# hw2 - Determine whether the followmg statement is true or...

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Unformatted text preview: Determine whether the followmg statement is true or false. The relative frequency of the class is the frequency of the class divided by the sample size. Is the statement true or false? @ a- True 0 13- False Identify the class width, Class class midpoint, and lower 90-99 class boundary for the IUD-109 given frequency 110-119 distribution. 120-129 130-139 140-149 150-159 mist is the class width? (Type an integer.) What is the class midpoint of the 149-149 class? 144. 5 (Type an integer or a decimal.) What is the ower class boundary for the class with frequency 9'? 109.5 (Typeaninteger ora decimal.) Class width is the distance between lower (or upper) limits of consecutive classes. Each class midpoint can be found by adding the lower class limit to the upper class limit and dividing the sum by 2. Find the size of the gap between the upper class limit of one class and the lower class limit ofthe next class. Subtract half of that amount from each lower class limit to ﬁnd the lower class boundaries. Use the given frequency Class distribution to construct 90-99 a cumulative frequency IUD—109 distribution. Use your 110—119 expanded frequency 120-129 distribution to answer 139-139 the following question. 140-149 150-159 What is the cumulative frequency of the 99-99 class? 0 a. 35 O 1:. nose (it c. 2 his is the relative frequency, not the cumulative frequency. This frequency histogram describes the ages of employees in a business. Answer the following 4 questions. How many classes are there? classes (Type an integer.) Choose the frequency of the class with the least frequency. Oa.13 Ob. 5 Ge. 25 Choose the frequency of the class with the greatest frequency. 0 a_ 25 o b. 3 o g 40 _ Count the number of bars in the frequency histogram. ‘What is the class width? (Type an integer.) he class with the lowest frequency in the histogram is represented by the hortest vertical bar. The frequency is found by the number in the vertical axes, requency. RmTI‘I'E FREEB'UM This relative frequency 0-35 0.3 histogram represents the level 035 ofastimulant(in mg) foundin 0-3 0.15 a drug test. Answer the 0.1 following three questions. “"35 120 130 1‘0 150 150 170 Choose the class with the greatest relative frequency. 0 a. 155-13 mg 0 1:. 115—125 mg as c. 135-145 mg 0 :1. 125-135 mg Choose the least relative frequency. 0 a. 95% '3' b. 5% Choose the greatest relative frequency. 0 a. 130 O b. 23% Construct a frequency distribution for the data set using the indicated number of classes. Determine which class has the greatest frequency and which has the least frequency. Number of classes: 5 vaspaperReadjngTimes 12 26 SS 15 20 33 To 24 33 68 45 75 29 31 U 33 31 Which class has the greatest frequency? 0 a. 72—39 minutes 0 b. 36-53 minutes 0 c. 54—?1 minutes E) :1. 13—35 minutes Which class has the least frequency? 0a. 36-53minutes Ob. 54-71minutes Oc. 72-39mmiites GM. EI-leinutes Use the formula for class width. Maximum entry — Minimum entry Number of classes Class width — Recall that frequency is the number of data entries for each class. 6 Match the plot with the description of the sample. 3 10 11 12 13 1d 15 16 1'? 18 19 20 Select the appropriate description of the display of the data. '5' EL Prices (in dollars) ofa sample of 25 calculators O 13- Prices (in dollars) ofa sample of 15 calculators. O '3- Weights (in pounds) ofa sample of 25 kittens 0 [1- Weights (in grams) ofa sample of 25 kittens 3E||IJ3369 Key: 3D|5 = 335 Use the stem-and-leaf plot to 31||34T9 determine actual data entries. 32| What is the maximum data entry 33|29 and the minimum data entry? 34|346 What is the maximum data entry? (Type an wager.) What is the minimum data entry? (Type an integer.) Use a stern-and-leaf plot to display the data. The data represent the length of time (in minutes) for the games in a team's season. 