Exam part 1 data and statistics

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6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 Aidan Welchman ‘ v https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item id=8722603 1/12

6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 Review Mode o Reviewing #1-6/5/2024,1:49:41 AM ¢ Exam: Data And Statistics, Part 1 65.04 16.91 6/5/2024,12:58:42 AM STARTED out of 100% out of 26 PERCENTAGE SOINTS EARNEL 6/5/2024 1:49:41 AM ’ [ ] [ ] SUBMITTED No attempts remain Question 1 The sample space for an experiment is the letters A through N. S={A,B,C,D,E, F,G,H,I,J, K, L, M, N} Event A is the letters in the word "baking," and event B is the vowels. Use set notation to identify the following subsets from the sample space. 1.event B 2. the complement of A 3. the union of A and B 4. the intersection of A and B Enter your answers in the box. Event B ={ A, E, I}, Complement of A = {C,D,E,F,H,J,L,M}, the union of A and B = {A,B,E,|,K,N,G}, the intersection of A and B = {A, I} 24 /10000 Word Limit Question 2 @ Events A and B are independent, and P (A) = % and P(AN B) = 2—10. Whatis P (B)? Enter your answer in the box. P(B)= = v https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item id=8722603 2/12

6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 Question 3 @ If P(A) = % P(B) = % and P(AN B) = %, are A and B independent? Fill in the blanks to answer the question and justify the reason. Use the drop-down arrows to select the correct responses. The events are | independent «” becausethe | product « of their probabilities | equals « the probability of their intersection. Question 4 Q This data set represents the high temperatures (in degrees Fahrenheit) in Phoenix, Arizona for two weeks in September. {96, 99, 99, 100, 101, 102, 102, 102, 102, 103, 104, 105, 106, 106} Use the GeoGebra calculator to create a histogram of the given data. Use the slider to create 5 buckets. Upload a screenshot of your histogram. Supported file formats: CSV, GIF, JPG, PDF, PNG, RTF, TXT, ZIP, Video, Word, Excel, Open Office, Powerpoint Press T to enter descriptions for the uploaded files (250 characters max). Y 1. h exam data and statistics graph Q4.png 1 /12 File Limit Explain whether the histogram shows that the data is symmetric or skewed and what that means in the context. Type your answer in the box. The data and graph shows a left skew which means that the data had more frequent high temperatures during the 2 weeks. 22 / 10000 Word Limit Question 5 O This data set represents the high temperatures (in degrees Fahrenheit) in Phoenix, Arizona, for two weeks in September. https://primaverahs.strongmind.com/courses/30115/assignments/31139827?module_item_id=8722603 3/12

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6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 {96, 99, 99, 100, 101, 102, 102, 102, 102, 103, 104, 105, 106, 106} Use the GeoGebra calculator to create a box plot of the given data. Upload a screenshot of your box plot. Supported file formats: CSV, GIF, JPG, PDF, PNG, RTF, TXT, ZIP, Video, Word, Excel, Open Office, Powerpoint Press T to enter descriptions for the uploaded files (250 characters max). A 1. @ exam data and statistics graph Q4 box plot.png 1/12 File Limit Identify the minimum, first quartile, median, third quartile, and maximum of the data set. Explain whether the data is symmetric or skewed and explain what that means in the context. Use complete sentences. Type your answer in the box. Minimum 96, Q1 99 Median 102 Q3 104 Maximum 106, The data is slightly skewed to the right. The higher values are more spread out and pull the mean towards the higher temperatures. 33 /10000 Word Limit Question 6 @ This list represents the number of minutes 13 people spend watching television each day. {22, 30, 30, 36, 37, 38, 39, 45, 45, 48, 55, 60, 120} What are the mean and median of this data set? Round any decimals to the nearest tenth. Type your answers in the boxes. Mean= 46.5 Median= 39 Compare the values of mean and median to determine whether the data is symmetric or skewed. Interpret the shape in relation to the context. Use the drop-down arrows to complete the sentences. https://primaverahs.strongmind.com/courses/30115/assignments/31139827?module_item_id=8722603 4/12

