SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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1 Math 1342 Review Ch. 1-3 Name 1) Statistics is the science of conducting studies to 1) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 2) Which of the following correctly describes the relationship between a sample and a population? A) A sample is a group of populations that are subject to observation. B) A population and a sample are not related. C) A sample is a group of subjects selected from a population to be studied. D) A population is a group of samples that may or may not be included in a study. 3) Based on her electric bills from last year, Mrs. Smith expects she will be paying $75/month this year. This is an example of descriptive statistics. A) True B) False 4) Determine which of the following describes quantitative data. i). the length of an object in feet ii). the speed of an object in meters per second iii). the number of objects that are blue A) i, ii, and iii B) i only C) iii only D) i and ii only 2) 3) 4) 5) Give the boundaries of the given value ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 6) The names of all 106 students in a professor's class are written on identical slips of paper, and the slips are placed into a large glass jar. Then, the professor selects 11 random slips from the jar. Identify the kind of sample that is being used. A) systematic sample B) sample of convenience C) cluster sample D) simple random sample 6) 7) For the class 5-19, the upper class limit is 7) 8) What is the midpoint of the class 17 20? 8) 1

2 9) A recent statistics exam yielded the following 25 scores. Construct a grouped frequency distribution with the class limits shown below. 9) Class Limits Tally Frequency ) Construct a frequency polygon from the following frequency distribution. Temperature Frequency ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 11) An ogive is also called a cumulative frequency graph. A) True B) False 11) 12) Which type of graph represents the data by using vertical bars of various heights to indicate frequencies? 13) Given the following frequency distribution, how many pieces of data were less than 28.5? Class Boundaries Frequencies ) 13) 2

3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 14) Classify the histogram as skewed to the left, skewed to the right, or approximately symmetric. 14) A) approximately symmetric B) skewed to the left C) skewed to the right 15) The following frequency distribution presents the weights in pounds (lb) of a sample of visitors to a health clinic. 15) Construct a frequency histogram. 3

4 16) A sample of 200 high school students were asked how many hours per week they spend watching television.the following frequency distribution presents the results. 16) Construct a frequency ogive for the frequency distribution. 4

5 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 17) The following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. 17) Vehicle Type Frequency Motorcycle 9 Sedan 20 SUV 25 Truck 39 Construct a pie chart for the data. A) B) C) D) 18) Construct a Pareto chart for the following distribution: 18) Year in School Number of Students Freshmen 28 Sophomores 14 Juniors 40 Seniors 18 5

6 ESSAY. Write your answer in the space provided or on a separate sheet of paper. 19) The following information shows the colors of cars preferred by customers. Draw a pie graph and indicate how many degrees that black represents in a pie graph? Color Number Red 50 Black 60 White 30 Green 20 Blue 40 20) Given the following two sets of data, draw a back-to-back stem and leaf plot. A - 12, 22, 22, 24, 34, 31, 26, 35, 27, 39, 49, 10 B - 45, 36, 23, 16, 37, 28, 18, 13, 10, 23, 30, 31 20) 21) Construct a dotplot for the following data. 21) 22) Which of the following is the properly rounded mean for the given data? 7, 8, 13, 9, 10, 11 23) What is the median of the following data set? 6, 9, 13, 14, 18 24) Find the median for the following data set: ) What is the mode of the following data set? 5, 19, 17, 13, 17, 15, 12 26) Find the mean, mode, median, and midrange for the following data set. 12, 15, 18, 18, 15, 22, 15, 30, 12 22) 23) 24) 25) 26) 6

7 27) A random sample of weights (in carats) of sapphires in a jeweler's collection is shown. Find the mean of the sample. 27) Class Boundaries Frequency ) Find the median of the data in the following stem-and-leaf plot. The leaf represent the ones digit. 28) 29) The range of the following data set is. 29) 9, 5, 14, 24, 12 30) Find the sample standard deviation for the following data set: 30) ) The costs per load (in cents) of 47 dish-washing detergents tested by a consumer organization are shown here. Find the standard deviation of the sample. 31) Class limits Frequency ) Following are heights, in inches, for a sample of college basketball players. 32) Find the sample standard deviation for the heights of the basketball players. 7

8 33) A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately bell-shaped. Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons. 34) According to Chebyshev's theorem, the maximum proportion of data values from a data set that are more than 1.5 standard deviations from the mean is. 33) 34) 35) If a set of data has mean 12 and variance 16, then it's coefficient of variation is. 35) 36) A data set has a mean of 177 and a standard deviation of 20. Compute the coefficient of variation. 36) 37) For the data set below, find the first quartile. 37) 38) For the data set below, find the IQR. 38) 39) A population has a mean μ = 21 and standard deviation σ = 11. Find the z-score for a population value of ) A population has a mean μ = 23 and standard deviation σ = 10. What number has a z-score of 2.5? 41) Given the following data set, find the approximate value that corresponds to the 75th percentile. 10, 44, 15, 23, 14, 18, 72, 56 39) 40) 41) 42) For the data set below, find the outlier(s). 42) 43) Make a boxplot for the following data set. 43) 24, 15, 34, 92, 68, 34, 78, 45, 53, 67, 83, 46 8

9 Answer Key Testname: REVIEW CH.1 3 1) collect, organize, summarize, analyze, and draw conclusions from data. 2) C 3) B 4) A 5) ) D 7) 19 8) ) 10) Class Limits Frequency ) A 12) histogram 13) 25 14) B 15) 9

10 Answer Key Testname: REVIEW CH ) 17) C 18) 19) 10

11 Answer Key Testname: REVIEW CH ) 21) 2, 0 7, 6, 4, 2, 2 9, 5, 4, , 3, 6, 8 3, 3, 8 0, 1, 6, ) ) 13 24) 19 25) 17 26) mean = 17.4 mode = 15 median = 15 midrange = ) ) 26 29) 19 30) ) ) 6 33) 68% 34) ) 33.3% 36) ) 65 38) 9 39) ) 48 41) 50 42) 123 and

12 Answer Key Testname: REVIEW CH ) (15, 34, 49.5, 73, 92) 12