1. A sample of 80 adults was taken, and these adults were asked about the number of eyeglasses they possess. The following table gives the frequency distribution of their responses.
Number of eyeglasses Number of adults
0 to 3 18
4 to 7 26
8 to 11 22
12 to 15 11
16 to 19 3
a. Find the class boundaries and class midpoints.
b. Do all classes have the same width? If so, what is this width?
c. Prepare the relative frequency and percentage distribution columns.
d. What percentage of these adults possess 8 or more credit cards?
Answers
Answer:
vijay nath dewana singh chauhan
Given : A sample of 80 adults was taken, and these adults were asked about the number of eyeglasses they possess. The following table gives the frequency distribution of their responses.
Number of eyeglasses Number of adults
0 to 3 18
4 to 7 26
8 to 11 22
12 to 15 11
16 to 19 3
To find : the class boundaries and class midpoints.
Solution:
class boundaries and class midpoints. f cf
-0.5 to 3.5 1.5 18 18
3.5 to 7.5 5.5 26 44
7.5 to 11.5 9.5 22 66
11.5 to 15.5 13.5 11 77
15.5 to 19.5 17.5 3 80
all classes have the same width
Class width = 4
percentage of these adults possess 8 or more =100 * (22 + 11 + 3) / 80
= 100 * 36 / 80
= 45 %
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