# Statistics Questions and Answers

Statistics

StatisticsThe relative frequency of the fifth class is 0 029 00 265 0 147 O 0 206 The cumulative frequency of the first class is O 13 05 02 0 3 0 10 10 20 20 30 30 40 40 50 S 297 12 1 The percentage of students who work less than 40 hours per week is O 76 5 O 100 O 14 7 O97 1 he data in the table are considered O grouped quantitative O discrete qualitative Ogrouped qualitative

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StatisticsYou want to do a study to determine whether stress management training in stats classes leads to higher grades on tests 1 What is your research hypothesis 2 What is the null hypothesis 3 What pattern of result would allow you to reject the null hypothesis 4 If you re wrong what is the type of error that you made 4

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Statisticsignment Score estion 1 of 3 0 millan Learning Manatees are large aquatic mammals found species the Florida Fish and Wildlife Cons cause of death for each carcass In 2016 the

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StatisticsAnalyze the graphs below and write a reflection on what you think the graphs are communicating to you To guide you with your response start with some observations AVERAGE SUPER BOWL TICKET PURCHASE PRICE AS OF NOON ET FEB 9 TICKNICK What are the topics of the graphs What quantities are being compared What are some observations that you can make based on the graphs What surprises you about the graph What do you wonder What do you foresee happening in the next 10 years ahoo finance 2017 VE EVENTS INDUSTRY 7313 SUPER BOWL TICKET PRICES FALL AS GAME APPROACHES LIVE 8m 6m No Covid Discount for Super Bowl Advertisers Average price of a 30 second commercial during the U S TV broadcast of the Super Bowl 4m 2m 2010 2021 Is there an upward or downward trend Are there any sudden spikes in the graph What is being compared in the graph What prediction can I make for the future What inferences can I make about the graph In game ad revenue 191m 435m 6 50m

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StatisticsNetflix Apple Start Page Assignment Score Question 3 of 3 Google 0 US Facebook Learning monmouth sig a Amazon com stanley 30 oz YouTube MU PORTAL From 1986 to 2000 a study follow lifestyle questionnaire every two you included in an analysis of risk fact

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StatisticsCredit 6 ct on Credit Assignment Score Question 16 of 19 87 4 llan Learning StatTut What

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StatisticsScore 3 0 O Macmillan Learning A study enrolled 517 children aged 2 to 5 y same age group but without such a diagnosi of their pregnancy such as type 2 diabetes frequent among the mothers of children wit

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Statistics10 Points DETAILS h 0 PREVIOUS ANSWERS H e owner of an apartment building can rent all 50 apartments if she a Construct a table that gives the revenue generated if she No of Apts Total Revenue Rent 600 50 30 000

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StatisticsSt Miaterm Exam on list on 10 11 12 The following is a set of data from a sample of n 5 3576 10 a Compute the mean median and mode b Compute the range variance standard deviation and coefficient of variat c Compute the Z scores Are there any outliers d Describe the shape of the data set The standard deviation is 2 59 Type an integer or decimal rounded to two decimal places as needed The coefficient of variation is 41 75 Type an integer or decimal rounded to two decimal places as needed c Compute the Z scores Data X 67675 Quest 10 utliers Z Score 1 21 0 96 0 31 0 08 1 47 D D D D D Ro R R R

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StatisticsExam K The data below represent the nationwide highest yields for one year CDs and five year CDs One Year Five Year D CD CD a For one year CDs and five year CDs separately compute the variance standard deviation range and coefficient of variation b Based on the results of a do one year CDs or five year CDs have more variation in the highest yields offered Explain 5 34 5 31 5 31 5 30 5 25 5 94 5 90 Question 14 of 19 5 82 5 83 5 78

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StatisticsFULACIII K Question 19 of If X 89 S 23 and n 81 and assuming that the population is normally distributed co Click here to view page 1 of the table of critical values for the t distribution Click here to view page 2 of the table of critical values for the t distribution SHS0 Round to two decimal places as needed Critical Values fo Degrees of Freedom 2 3 6 10 0

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StatisticsA 4 000 loan taken now with a simple interest rate of 2 per year will require a total repayment of 4 160 At what time t will the loan mature t yr

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Statisticss SP1 2023 The following is a set of data from a sample of n 5 3 5 7 6 10 O a Compute the mean median and mode b Compute the range variance standard deviation and coefficient of variation c Compute the Z scores Are there any outliers d Describe the shape of the data set Vypo an mayor vi val UURINGU I LWU UCURTa pravas as coutu The coefficient of variation is Type an integer or decimal rounded to two decimal places as needed c Compute the Z scores Data X 3 5 7 Question 17 of 19 6 10 here any outliers Yes Z Score Round to two decimal pla Round to two decimal pla Round to two decimal pla Round to two decimal pl Round to two decimal pl

