Math 116 - Chapter 3 review Name___________________________________Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations.1)Bill kept track of the number of hours he spent exercising each week. The results for four months are shownbelow. Find the mean number of hours Bill spent exercising per week.6.7 6.9 8.2 8.1 6.8 6.77.7 8.2 8.6 6.7 8.1 7.17.3 6.9 6.9 8.7 6.8 7.7Find the median for the given sample data.2)A new business had the following monthly net gains:$6672 $1098 $2681 $8310 $8059$3750 $1310 $8513 $5833 $5133Find the median net gain.Find the mode(s) for the given sample data.3)Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find themode(s).57 67 5951 55 6261 58 53Solve the problem.4)The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average overthe models it makes. Suppose that the mpg's for the five models of a manufacturer are 19, 21, 22, 28, and 18,and the government requirement is 24 mpg. The last of the models is to be redesigned to meet the governmentrequirement. What must the new mpg of this model be to meet the requirement?5)The mathematics SAT scores of the seven students in a mathematics seminar are 524, 559, 580, 586, 615, 628, and636. Suppose that the student with the score 524 drops the seminar and is replaced by a student with a score of782. What will happen to the mean and the median scores of the class?6)The mathematics SAT scores of the seven students in a mathematics seminar are 536, 551, 575, 596, 615, 625, and633. Suppose the student with the score 536 drops the seminar and is replaced by a student with a score that isa low-end outlier. What will happen to the mean and the median scores of the class?7)The host of a dinner party purchases wine based on the weighted average ofclarity (9%), bouquet (3%), friendliness to the palate (8%), storageability of opened bottles (40%), and price(40%). Suppose that Bone Ranch Wave has scores in these categories of 4, 5, 3, 8, and 9, respectively. What is itsrating?Provide an appropriate response.8)The mean of a data set is always/sometimes/never (select one) one of the data points in a set of data. Explainyour answer with brief examples.1Find the range for the given data.9)Jeanne is currently taking college economics. The instructor often gives quizzes. On the past five quizzes,Jeanne got the following scores:7 20 2 14 11Compute the range.Solve the problem.10)The following data set is the GPA's of the students in a statistics class.1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75,2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69What value is the 25th percentile?11)Suppose that your income is at the 69th percentile of wage earners in the United States. What percent of wageearners make more than you?Construct a box plot as requested.12)The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set.5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.66.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.27.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.13)The normal monthly precipitation (in inches) for August is listed for 12 different U.S. cities.3.5 1.6 2.4 3.7 4.1 3.91.0 3.6 4.2 3.4 3.7 2.2Compute the standard deviation.Identify potential outliers, if there are any, in the given data.14)The test scores of 15 students are listed below.36 54 53 65 6669 70 72 75 7778 82 87 90 99Provide the appropriate response.15)Describe what these boxplots tell you about the relationship between the state you live in and your salary,based on the same occupation.2Two statistics classes (50 students each) took the same test. Shown below are histograms of the scores for the classes. Usethe histograms to answer the question.16)Which class had the higher mean score?17)Which class has the smaller standard deviation?18)Which class had the higher median score?Use summary statistics to answer the question.19)Here are the summary statistics for the monthly payroll for an accounting firm: lowest salary = $30,000, meansalary = $70,000, median = $50,000, range = $120,000, IQR = $60,000, first quartile = $35,000, standard deviation= $40,000.Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain why.20)Here are the summary statistics for the monthly payroll for an accounting firm: lowest salary = $15,000, meansalary = $35,000, median = $25,000, range = $60,000, IQR = $30,000, first quartile = $17,500, standard deviation =$20,000.Between what two values are the middle 50% of the salaries found?21)Here are the summary statistics for the monthly payroll for an accounting firm: lowest salary = $60,000, meansalary = $140,000, median = $100,000, range = $240,000, IQR = $120,000, first quartile = $70.,000, standarddeviation = $80,000.Suppose that business has been good and the company gives every employee a $10,000 raise. Give the newvalue of each of the summary statistics.3Find the mean, median, mode, and midrange for each of the two samples, then compare the two sets of results.22)The Body Mass Index (BMI) is measured for a random sample of men and women. Interpret the results bydetermining whether there is a difference between the two data sets that is not apparent from a comparison ofthe measures of center. If there is, what is it?Men 24 23.5 20 27 29 22.5 28 24Women 18 20 24 25 27 21 22 25Find the mean of the data summarized in the given frequency distribution.23)The test scores of 40 students are summarized in the frequency distribution below. Find the mean score.Score Students50-59 1460-69 670-79 780-89 890-99 5Solve the problem.24)The data below consists of the heights (in inches) of 20 randomly selected women. Find the 10% trimmedmean of the data set. The 10% trimmed mean is found by arranging the data in order, deleting the bottom 10%of the values and the top 10% of the values and then calculating the mean of the remaining values.68 62 67 61 6565 70 67 62 6361 64 75 63 6059 64 68 65 71Find the range for the given data.25)Jeanne is currently taking college economics. The instructor often gives quizzes. On the past five quizzes,Jeanne got the following scores:5 20 4 14 12Compute the range.Find the variance for the