Question

421(26Pts)Page 47. Problem 42: a, b. 42. A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and used the computer as a part of their work. 9.3 53 63 8.8 65 0.6 52 6.6 9.3 4.3 6.3 2.1 27 0.4 37 3.3 1 27 67 6.5 4.3 9.7 7.7 5.2 1.7 8.5 42 55 51 56 54 48 21 10.1 13 56 24 24 47 1.7 20 6.7 1.1 67 22 2.6 98 6.4 49 52 45 93 79 4.6 43 4.5 92 8.5 6.0 8.1 a. Organize the data into a frequency distribution. How many classes would you suggest? What value would you suggest for a class interval? b. Draw a histogram. Interpret your result.

Answer 1

Since the lowest value in the data set is 0.4 and the highest id 10.1, we can make 6 class intervals, each of width 2. Thus, starting from 0-2, 2-4, 4-6 and so on.

We now organise our data in the frequency distribution according to our class intervals:

Thereafter, we count the number of observations in each class and construct our frequency table:

Now, we will construct our histogram,

Thus, from the shape of the histogram it can be seen that it is a symmetric distribution .