6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 The data is | skewed right « , which means that compared to the mean, | few « people spend more time than average watching television. Question 7 Eduardo measured the heights, in inches, of all the pepper plants in his garden. He used his data to create this box-and-whisker plot. Pepper Plant Heights (in Inches) Identify and interpret the interquartile range for the data set. Use the drop-down arrows to complete the sentences. The interquartile range for the heightsis | 4 « . This means that 50% of the pepper plants are between | 13 « inchesand | 17 « inches. Question 8 Consider this data set. It represents the number of sunny days in Phoenix, Arizona, during several months. {23, 30, 24, 28,27, 24, 26} Identify and interpret the interquartile range for the data set. Use the drop-down arrows to complete the sentences. The interquartile range for the number of sunny daysis | 4 « . This means that 25% of the months had less than | 24 « sunnydays,and | 25% 28 sunny days. « had more than Question 9 https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item_id=8722603 5/12

6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 Consider this data set. It represents the number of sunny days in Phoenix, Arizona, during several months. {23, 30, 24, 28,27, 24, 26 } Click on the link to use the GeoGebra graphing_calculator to calculate the standard deviation. Round to the nearest tenth, if necessary. Interpret the standard deviation for the data set. Use the drop-down arrows to complete the sentences. The standard deviation for the number of sunny daysis | 2.3 « . This means that about 99.7% of the months had within | 6.9 «” sunny days higher or lower than the mean, whichis | 26 « Question 10 m Consider this data set. It represents the number of tomatoes on seven tomato plants. {6, 8,6,11, 8, 8, 9} Click on the link to use the GeoGebra graphing_calculator to calculate the standard deviation. Round to the nearest tenth, if necessary. Interpret the standard deviation for the data set. Use the drop-down arrows to complete the sentences. The standard deviation for the number of tomatoesis | 1.6 « . This means that about 68% of the plants had within | 1.6 « tomatoes higher or lower than the mean number of tomatoes, whichis | 8 « tomatoes. Question 11 @ The two data sets shown below are almost identical, except that the 63 from the first data set has been replaced by a 3 in the second data set. Which of the following statements are true? Select two that apply. Data Set 1: 32, 41, 51, 63, 66, 71 Data Set 2: 32, 41, 51, 3, 66, 71 You may use this Geogebra Graphing Calculator to determine your answer. The range of Data Set 2 is smaller than the range of Data Set 1. The median of Data Set 2 is exactly 30 less than the median of Data Set 1. The standard deviation of Data Set 2 is larger than the standard deviation of Data Set 1. v Tha maan nf Nata Qat 2 ic avartiy 11N lace than tha maan nf Nata Rat 1 v https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item id=8722603 6/12

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6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 I THIN D11V VI WULUA Vvl @ T \II\UULI] AWV IWwIWI LTIGALTL UMIWw 111w VI LA Wl . Question 12 Examine the data sets. They display the scores for two basketball teams. Team A: {48, 39, 47, 48, 38, 30, 35} Team B: {46, 39, 42, 44, 38, 47, 35} Click on the link to use the GeoGebra graphing_calculator to calculate the standard deviation of the data set. Round your answer to the nearest tenth, if necessary. Compare the means, ranges, and standard deviations of the data sets. Then use the drop-down arrows to complete the sentences. The mean score for Team A is ‘ less than «” the mean score for Team B. Therefore, | the scores for Team B are higher, on average « The range of scores for Team A is ‘ greaterthan «” the range of scores for Team B. Therefore, ‘ there is a greater difference between the highest and lowest score for Team A than TeamB « The standard deviation for the scores for Team Ais | greaterthan « the standard deviation for the scores for Team B. Therefore, ‘ the scores for Team A are more spread out from the mean than the scores for TeamB « Question 13 @_5,2\. The box plots below show the distributions of the low and high temperatures for a city over a one-month period. Low ——— | — High F— [} | — 3 L 4 i "y 30 35 40 45 50 55 60 65 70 75 80 Temperature ( °F) Which of the following statements are true? Select two that apply. The range of high temperatures is smaller than the range of low temperatures. The difference between the median high and median low temperatures is 15°F. v https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item id=8722603 7/12

6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 The difference between the maximum high and low temperatures is greater than the difference between the minimum high and low temperatures. The interquartile range for the high temperatures is larger than the interquartile range for the low temperatures. X Question 14 (063t A 4 Examine the data in the dot plots. The data shows how many miles it takes two groups of high school students to commute to school. Data Set A [ ] (] [ ] Q @ [ ] [ I ] 1 2 3 4 5 6 7 8 9 1011 1213 © 2018 StrongMind Data SetB O @] I N N N ] Q 1 2 3 4 5 6 7 8 9 1011 1213 © 2018 StrongMind Compare the shapes, means, ranges, and medians of the data sets. Then use the drop-down arrows to complete the sentences. The mean distance for Data Set Ais | lessthan X the mean distance for Data Set B. Therefore, | the distances for Data Set A are higher, on average « . The median of Data Set A is ‘ the sameas «” the median of Data Set B. Therefore, | the median commute distance for Data Set A and Data Set B are the same «” . The range for the distances in Data Set A is ‘ less than « the range for the distances in Data Set B. Therefore, | there is a greater difference between the highest and lowest commute distance in Data Set B than Data Set A « . The commute distances for Data Set A ~n—~ I Alrmsasad l~ft o Al b~ kA AliAd fmr Mada Ot D Ava I Alrmissand wialak s https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item id=8722603 8/12

