Question

1. Millions of Americans get up each morning and go to work in their offices at home. The growing use of personal computers is suggested to be one of the reasons more people can operate-at-home businesses. Following is a sample of age data for individuals working at home.

22. 58 24 50 29 52 57 31 30 41

44. 40 46 29 31 37 32 49 29

1. Compute the mean and mode.
2. The median age of the population of all adults is 35.1 years (U.S. Census Bureau, November 1, 1997). Use the median age of the preceding data to comment on whether the at-home workers tend to be younger or older than the population of all adults.
3. Compute the first and third quartiles.

Answer 1

a. . Calculate mean and mode

mean = (xi)/n where n = 17

mean = 665/17 = 39.1177

mode = maximum time occuring value = 29 (It is repeated 3 times in the data)

b The median age based on above data is 37 > 35.1 (U.S cenus bureau) which means that at home workers are older than the population of all adults.

c. Compute first and third quartile

First quartile : It is the number below which 25% of the data lies : (n+1)/4 = 29.5

Third quartile : It is the number below which 75% of the data lies : (3*(n+1))/4 = 49.5 where n = 17