Exam 3: Numerically Summarizing Data

Provide an appropriate response. -To study the physical fitness of a sample of 28 people, the data below were collected representing the number of sit-ups that a person could do in one minute. 10 12 12 15 15 15 18 20 22 25 25 26 29 30 32 33 40 40 40 45 46 47 48 48 50 52 53 56 Determine the lower and upper fences. Are there any outliers according to this criterion

Determine the Median of a Variable from Raw Data -The commuting times (in minutes) of an employee for ten consecutive days are listed below. Find the median commute. 71 67 67 72 76 72 73 68 72 72

Compute the Range of a Variable from Raw Data -The April precipitation amounts (in inches) for 10 cities are listed below. Find the range of the data. 2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8

Provide an appropriate response. -Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the left

Compute the Standard Deviation of a Variable from Raw Data -8, 19, 20, 13, 14, 18, 19, 5, 10, 23

Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. -When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also given. Suppose a test-taker scored at the 59th percentile for their verbal grade and at the 28th percentile for their quantitative grade. Interpret these results.

Determine and Interpret Quartiles -The commute times (in minutes) of 30 employees are listed below. Find Q3. 31 41 45 48 52 55 56 56 63 65 67 67 69 70 70 74 75 78 79 79 80 81 83 85 85 87 90 92 95 99

Provide an appropriate response. -The distribution of salaries of professional basketball players is skewed to the right. Which measure of central tendency would be the best measure to determine the location of the center of the distribution

Provide an appropriate response. -The variance of a population is the arithmetic average of the squared deviations about the population mean.

Compute the Standard Deviation of a Variable from Raw Data -149, 106, 114, 293, 106, 162, 224, 226, 230

Provide an appropriate response. -Given the following five-number summary, find the interquartile range.

Provide an appropriate response. -The annual profits of five large corporations in a certain area are given below. Which measure of central tendency should be used \ 152,000 \ 160,000 \ 180,000 \ 150,000 \ 1,230,000

Determine and Interpret Quartiles -The one way distances from work (in miles) of 30 employees are listed below. Find Q1. 25 25 26 26.5 27 27 27.5 28 28 28.5 29 29 30 30 30.5 31 31 32 32.5 32.5 33 33 34 34.5 35 35 37 37 38 38

Approximate the Variance and Standard Deviation of a Variable from Grouped Data -For the following data set, approximate the sample standard deviation of emails per day. Emails (per day) Frequency 8-11 18 12-15 23 16-19 38 20-23 47 24-27 32

Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (in millions of dollars): Company A \ 71 Company F \ 24.9 Company B 61.9 Company G 24.4 Company C 56.6 Company H 23 Company D 56.3 Company I 22.5 Company E 29.2 Company J 20.3 Calculate the mean amount spent.

Determine the Mode of a Variable from Raw Data -The commuting times of ten employees (in minutes) are listed below. Find the mode score. 65 66 67 66 67 70 67 70 71 68

Determine the Mode of a Variable from Raw Data -Calculate the mean, median, and mode for the following sample: $5,10,6,11,1,1,10,1$

Use the Empirical Rule to Describe Data That Are Bell Shaped -The amount of television viewed by today s youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.

Use Chebyshev s Inequality to Describe Any Set of Data -Fill in the blank. ____________ is a method of interpreting the standard deviation that applies to data that have a bell-shaped distribution.

Determine and Interpret z-Scores -Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 79 and 4, respectively, and the distribution of scores is mound-shaped and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee s z-score.