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Statistics77 K The accompanying table contains the number of partners in a cohort of rising accounting firms that hay Click the icon to view the number of partners in rising accounting firms a Compute the first quartile Q the third quartile Q3 and the interquartile range Q Q3 Interquartile range Type integers or decimals Do not round Question 15 of 19 b List the five number summary The five number summary is 300 Type integers or decimals Use ascending order Do not round c Construct a boxplot and describe its shape Identify the correct boxplot

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StatisticsLinear Functions Fit to Data MC A data set comparing a woman s shoe size to her height is represented by the table Shoe Size Height inches 7 5 63 8 12 7 9 10 12 12 5 14 70 5 68 71 69 5 70 75 63 72 Identify and interpret the slope in this scenario Using technology calculate the line of best fit Each time the shoe size increases by one the height increases by 0 25 inches The slope of the line of best fit is 0 25 The slope of the line of best fit is 0 25 0 Each time the shoe size increases by 0 25 the height increases by one inch O The slope of the line of best fit is 66 6 Each time the shoe size increases by one the height increases by 66 6 inches The slope of the line of best fit is 66 6 Each time the shoe size increases by 66 6 the height increases by one inch

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StatisticsQuestion 12 Mo Choice Worth points Two Way Frequency Tables MC A sample of 245 high school students from grades 9 10 and 11 12 were asked to choose the kind of band to have play at a school 14 3 were of students in grades 11 12 who prefer a country band while 10 2 were students in grades 11 12 who prefer a rock b Which of the following is a correct two way relative frequency table for the data B School Dance Band Preference Grades 3 10 Rap Rock Country Row totale 16 0 12 2 22 4 51 Grade 11 12 24 5 10 2 14 3 49

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StatisticsLinear Functions Fit to Data MC The graph shows a scatter plot for a set of data Length cm 4 3 5 3 2 1 5 1 0 5 D 0 1 31 0 82 0 5 0 82 Determine the equation for a line of fit for the data 0 020 x 1 980 yx 1 1 980 yx 8 15 Width cm 2 1 31 2 5 3 0 020 yx

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StatisticsOne year consumers spent an average of 22 c below a What is the probability that a randomly selec P X 24 Round to four decimal places p What is the probability that a randomly selec 11 x 20 Round to four decimal p

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StatisticsA nursery is recording the heights of its available fruit trees Box plot because tree height is numerical Histogram because tree height is categorical Stem and leaf plot because tree height is categorical Which of the following displays could be used to represent the data and why Bar chart because tree height is numerical

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StatisticsMultiple Choice Worth 1 points to Data LC cted on the distance a baseball will travel when hit by a baseball b s

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Statistics2012 TAX TABLE FOR UNMARRIED INDIVIDUALS Tax Rate 10 D Tax Brackets The U S has a progressive tax system meaning the more income you higher tax rate you pay Use the tax table to help you label the rest of Jim s money to show the tax rate he will pay on each part of what he made Jim s Income Tax Rate 15 25 28 33 5 Income 0 8 700 8 700 35 350 35 350 85 650 85 650 178 650 178 650 388 350 What It Means You pay 10 percent on first 8 700 your You pay 15 percent on income over 8 700 but under 35 350 You pay 25 percent on income over 35 350 but under 85 650 You pay 28 percent on income over 85 650 but under 178 650 You pay 33 percent on income over 178 650 but under 388 350 You pay 35 percent on Over 388 350 every dollar you make over 388 350 97 482 90 000 80 000 70 000 60 000 50 000 40 000 30 000 20 000 10 000 10

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StatisticsAdill K A government agency reported the given sources of electricity in a particular area in 2010 a Construct a Pareto chart 100 What percentage of power is derived from coal nuclear or natural gas c Construct a pie chart d For these data is it better to use a Pareto chart or the pie chart Why 0 5 EBD CA Source Q 100 Question 11 of 19 B A CD BE Source Q b The percentage of power that is derived from coal nuclear or natural gas is c Choose the correct pie chart below

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Statisticsd the sample size needed to estimate the mean rs based on a previous report Should the samp equired sample size is Round up to the ne the sample be obtained from one movie at or