2'3 39 62 52' 2'5 69 56 63 7'3 7'2 35 2'4 63 7'2 33 2'9 56 93 32 67 56 2'1 Choose the correct stern-and-leaf plot. I 5| 5? as as as I _ 5| 52 as aa aa a? \$3. I Ob. " . r| ra rs rs r2 r4 r2 rs r1 I a as as as a2 I s| so Choose the correct conclusion. Most games lasted 0a. between T1 and 7's 0 13- minutes. Most games lasted C Most games lasted less more than 73 minutes. ' than 73 minutes. The following data represent the number of students per teacher and the average teacher salary (in thousands of dollars) for a sample of 13 school districts. Create a a scatter plot (with students on the X-EIXiS and salaries on the y-axis) and use it to answer the question. Studentsperteaizher 19.5 16.4 13.7 17.4 21.1 13.2 13.3 17".5 12.2 22.7 Average teacher's salary 23.3 43.6 33.9 27.9 39.2 33.7 53.9 37.1 43.6 25.4 Which statement best describes the trend shown in the scatterplot'? ('5' El- The teacher's salary decreases as the number of students per teacher increases. 0 13- The teacher's salary increases as the number of students per teacher decreases. C' C. The teacher's salary increases as the number of students per teacher increases. D d. The teacher's salary decreases as the number of students per teacher decreases The data represent the prices of Grade A eggs (in dollars per dozen) for the indicated years. Year 1990 1991 1992 1993 1994 1995 1996 199? 1993 1999 2000 2001 Price 1.00 1.01 0.93 0.0? 0.07 1.16 1.31 1.1? 1.32 0.92 0.96 0.93 se a time series chart to answer the question. In what year did the price of eggs peak? Type an integer.) Which distribution matches the graph below? id 12 10 100 110 120 130 1.10 2150 2150 The frequency distribution of weights (in pounds) for a sample of eighth grade boys The frequency distribution of salaries (in thousands of dollars) at a company where a few executives make much higher salaries than the majority of employees The frequency distribution of 160 rolls ofan octahedron (an B-sided die) The frequency distribution of scores on a 100-point test where a few students Find the mean, median, and mode of the data. The number of books borrowed within a year recorded for 11 library card holders 82 47"542156 T3 50 58 50 21 5 What is the mean? books (Round to the nearest integer.) What is the median? books (Type an integer or a decimal.) Determine the mode(s) ofthis data set. D a. 21 O b. 50 ‘3’ '3- 21 and 50 0 51- There are no modes for this data set. Find the mean, median, and mode of the data, if possible. The scores received for a vault in a gymnastics event from elevenjudges 3.3 5.7" 3.1 3.3 3.3 3.3 5.4 4.3 4.4 3.3 3.0 What is the mean? (Round to the nearest tenth.) What is the median? (Round to the nearest hundredth.) What is the mode? (Round to the nearest tenth.) The average weekly starting salary (hyjoh title) for 12 employees at a company are given. What is the mean starting salary for these employees? 1 manager \$1554 1 ofﬁce manager \$913 5 drivers \$212 2 secretaries \$491 3 repair technicians \$623 What is the mean weekly starting salary for these employees? Do not round until the ﬁnal step. mean= \$ (Round to the nearest cent.) Approximate the mean of the group ed data. The age distribution of students in a statistics class Age 20-29 30-39 40-49 50-59 60-69 Frequency 19 19 24 16 5 What is the mean age of the students based on this given frequency distribution? mean=rears (Round to the nearest hundredth.) During a quality assurance check, the actual content of (in ounces) ofan item was recorded as follows. 6.1? 6.92 6.14 6.63 6.35 6.21 6.35 6.20 What is the mean? 6.44 (Round to the nearest hundredth.) What is the median? (Round to the nearest hundredth.) Replace the 6.21 in the data set hy7.21. What is the new mean? 6. 5? (Round to the nearest hundredth.) If 6.21 inthe data setis replaced by 7.21, what is the new median? 6. 52 (Round to the nearest hundredth.) You are applying for ajoh at two companies. Company A offers starting salaries with ,6: = \$33000 and or = \$3000. CompanyE offers starting salaries with .u. = \$33000 and CF = \$11000. From which company are you more likely to get an offer of \$52000 or more? For which company would you he more likely to get a starting salary of \$52000? 0 El- Company A [5“ 13- Company B Three statistics classes all took the same test. Below are histograms ofthe scores for each class. random FR om magnum-Jr ‘ a can-a Ila-Ia Ila-Ia crass #1 mass #2 crass #3 Which class has the greatest sample standard deviation? 0 a. Class 3 ‘3' *1 Class 2 Which class has the least sample standard deviation? 0 a. Class 1 G) *1 Class 3 ...
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## hw2 - Determine whether the followmg statement is true or...

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