Name Extra Credit Problem 1 Use the following data set The d

Name: Extra Credit Problem 1. Use the following data set. The data set represents incomes (in thousands of dollars) of 20 employees at an engineering firm. 50, 48, 46, 59, 44, 43, 35, 59, 48, 53, 46, 59, 52, 48, 51, 59, 53, 51, 53, 52 (a) Find the range, mean, median, and mode of the data set. Range: Mean: Median: Mode: (b) Make a frequency distribution for the data set using 5 classes. Include class midpoints, frequencies, and relative frequencies. (Use the attached graph paper.) (c) Make a relative frequency histogram using the frequency distribution in (b). (Use the attached graph paper.) (d) Determine which class has the greatest relative frequency and which has the least. Greatest Relative Frequency: Least Relative frequency: 1Problem 2. The table shows the results of a survey in which 622 men and 644 women ages 25 to 46 were asked if they like Coke or Pepsi. Men Women Total Likes Pepsi 325 284 609 likes Coke 297 360 657 Total 622 644 1266 (a) Find the probability that a randomly selected person likes Pepsi. (a) (b) Given that a randomly selected person is male, find the probability that the person likes coke. (b) (c) Given that a randomly selected person likes Pepsi, find the probability that the worker is a female. (c) (d) Are the events

Solution

1. Use the following data set. The data set represents incomes (in thousands of dollars) of 20 employees at anengineering firm.
50, 48, 46, 59, 44, 43, 35, 59, 48, 53,
46, 59, 52, 48, 51, 59, 53, 51, 53, 52

mean =50.45

Median:(51+51)/2 = 51

Mode:=59

range=59- 35=24