Exam part 1 data and statistics

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Jun 19, 2024

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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

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

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