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StatisticsExam K The following is a set of data from a sample of n 5 3 5 7 6 10 a Compute the mean median and mode b Compute the range variance standard deviation and coefficient of variation c Compute the Z scores Are there any outliers d Describe the shape of the data set a Select the correct choice below and if necessary fill in the answer box to complete your choice Question 17 01 T OA The mean is Type an integer or a decimal Do not round Use a comma to separate answers as needed OB There is no solution Select the correct choice below and if necessary fill in the answer box to complete your choice OA The median is Type an integer or a decimal Do not round Use a comma to separate answers as needed OB There is no solution Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mode is Type an integer or a decimal Do not round Use a comma to separate answers as needed OB There is no solution b The range is The variance is Type an integer or a decimal Do not round dooimal rounded to two decimal places as needed

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StatisticsIII Test Midterm Exam question list Question 1 Question 2 estion 3 stion 4 on 5 K For each of the following variables determine whether the variable is a Number of online purchases made in a day b Satisfaction rating of a cable television provider from low to high c Time in hours spent working per day d Name of a household s Internet service provider e Number of hamburgers ordered in a day a Number of online purchases made in a day is what kind of variable O categorical discrete numerical O continuous numerical b Satisfaction rating of a cable television provider from low to high O categorical

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Statisticst Midterm Exam n list 1 K According to a government s census bureau in F a Interpret the median sales price b Interpret the mean sales price c Discuss the shape of the distribution of the pric a Choose the correct answer below OA Half of the prices for a new house are sma OB Half of the prices for a new house are sma OC Half of the prices for a new house are sma OD Half of the prices for a new house are sma h Choose the correct answer bolou

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StatisticsA Which Tax Is It Match each scenario with the tax it 1 TARIFF PROPERTY TAX ESTATE TAX INCOME SOCIAL SECURITY MEDICARE TAXES EXCISE TAX SALES TAX WHEN YOU BUY STUFF Sales tax A percentage of the total price for everything in your shopping cart Added to the price of certain items such as Yvonne buys gloves that cost 10 00 At the register she must pay 10 80 Tariff Added to the price of many goods made in other Countries 21 Sasha bought a townhouse last year She just got a tax bill from the county showing the value of her house and the amount of tax she owes 31 Bigmart sells boots that are made in China and boots made in the U S Bigmart must pay 27 tax on each pair made in China but not on the US made pairs 3 Tax Organizer Use what you learned in the reading to complete this graphic organizer TAXES YOU PAY State citizens voted to add a 75 cent tax to each pack of cigarettes to pay for programs to help people quit smoking Jake got his paycheck today He worked 40 hours at 20 per hour His gross pay was 800 but the amount of his paycheck was only 623 15 Clyde Cash owned two houses three office buildings a Bugatti Veyron antiques stocks and a jet all worth 25 million He passed away His heirs owe the government 9 million in taxes OUT OF YOUR INCOME A percentage of the total amount of income you have for the Social Security Used to fund a medicare program for U S workers Used to fund a health care program for people ane ON STUFF YOU OWN property A tax on the value of land and property you own Estate A tax on what you own when you die if it is worth a very

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Statistics1504 estion list question 1 estion 2 tion 3 on 4 5 K For each of the following variables determine whether the variable is ca a Number of online purchases made in a day b Satisfaction rating of a cable television provider from low to high O O c Time in hours spent working per day d Name of a household s Internet service provider e Number of hamburgers ordered in a day D Satisfaction rating or a capie television provider Trom low to nign is 0 0 0 O categorical continuous numerical discrete numerical c Time in hours spent working per day is what kind of variable O categorical continuous numerical discrete numerical of a household s Internet service provider is what kind of v

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Statisticson list 2 1 The following table contains the probability o a Compute the mean number of accidents p P Type an integer or a decimal Do not round Computo the standard deviation

