Find the mean for the group of data items. Round to the nearest hundredth, if necessary. 1) 5.7, 8.3, 4.1, 7.8, 5.7, 1.1, 5.7, 3.2, 3.2, 3.

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1 Redwood High School. Department of Mathematics Name: 0-06 Advanced Algebra Test S #7 Statistics Prep wkst v.0. Find the mean for the group of data items. Round to the nearest hundredth, if necessary. ).7, 8.,., 7.8,.7,.,.7,.,.,.7 ) Find the mean for the data items in the given frequency distribution. Round to the nearest hundredth, if necessary. ) ) Score Frequency x f Solve the problem. ) Six people from different occupations were interviewed for a survey, and their annual salaries were as follows: $,000, $0,000, $,000, $7,000, $67,00 and $,000. What is the median annual salary for the six people? ) Find the mode for the group of data items.if there is no mode, so state. ) 98, 98, 9,, 70, 98 ) For the given data set, find the a. mean b. median c. mode (or state that there is no mode) d. midrange. ) Ages of teachers in the mathematics department of a certain high school: ) 0,, 0, 6, 0,, 0, 6, 6, Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 6) Height (in inches) Class Frequency, f )

2 Use the given frequency distribution to construct a frequency histogram, and a frequency line histogram. 7) Height (in inches) 7) Class Frequency, f ) Kevin asked some of his friends how many hours they had worked during the previous week at their after-school jobs. The results are shown below Construct a frequency distribution. Use classes, a class width of hours, and a lower limit of for class. Hours Frequency 8) Provide an appropriate response. 9) One purpose of displaying data graphically is to provide clues about trends. The given values are weights (ounces) of steaks listed on a restaurant menu as "0 ounce porterhouse" steaks. The weights are supposed to be ounces because they supposedly lose an ounce when cooked. Create a frequency distribution with classes. Based on your distribution, comment on the advertised "0 ounce" steaks ) Construct a frequency table for the given data. 0) The following is the number of hours students studied per week on average. Use five intervals, starting with ) Provide an appropriate response. ) A student's score on the SAT- placement test for U.S. history is in the 90th percentile. What can you conclude about the student's test score? ) ) The numbers of home runs that Sammy Sosa hit in the first years of his major league baseball career are listed below. Make a stem-and-leaf plot for this data. What can you conclude about the data? )

3 ) The numbers of home runs that Barry Bonds hit in the first 8 years of his major league baseball career are listed below. Make a stem-and-leaf plot for this data. What can you conclude about the data? ) ) For the stem-and-leaf plot below, what is the maximum and what is the minimum entry? ) Key : = ) The numbers of home runs that Barry Bonds hit in the first 8 years of his major league baseball career are listed below. Find the mean and median number of home runs. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data? Explain your reasoning. ) Determine the five-number summary of the given data. 6) The weekly salaries (in dollars) of sixteen government workers are listed below. 6) ) The National Education Association collects data on the number of years of teaching experience of high-school teachers. A sample taken this year of 9 high-school teachers yielded the following data on number of years of teaching experience. 7)

4 Provide an appropriate response. 8) Without performing any calculations, use the stem-and-leaf plots to determine which statement is accurate. 8) (i) (ii) (iii) A) Data sets (i) and (iii) have the same range. B) Data set (ii) has the greatest standard deviation. C) Data set (i) has the smallest standard deviation. D) Data sets (i) and (ii) have the same standard deviation. 9) Here are the batting averages of Sammy Sosa and Barry Bonds for recent years. Which player is more consistent? Explain your reasoning. 9) Sammy Sosa Barry Bonds ) The test scores of 0 students are listed below. Find the five-number summary. 0) ) The weights (in pounds) of 0 preschool children are listed below. Find the five-number summary. ) ) Use the data to identify any outliers. ) ) Use the data to identify any outliers. )

5 ) Use the data to identify any outliers. ) ) Use the box-and-whisker plot below to determine which statement is accurate. ) A) About % of the adults have cholesterol levels of at most. B) One half of the cholesterol levels are between 80 and. C) One half of the cholesterol levels are between 80 and 97.. D) About 7% of the adults have cholesterol levels less than 80. Obtain the population standard deviation,, 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. 6) The number of years of teaching experience is given below for high-school teachers. 6) Use this graph to answer the question. Month 7) Which month in 989 had the lowest sales? 7) 8) Which month in 989 had the highest sales? 8) 9) What were the sales in month of 990? 9)

6 Use the data to make a frequency distribution table. 0) The following is the number of hours students studied per week on average. 0) Frequency Distribution Table Tally Frequency Provide an appropriate response. ) The cholesterol levels (in milligrams per deciliter) of 0 adults are listed below. Find the interquartile range for the cholesterol level of the 0 adults. ) ) Use the data to identify any outliers. ) ) The test scores of 0 students are listed below. Draw a box-and-whisker plot that represents the data. ) For the given data set, find the a. mean b. median c. mode (or state that there is no mode) d. midrange. ) A company advertised that, on the average, 97% of their customers reported "very high ) satisfaction" with their services. The actual percentages reported in samples were the following: 97, 97, 9, 9, 7, 97, 9, 7, 97, 97, 9, 9, 9, 97, 9 a. Find the mean, median, mode and midrange. b. Which measure of central tendency was given in the advertisement? c. Which measure of central tendency is the best indicator of the "average" in this situation? 6

7 Answer Key Testname: ADVALG S TEST STATS WKS V ).8 ) 6. ) $,000 ) 98 ) a.. b.. c. 0 d. 6) (a) (b) (c) ) 8) Hours Frequency ) Answers will vary. Possible answer: The frequency distribution shows that half of the cooked steaks are less than their advertised weights. 0) Interval Frequency ) The student's score was higher than the scores of 90% of the students who took the test. 7

8 Answer Key Testname: ADVALG S TEST STATS WKS V ) Key: 0 = Most of these years he hit 6 or more home runs. ) Key: 6 = Most of these years he hit between and 9 home runs. ) max: 7.7; min:. ) mean: 7; median:.; The median best represents the data because the mean is affected by the outlier (7) which causes a gap in the distribution. 6) 6,.0, 6.0, 709, 86 7), 6, 0, 9, 8) D 9) Sosa: x = 0.79 and s = 0.0; Bonds: x = 0. and s = Bonds is more consistent since his standard deviation is less. 0) Min =, Q = 8, Q = 7, Q = 8, Max = 99 ) Min =, Q = 8, Q = 0.7, Q =, Max = 8 ), ),, 9 ) 0, ) B 6) 8. 7) Month 8) Month 9) $70,000 0) Frequency:,,, 6, ) ) 7, 0 8

9 Answer Key Testname: ADVALG S TEST STATS WKS V ) ) a. mean = 8., median = 9, mode = 97, midrange = 68 b. mode c. mean 9