Questions 1 through 4: The scores below were obtained on the final examination in anintroductory math class of 40 students.988098 76799471 4589 716261 958365 585689668774757275489575 51 846961691. Draw a dot plot to organize these data.2. Draw a stem and leaf plot to organize these data.3. Make a histogram for the data using the ranges 90-100, 80 - 89, etc.76 77 4 76644958338886 24. Using the same ranges, draw a line graph (frequency polygon) for the data.

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Answered: Questions 1 through 4: The scores below…

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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3. The number of goals scored by Wayne Gretzky was recorded for seasons 1978 – 1999. (Please note the data set has been ordered from smallest to the largest for your convenience). 5, 9, 11, 16, 23, 23, 31, 38, 40, 40, 41, 46, 51, 52, 54, 55, 62, 71, 73, 87, 92 A. Construct a stem-and-leaf display for the data and describe the shape of the distribution (symmetric, skewed left, skewed right, bell-shaped, etc., any obvious outliers). B. What is the fraction of the data that is less than or equal to 31? C. Given that Ex, = 920 and Ex = 52 436 find the mean and standard deviation. D. Find the (i) median, (ii) Q1, (iii)Q:, (iv) the interquartile range (IQR), (v) the lower and upper fences. E. Construct a Box-plot for the data. What are your conclusions about the shape of the distribution? Compare with the results in Part A. F. Would the mean or the median be the most suitable measure to use to represent the central location of this distribution? Give reasons for your answer.
2 The data set below is used for questions 1-3. The times for 35 students to take a final exam (in hours) are listed below: The data is listed in rows with 5 values each, just for your convenience in reading them. There is nothing special about the groupings. 0.2, 0.5, 0.7, 1.1, 1.2, 1.2, 1.3, 1.4, 1.4, 1.4, 1.5, 1.5, 1.6, 1.6, 1.7, 1.9, 2.0, 2.1, 2.1, 2.2, 2.3, 2.5, 2.6, 2.8, 2.9, 3.0, 3.0, 3.1, 3.7, 3.7, 4.0, 4.1, 4.5, 5.1, 5.8 Which distribution might be appropriate for this data? For the instructor, this was question 3. X Binomial X Exponential / Gamma X Negative binomial X Normal X Poisson
Describe the shape of the data presented: 40.0% 35.0% 30.0% 25.0% 20.0% 15.0% 10.0% 5.0% 0.0% 36.1% 24.5% Ethnicity of Students Skewed to the right Skewed to the left Symmetric None of the above 17.1% 9.6% Asian White Hispanic Other/ Unknown 5.8% 5.3% Black Filipino 1.0% 0.6% Pacific Native Islander American
Solve. 4) Construct a box plot from the data below. 20 25 26 26 26 272933 41 43 45 46 47 4850 50 50 51 53 55 57 60 61 62 63
The following is data for the first and second Quiz scores for 8 students in a class. First Quiz Second Quiz 11 11 18 13 19 17 24 19 42 39 44 39 45 42 47 45 Plot the points in the grid below. 50+ 45 40 35 30 25 20 15 10 5 10 15 20 25 30 35 40 45 50
Twenty salesmen were asked how many phone calls they made on a givan day. The data was ecorded in the table balow. Construct a dot plot for the sat. 15 12 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 34 5
Males 74 75 69 72 75 73 88 76 71 64 67 71 72 82 71 83 82 78 80 81 75 Females 75 57 61 71 79 78 81 65 57 80 73 83 86 79 65 70 69 76 55 66 79 5. Construct stem-and-leaf plots for each data set using four stems. You should have two separate plots: one for men and one for women. 6. Why is it important to have the same stems for both plots, even though one plot has an empty stem? 7. Comment on the distributions. What type on conclusions can you make about the heart rates of males and females? Do they appear to be very different?
Which country of origin appears to have the highest “typical” miles per gallon? [ Select ] ["USA", "Sweden", "France", "Japan", "Italy", "Germany"] Which country of origin has the most variation in miles per gallon? [ Select ] ["Sweden", "USA", "France", "Italy", "Japan", "Germany"]
The following data are the maximum temperatures (in degrees Fahrenheit) of 17 cities in the United states measured on the same day. 53 70 65 74 85 76 84 70 61 59 54 66 56 71 81 73 76 Construct a box and whisker plot for the data.
Question 8 The following data set contains the number of minutes spent by each of 20 students in the class to write the assignment. 42 48 59 61 62 62 64 65 66 68 68 70 71 71 72 72 78 79 84 88 a. Find the median, the first and the third quartiles, and the interquartile range. b. Find the left outer fence, left inner fence, right inner fence, and right outer fence. c. Find the length of left whisker and the length of right whisker in the box – whisker plot. d. List all outliers (if any) in the last row. If there are no outliers state “none”.List all extreme values (if any) in the last row. If there are no extreme values state “none”. Show work for the calculations for Part B and Part C.
The dot plot shows the grades received on a recent test. : 十 70 75 80 85 90 95 100 Question 1: What is the range of the data? Question 2: What is the median of the data? the mode of the data? Question 3: What is Question 4: What is the mean of the data?
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,994lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 5,994/37lb=162lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 181.6lb and a standard deviation of 36.2. The probability is approximately?

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