The following are the number of home runs hit by home run champions for the years 1975 to 1989. Draw a​ box-and-whisker plot for the distribution of the number of home runs. 11​, 25​, 28​, 17​, 28​, 31​, 47​, 17​, 45​, 28​,

1. For the following data set find the mean, median, mode, and midrange.10, 3, 2, 8, 5, 10, 6, 12, 19, 10, 25, 7.

Find the original data from the stem-and-leaf plot.  Stem leaves  76 358 77 348 78 18

Below are numbers of hours that a sample of 19 college graduates reported working last week. 50, 58, 57, 52, 41, 38, 46, 53, 58, 68, 48, 52, 57, 65, 44, 62, 47, 42, 63 Send data to calculator Send data to Excel Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data. ? +++++D 50 55 60 65 70 35 40 45 Number of hours worked

8. Construct a box plot for the following data by finding the min, Q1, median, Q3, the max, and the IQR. 59, 50, 65, 68, 72, 80, 82

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.

4.3) •VA report from Texas Transportation Institute (Texas A&M University System 2005) on Congestion Re- duction Strategies looked into the extra travel time (due to traffic congestion) for commute travel per traveler per year in hours for different urban areas. Below are the data for urban areas that had a population of over 3 million for the year 2002. Extra Hours per Traveler per Year Urban Area Los Angeles San Francisco 98 75 Washington DC Atlanta 66 64 Houston 65 Dallas, Fort Worth Chicago Detroit 61 55 54 Miami 48 Boston 53 New York 50 Phoenix 49 Philadelphia 40 4. Compute the mean and median values for extra travel hours. Based on the values of the mean and median, is the distribution of extra travel hours likely to be approximately symmetric, positively skewed, or negatively skewed?

Use the following table to answer Questions 11 – 14. The numbers represent the points scored in 20 high school basketball games. 25 33 33 43 44 49 50 53 54 54 54 54 57 58 62 63 63 65 66 69 11. Construct a frequency distribution table of the data. Use class width of 10 and start first class with 20.

8, 9, 10, 12, 18, 22, 23, 25, 25, 27, 28, 29, 31, 39, 39, 43. Notice that the numbers are ordered from least to greatest. Make a box-and-whisker plot for the data.

A)Find the mean, median, mode, and range for the following data set 59,65,70,71,71,74,75,78,80,83,84,87,91,98,100 B)find the five number summary and draw a box plot. Briefly describe the shape and variation of the distribution. Explain your results.