Use the following stemandleaf plot representing the starting

ALGEBRA 1 Exam 13 Use the following stem-and-leaf plot, representing the starting salary (in thousands of dollars) of ten friends after college graduation, to complete problems 30 through 38. 1 7 9 2 01334 3 0 3 4 0 Key: 117x17 30. List the values from the stem and leaf plot in numerical order 31. What is the mode of this distribution? 32. What is the mean of this distribution? 33. Explain how you would find the median. What is the median for this set? Eo 34. Explain how you would find the lower quartile. What is the lower quartile for this set? morc

Solution

30. The values are listed below from the stem and leaf plot:

17,19,20,21,23,23,24,30,33,40.

31. The mode is the number that occurs most the data set. Here the mode is 23.

32. The mean of the distribution is: (17+19+…+40)/10=25

33. The median is the average of the middle two numbers: (23+23)/2=23

34.The lower quartile is: (19+20)/2=19.5

35.The upper quartile is (30+33)/2=31.5