# Discussion: Statistics Numerical analysis

Discussion: Statistics Numerical analysis ORDER NOW FOR CUSTOMIZED AND ORIGINAL ESSAY PAPERS ON Discussion: Statistics Numerical analysis 20 1 The data in a random sample of n = 6 is shown below. Compute the mean and then fill in the deviations column. Discussion: Statistics Numerical analysis x Deviation from the mean 19 54 15 50 28 32 The sum of deviations is. a 0 b 5 c 10 d 76 2 In the previous question, the sum of squared deviations is: a 1264 b 1268 c 1272 d 1276 3 In the previous question, the mean squared deviation for the sample data is: a 250.8 b 255.2 c 258.8 d 262.4 4 The variance of the data used for the previous three questions is: a 212.7 b 219.2 c 233.7 d 255.2 5 The mean a balances the number of observations on either side of mean value. b is always the central (or middle) data point. c is the center of gravity of the data. d balances the deviations of the data from the mean. e Both (c) and (d) are correct. 6 The following data is the grade point average (GPA) of five randomly selected E270 students. x 3.2 2.8 2.5 3.6 3.8 The variance of the sample is _______. a 0.210 b 0.234 c 0.292 d 0.321 7 Treat the set below as population data : x 114 84 152 195 105 85 The standard deviation is ________. a 39.57 b 41.55 c 43.62 d 45.80 Tom delivers packages for UPS. His daily mileage for a random sample of 10 days is as follows. x 42 51 32 31 58 54 62 43 38 54 8 The average daily miles Tom travels to deliver packages is ______. a 44.5 b 46.5 c 48.5 d 50.5 9 In the previous question, the sum of squared deviations of daily mileage is ________. a 979.7 b 1010.1 c 1060.5 d 1081.3 10 Using Toms daily mileage sample data, on average, Toms daily mileage deviates from the mean mileage by ________ a 9.12 miles b 9.86 miles c 10.03 miles d 10.86 miles 11 The following data represents the starting salaries for a sample of 42 students who graduated in 2014 with a bachelors degree in accounting. Data are in thousands of dollars: 53.9 54.5 59.3 60.3 63.4 64.8 58.5 55.5 68.4 57 68.8 62.7 50.4 48.3 42 63.5 61.3 57.9 45.1 62.8 45.3 49.1 41.1 53.9 40.5 49.8 44.1 61.1 56.9 64.5 46.6 57.1 59.3 46.7 65.8 67.1 40 60 62.2 63.6 52.2 57.6 Use Excel to expedite your calculations. Find the mean salary (x? = ______). Compute the sum of squares of the salary data (?x² = _______). The numerator of the quotient to compute the variance of the salary data is: _______. a ?x² = 125,620.9 Numerator of the variance quotient = 2,775.20 b ?x² = 128,184.6 Numerator of the variance quotient = 2,469.92 c ?x² = 130,800.6 Numerator of the variance quotient = 2,257.56 d ?x² = 133,470.0 Numerator of the variance quotient = 2,775.20 12 The annual salary of the staff in a state government agency are shown below. The first column shows the annual salary and the second column the frequency (the number of staff earning that salary). Annual Salary Frequency \$102,000 1 85,000 2 76,000 4 50,000 10 42,000 20 35,000 8 The mean salary of agencys staff is: a \$48,800 b \$55,000 c \$63,200 d \$65,000 13 John works in an appliance store. The following is a report of his sales effort in a given month. The report shows the price and the percent of total units sold at that price. What is the mean price of the items sold by John? Discussion: Statistics Numerical analysis Percent of total units Item Price sold A \$1,200 0.05 B 1000 0.20 C 800 0.35 D 200 0.30 E 50 0.10 a x? = \$650 b x? = \$630 c x? = \$615 d x? = \$605 14 The following shows an E270 students scores for different course requirements and the corresponding weights assigned by the professor to each category. The scores are from the scale of 100. Requirement Score Weight Homework 90 15% Attendance 100 10% Tests 80 30% Common Final 70 45% 100% The students mean score is: a 85 b 84 c 82 d 79 The instructor in a Statistics for Business and Economics wants to determine the proportion of students in that class who are business majors. Let 1 stand for business major and 0 for other majors . The following is the distribution obtained from the official class roster. 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 15 The proportion of students who are business majors is ________. a ? = 0.7321 b ? = 0.7143 c ? = 0.6964 d ? = 0.6786 16 The variance of the above binary data is ________. a 0.1806 b 0.1985 c 0.2181 d 0.2356 17 A sample data set has n = 50 observations. The mean of the data x? = 46.5. The sum of squares ?x² = 127793. The standard deviation of the data is ______. a 24.25 b 22.05 Discussion: Statistics Numerical analysis Get a 10 % discount on an order above \$ 100 Use the following coupon code : NURSING10

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