Question

the accompanying data set lists the numbers of children of world leaders. use the data to construct a frequency distribution using six classes and to create a frequency polygon. describe any patterns.

click the icon to view the data set.

complete the frequency distribution table.

data set
numbers of children
5, 3, 3, 2, 2, 16, 1, 6
2, 2, 6, 5, 4, 3, 3, 6
4, 4, 0, 5, 3, 5, 0, 6
4, 2, 1, 5, 3, 4, 1, 7
7, 16, 0, 6, 4, 15, 10, 12
9, 6, 9

Explanation:

Calculate class width

Find range and divide.
Using the Class Width Calculation knowledge point:

$$
LATEXBLOCK0
$$

Determine class limits

Set up six classes.
Using the Data Binning knowledge point:

$$
LATEXBLOCK1
$$

Calculate class midpoints

Find average of limits.

$$
LATEXBLOCK2
$$

Count class frequencies

Tally data values.
Using the Frequency Distribution knowledge point:
Data: 5, 3, 3, 2, 2, 16, 1, 6, 2, 2, 6, 5, 4, 3, 3, 6, 4, 4, 0, 5, 3, 5, 0, 6, 4, 2, 1, 5, 3, 4, 1, 7, 7, 16, 0, 6, 4, 15, 10, 12, 9, 6, 9
Total count = 43 values.

$$
LATEXBLOCK3
$$

Answer:

Class	Frequency	Midpoint
3 - 5	17	4.0
6 - 8	8	7.0
9 - 11	3	10.0
12 - 14	1	13.0
15 - 17	3	16.0