Question

the accompanying data set lists the numbers of children of world leaders. use the data to construct a frequency distribution using six class
0 - 2 18 1
3 - 5 8 4
6 - 8 8 7
9 - 11 3 10
12 - 14 3 13
15 - 17 3 16
create a frequency polygon. choose the correct graph below.
describe any patterns. choose the correct answer below.
a. the data show that most of the 43 world leaders had fewer than 2 children.
b. the data show that most of the 43 world leaders had more than 11 children.
c. the data show that most of the 43 world leaders had fewer than 6 children.
d. the data show that most of the 43 world leaders had more than 17 children

Explanation:

Step1: Calculate frequencies

From the frequency - distribution table:
For the class $0 - 2$, frequency $f_1=18$; for $3 - 5$, $f_2 = 8$; for $6 - 8$, $f_3=8$; for $9 - 11$, $f_4 = 3$; for $12 - 14$, $f_5=3$; for $15 - 17$, $f_6=3$. The total number of data points $n=18 + 8+8 + 3+3+3=43$.

Step2: Analyze patterns

The frequency of the class $0 - 2$ is $18$, which is the highest among all the classes. This means that a large number of world - leaders have fewer than 6 children.

Answer:

C. The data show that most of the 43 world leaders had fewer than 6 children.