the empirical rule to solve the problem. -The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old Women have a systolic blood pressure between 96 mmHg and 144 mmHg?

Solve the problem. -Scores on a test have a mean of 69 and a standard deviation of 11. Michelle has a score of 80. Convert Michelle's score to a z-score.

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -14, 11, 20, 14, 10

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -Frank's Furniture employees earned $340.75, $394.04, $256.06, $208.10, $212.99, and $423.99 last week. Find the mean wage of the employees. Round your answer to the nearest cent.

Find the median for the given sample data. -The salaries of ten randomly selected doctors are shown below. \ 148,000 \ 139,000 \ 168,000 \ 207,000 \ 214,000 \ 117,000 \ 124,000 \ 724,000 \ 218,000 \ 166,000

Which score has the highest relative position: a score of 39.8 on a test with a mean of 35 and a standard deviation of 6, a score of 4.4 on a test with a mean of 3.1 and a standard deviation of 1.2 A score of 513 on a test with a mean of 458 and a standard deviation of 55? (Assume that the Distributions being compared have approximately the same shape.)

Solve the problem. -The mean of a set of data is 4.66 and its standard deviation is 4.03. Find the z-score for a value of 8.83. Round your final answer to two decimal places.

Determine the quartile or interquartile range as specified. -The weekly salaries (in dollars)of sixteen government workers are listed below. Find the interquartile range. 787 630 820 670 475 617 534 661 580 691 875 520 593 460 560 490

Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations. -196, 205, 215, 185, 229, 278, 165

Determine the quartile or interquartile range as specified. -The test scores of 15 students are listed below. Find the first quartile, Q1 . 40 45 50 56 58 63 67 70 74 77 85 87 90 94 95

Obtain the five-number summary for the given data. -The test scores of 15 students are listed below. 42 47 48 54 59 63 64 68 72 79 85 87909495

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 n. 481 472 350 543 373 349 669 508 456 464 482 613 387 411 506

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. A test score of 93.4 on a test having a mean of 73 and a standard deviation of 12.

Find the population mean. Round to one decimal place as needed. $[0,5 , - 2,8]$

Find the range for the given data set. -A class of sixth grade students kept accurate records on the amount of time they spent playing video games during a one-week period. The times (in hours)are listed below. 21.7 21.9 8.1 25.4 25.9 30.6 18.7 22.7 21.2 26.3

Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale. Explain your reasoning.

A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is $18.5$ and the standard deviation of the annual precipitation amounts is 5.9. Let $x$ represent the annual precipitation in that city. Determine the standardized version of $x$ .

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities. Find the mean 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