6/5/24, 1:50 AM https://primaverahs.strongmind.com/courses/30115/assignments/3113982?module_item_id=8722603 Exam: Data and Statistics, Part 1 dre I SKewed Iell A, dIllU e COImimnutle uistdiices 10l dld o€l D dIie I SKeweu rlglll Question 15 Examine the two data displays. They show how many works of art students from two high school classes created in a month. Data Set A @] ] @ ] e 0 ] O 1 2 3 4 5 6 7 8 9 10 11 12 13 © 2018 StrongMind Data SetBE ﬂ ' © 2018 StrongMind Compare the shapes, ranges, medians, quartiles, and interquartile ranges of the data sets. Then use the drop-down arrows to complete the sentences. The median of Data Set Ais | greaterthan « The range for the number of works of art in Data Set A is Therefore, | there is the same difference between the highest and lowest number of works of art in Data Set A and Data SetB « The data for the number of works of art in Data Set A is The lower quartile for Data Set Ais | greaterthan « the lower quartile for Data Set B. The upper quartile for Data Set A is ‘ greaterthan « the upper quartile for Data Set B. the median of Data Set B. Therefore, | the median number of works of art in Data Set A is higher the range for the number of works of art in Data Set B. skewed left ¥ , and the data for the number of works of art in Data Set B is 9/12

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6/5/24, 1:50 AM Exam: Data and Statistics, Part 1 The interquartile range for Data Set Ais | lessthan X the interquartile range for Data Set B. Question 16 Use the following information and the table to answer the question. Niko surveyed a group of students to determine how many of them play a musical instrument. His survey results are found in the following two-way frequency table. Insltal!:)r,nsent Dr:sst:l:epr:fy Total Boys 12 _[blank B] 25 Girls _[blank A] 9 24 Total 27 22 49 Select the two answers that correctly fill in the missing values in the table. Select one answer for blank A, and select one answer for blank B. blank B: 31 ‘ blank B: 13 v blank A: 33 ‘ blank A: 15 v blank B: 33 blank A: 39 Question 17 A recent social survey asked whether respondents believed that Antarctic penguins were threatened. The responses are summarized in the table below. Answer Male Female Total Agreatdeal 123 200 323 Some 150 164 314 Notatall 28 16 44 Total 301 380 681 A respondent is randomly selected among those who believe that penguins are threatened "a great deal." Approximately what is the probability that this respondent will be female? 62% v 38% https://primaverahs.strongmind.com/courses/30115/assignments/31139827?module _item_id=8722603 10/12

6/5/24, 1:50 AM https://primaverahs.strongmind.com/courses/30115/assignments/31139827?module _item_id=8722603 53% 29% Exam: Data and Statistics, Part 1 Question 18 Use the information in the two-way frequency table to answer the question. With Without Coconut Coconut Chocolate Candies 7 8 White Chocolate Candies 4 6 Total 11 14 Total 15 What is the relative frequency of white chocolate candies with coconut? 40% 36% 28% 16% Question 19 Clara asked some students in two different grades which superpower they would choose: the ability to stop and start time or the ability to fly. She put the results in the following two- way frequency table. What percent of the sophomores surveyed chose the ability to fly? 72% 51% 35% R2A07 Sophomores 3( Fly Total 20 65 51 81 71 146 11/12

6/5/24, 1:50 AM VI /U Exam: Data and Statistics, Part 1 Question 20 Use the following information and the table to answer the question. Teenagers at an international youth conference were surveyed to determine their primary languages. The results appear in the following frequency table. What percent of the students speak primarily Spanish? 40% Spanish German Chinese Total 40 26 14 80 30 38 12 80 70 64 26 160 ©2023 StrongMind, Inc. All Rights Reserved https://primaverahs.strongmind.com/courses/30115/assignments/31139827?module_item_id=8722603 12/12

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