Numerical Summaries WSDIRECTIONS: SHOW ALL WORK!!A final response following a calculation should be a sentence. Place a box around your final response.Round probability calculations to 4 decimal places.Round other numerical results including percents to two decimal places (e.g. 2.56 shoes, 18.49%).1. Below are the are data for the number of visits to the campus recreation center during a semester for 30 State U students.1925572421 20 4712250474211218 19 231730020139249(a) Compute the mean and standard deviation for these data. Label each with the appropriate symbol.(b) Compute the median and the IQR.(c) Provide a 5-number summary of the data.(d) Sketch a modified baxplot of the data. How would you describe the shape of the distribution? Are there any potentialoutliers? If so, which value(s)?(e) What is the-score for the individual who visited the center nine times? Interpret the result.2. A study by the World Health Organization found the life expectancy for European countries followed a skewed-leftdistribution with a mean of 74 21 years and a standard deviation of 3.87 years.(a) Should we expect the mean to be less than, greater than, or about the same as the median? Explain.(b) At least what percent of individuals live between 65.38 years and 83.01 years?(c) What is the smallest interval guaranteed to capture at least 92% of all life expectancies?3. An assembly plant for Rivendell Motors builds approximately 6000 cars each week. Past data show the number of defectivecars produced during a week follows a bell-shaped distribution with a mean of 204 cars and a standard deviation of 14CAIS(a) What percent of weeks see between 218 and 246 defective cars coming off the line?(b) What percent of weeks have more than 246 defective cars produced at the plant?(c) What percent of weeks see between 162 and 218 defective cars at the plant?(d) What is the cutoff for the fewest 16% of defective cars produced in a week?(e) What is the cutoff for the greatest 2.5% of defective cars produced in a week?4. A survey of customers who shop at a designer clothing store found the average number of t-shirts they own costing at least$30 (designer t-shirt was 3.61 with a standard deviation of 1.18 t-shirts. A histogram of the data shows a skewed-rightdistribution.(a) Should we expect the mean to be less than, greater than, or approximately the same as the median? Explain(b) At least what percent of customers would we find on the interval between 2.30 t-shirts and 5.92 t-shirts?(c) What is the smallest interval guaranteed to capture at least 71% of all customers?5. The Kentucky Derby in its present form dates back to 1896, when the race became contested at a distance of 14 miles.Since that time, there have been 127 winners. An analysis of the winning times shows a roughly bell-shaped distributionwith a mean of 122.34 seconds and a standard deviation of 1.52 seconds(a) Identify the mean and standard deviation using appropriate symbols.(b) What percent of Derby winners finished between 119.3 s and 126.9 s?(c) What percent of Derby winners took more than 123.86 s to finish the race?(d) What time marks the cutoff for the fastest 0.15% of winning times?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following refer to the following data set: 41 56 41 97 96 34 95 52 23 67 What is the mean (¯x) of this data set?mean = (Please show your answer to one decimal place.)What is the median of this data set?median = What is the mode of this data set?mode =
A team of ten (10) construction workers who are working on a project are classified according to the skill levels, Classes A to D. The table below shows the number of workers in each of the four (4) classes and their respective hourly pay-rate. Pay-rate (Rands/hour) Number of workers Class A 80 Class B 60 Class C 55 Class D 50 4. Calculate the mean hourly pay-rate for the 10 workers. A. R24.50/hour B. R57/hour C. R57.50/hour D. R61.75/hour
These data are the number of on-campus burglaries reported in a given year for nine western Pennsylvania universities. 16 10 4 16 9 8 12 5 16 For the above data set, find the mean, median, midrange, and mode. Round to one decimal place, if necessary.
Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year. a. mean= 12,700; median= 13,156; no mode; the mean is the best choice because it is representative of the entire data set. b. mean= 13,156; median= 12,700; mode= 3,628; the median is the best choice because it is not skewed by the high outlier. c. mean= 13,156; median= 12,700; no mode; the mean is the best choice because it is representative of the entire data set. d. mean= 13,156; median= 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
A sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice) Compute the median and mean for these data? 10 43 30 30 45 40 12 40 42 35 45 25 10 33 50 42 32 38 11 47 22 26 37 38 10
3. The following are the number of customers on a certain day in three milktea shops. Calculate the mean, mode, range, standard deviation, coefficient of variation measures. Compare its variability. milktea: 14, 15, 16, 17, 18, 19, 21 Gongcha: 22, 22, 24, 25, 28, 32, 32 Infinitea: 10, 11, 12, 12, 12, 15, 16
6. Find the mean, median, and mode for each set of data. a. 80 90 100 110 110 140 b. 10 90 100 110 110 210 c. How do your answers for parts (a) and (b) differ (or agree)? Why?
5.) Find the mean, median, range, variance and standard deviation of the data set below. The data represent the fixed monthly costs for Sam's Linen Service. Monthly charges Monthly cost ($) Bank charges 482 Cleaning 2208 Food 1750 Computer expenses 2471 Lease payments 2656 Grounds fees 1475 Postage 2117 Uniforms 2600 Delivery fuel 955
4. In an effort to estimate the size of elk herds wintering in Rocky Mountain National Park, the rangers used a small airplane to spot count groups of elk in the park. They found 15 groups of elk and recorded the size of each group as: 21 15 19 16 18 17 17 20 25 7 7 16 10 16 18 12 Compute the mean, the median and the mode of the data.
Some Woodside customers were asked the age of their houses. The table summarizes the results. Age of Home Number of Midpoint (years) Customers 0-8 17 9-17 10 18 26 27 35 4. What are the mean and median of the age of houses? O mean 14 and median 13 O mean 12 and median 22 O mean 13 and median 13 O mean 12 and median 13
The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below. 36 49 23 68 26 12 54 13 50 4 14 42 42 101 31 18 13 51 22 3 17 26 91 25 13 20 Click here for the Excel Data File (a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)

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