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StatisticsD How Much Will It Cost Maybe you different end amounts That s sales tax is different Find out how small changes in sales tax can affect the price you pay for the stuff you want STATE SALES TAX 5 B TOWN 3 HUGEMART BIGMART county 2 A TOWN DEALERSHIP BOB S DEALERSHIR A TOWN 2 COUNTY STORE 1 A pair of headphones costs 10 at both Bigmart in A Town and Hugemart in B Town What would you actually pay for the headphones at each store Cost in A Town Cost in B Town 3 A stereo costs 257 at the County Store and 250 at Hugemart in B Town With taxes what would you actually pay at each store Cost in B Town At County Store If it costs you 10 in gas to drive to Hugemart at which store will the stereo end up costing you the least Example How much will you pay for a 50 shirt at Bigmart in A Town 1 ADD to find the tax rate 4 ADD the tax and the price to see the final cost State tax County tax City tax Total Tax Cost in A Town 2 MULTIPLY the tax by the price 3 MOVE the decimal point two places to the left This is the amount of tax 450 4 50 you will pay 50 x 9 450 BIGMART 0 75 5 2 2 2 Lisa is going to buy a new car It costs 15 000 at both A Town Dealership and at Bob s County Dealership What would she actually pay for the car at each place 9 J 50 00 4 50 54 50 Cost at Bob s 4 The state is tired of people putting gum under tables and chairs It just put a 1 excise tax on each pack of gum Gum used to cost 0 75 per pack at both Bigmart and Hugemart Change the price tags to show the new price at each store 0 75 HUGEMART

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StatisticsC Government Revenue Revenue is a fancy word for income Use the proportions in the help you label each dollar amount Then add to see the total amount of taxes the federal government received in 2011 Other Excise Estate Tariffs 9 Social Security Medicare 48 Individual Income Taxes 35 Corporate Income Taxes 9 Dollar Amount 1 100 000 000 000 819 000 000 000 181 000 000 000 211 000 000 000 Tax Type Total Revenue 2011

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Statistics4 a Consider the initial value problem begin aligned y prime x 1 y x text for x in 1 1 y 0 0 end aligned Verify that y x 1 exp x is a solution Show that Picard s theorem applies to this problem with f 1 1 x 1 e 1 1 e R Can you find any more solutions to this initial value problem If so find one or more otherwise explain why not

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StatisticsThe number of hours per week that the television is turned on is determined for each family in a sample The mean of the data is 38 hours and the median is 34 2 hours Twenty four of the families in the sample turned on the television for 23 hours or less for the week The 6th percentile of the data is 23 hours Step 4 of 5 What is the value of the 50th percentile

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StatisticsIf a value in a set of data is below average what will be true about its z score O It will be 1 It will be negative O It will be positive It will be zero

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Statistics4 A group of people gathered for a small party Fifteen percent 15 of them ar left handed find the probability that if 6 people are chosen at random all of them ar left handed 4

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Statistics3 The annual salaries of employees in a research center are approximately norm distributed with a mean of 50 000 and a standard deviation of 20 000 6 a What percent of people earn less than 40 000 2 b What percent of people earn between 45 000 and 65 000 2 c What percent of people earn more than 70 000 2

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Statisticshey distributions shown below then compare the amounts of tar in nonfiltered and filtered cigarettes Do the cigar filters appear to be effective Hint The filters reduce the amount of tar ingested by the smoker Click the icon to view the frequency distributions Complete the relative frequency table below Relative Frequency Filtered Relative Frequency Tar mg Nonfiltered 2 7 8 13 14 19 20 25 26 31 32 37 38 43 Simplify your answers Frequency Distributions Tar mg in Nonfiltered Cigarettes Frequency 14 19 1 20 25 1 26 31 14 32 37 8 38 43 1 Print Tar mg in Filtered Cigarettes 2 7 8 13 14 19 20 25 Done Frequency 1 266 16 X

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Statisticsuestion 8 of 9 Step 3 01 5 Construct a bar graph that represents the following data

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Statisticsand use the 25 home voltage measurements to construct a frequency distribution with five classes Begin with a lower class limit of 124 2 volts and u class width of 0 2 volt Does the result appear to have a normal distribution Why or why not Click the icon to view the data Complete the frequency distribution below Frequency Voltage volts 124 2 1 I II Type integers or decimals rounded to the nearest tenth as needed More Info Home Full volts data 1 Voltage Measurements From a Home Home Home Home Day volts Day volts Day volts Day 124 5 8 124 5 15 124 8 124 7 set 22 124 8 9 124 6 16 124 7 23 124 5 17 124 6 10 124 9 124 5 24 124 4 18 124 4 25 124 6 4 124 9 11 124 7 5 124 9 124 4 19 124 6 124 2 124 6 20 125 0 124 7 124 8 21 12 13 14 124 9 234567 1234 X

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StatisticsEvaluating Reports MC The dot plot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office 1 2 O Median mode mean Median mean mode O Mode median mean 3 Calculate the mean median and mode of the data Based on the results which list shows a comparison of the measures of central tendency from least to greatest Mean median mode Hours 5 00

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StatisticsClick the icon to view the ages of male actors Complete the table below Age 20 29 30 39 40 49 50 59 60 69 70 79 No of actors 1 11 13 5 2 2 male actors at the time when they won their award Make a frequency table for the data using bins of 20 29 30 39 and so or Data table 28 31 41 36 58 48 42 68 56 49 41 37 38 45 62 59 36 37 46 30 71 55 46 38 42 42 45 31 48 52 78 39 49 34 X

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StatisticsStudents at a virtual school are allowed to sign up for one math class each year The numbers of students signing up for various math classes for the next school year are given in the following table Grade Geometry Algebra II Pre Calculus AP Statistics 10th 20 7 10 3 0 7 11th 6 7 2 8 12th 1 4 9 Total 29 12 4 13 8 6 7 31 3 4 10 3 13 8 27 6 Total 35 2 33 8 31 1 A student calculated the joint relative frequency of 10th grade students in geometry as being 71 4 What did the student actually calculate and what is the correct answer O The student calculated the conditional relative frequency for students who are in 10th grade given that they are enrolled in Geometry The correct value of the joint relative frequency of 10th grade students in geometry is 20 7 O The student calculated the conditional relative frequency for students who are in 10th grade given that they are enrolled in Geometry The correct value of the joint relative frequency of 10th grade students in geometry is 29 O The student calculated the marginal relative frequency for 10th grade students in geometry The correct value of the joint relative frequency of 10th grade students in geometry is 20 7 The student calculated the marginal relative frequency for 10th grade students in geometry The correct 20

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StatisticsThe data represents the daily rainfall in inches for one month Construct a frequency distribution beginning with a lower class limit of 0 00 and use a class width of 0 20 Does the frequency distribution appear to be roughly a normal distribution Daily Rainfall in inches 0 00 0 19 0 20 0 39 0 40 0 59 0 60 0 79 0 80 0 99 1 00 1 19 1 20 1 39 Frequency 0 36 0 0 21 0 18 0 o 0 0 23 0 0 59 0 08 0 0 0 01 0 0 0 25 0 0 0 02 0 oro oc 0 1 39 0 21 0 0 15 0 56 0 0 0 22 0 0

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StatisticsEvaluating Reports MC A student surveyed some friends about their favorite type of ice cream The results are shown in the bar graph below Number of Friends 5 3 2 M 0 Chocolate Ice Cream Pistachio Strawberry Ice Cream Type Vanilla Part A Choose one ice cream flavor Determine the percentage of friends who named the flavor you chose Show all necessary work 3 points lo to dotorming that the most popular ice cream flavor for the

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StatisticsA group of 15 athletes participated in a golf competition Their scores are below Score points 12345 Number of Athletes 1 2 3 4 5 Would a dot plot or a histogram best represent the data presented here Why O Histogram because a large number of scores are reported as ranges O Histogram because a small number of scores are reported individually Dot plot because a large number of scores are reported as ranges O Dot plot because a small number of scores are reported individually

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StatisticsA data set comparing a woman s shoe size to her height is represented by the table Shoe Size Height inches 7 5 8 12 7 9 10 12 12 5 14 63 70 5 68 71 69 5 70 75 63 72 Using technology calculate the line of best fit Identify and interpret the slope in this scenario O The slope of the line of best fit is 0 25 Each time the shoe size increases by one the height increases by 0 25 inches O The slope of the line of best fit is 0 25 Each time the shoe size increases by 0 25 the height increases by one inch O The slope of the line of best fit is 66 6 Each time the shoe size increases by one the height increases by 66 6 inches O The slope of the line of best fit is 66 6 Each time the shoe size increases by 66 6 the height increases

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StatisticsA student surveyed a group of friends about the different types of pizza they like The results are shown in the graph below Number of Friends 32 0 O 10 20 Cheese 30 Pizza Mushroom Pepperoni What percentage of the friends like mushroom and pepperoni pizza Pizza Type Supreme

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StatisticsEvaluating Reports MC The line plot below shows the number of pets owned by 25 people who were randomly surveyed in a particular town Pets 00 The town mayor uses the graph to claim that the town is very pet friendly Part A Find the mean of the data Show or explain each step of work 2 points Part B Find the median of the data Show or explain each step of work 1 point Part C Find the mode of the data Show or explain each step of work 1 point Part D Using your findings in parts A B and C describe the distribution of the data 1 point 6

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StatisticsData were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed The speed s is measured in miles per hour and distance y is measured in yards The line of fit is given by y 3 98 53 59s If the ball travels for a duration of 5 seconds what is the predicted distance of the ball O267 95 feet O271 93 feet 283 87 feet