Question

2.2.15

Question Help
Number of Children Number of
under 5
Households
To predict future enrollment in a school district, fifty households within
the district were sampled, and asked to disclose the number of
children under the age of five living in the household. The results of
the survey are presented in the table. Complete parts (a) through (c)
below
(a) Construct a relative frequency distribution of the data.
Number of Relative
Children under 5 Frequency
0.34
0.28
0.28
0.06
0.04
(Type integers or decimals. Do not round.)
(b) What percentage of households has two children under the age of 5?
Enter your answer in the answer box and then click Check Answer

Answer 1

To calculate the percentage of households with two children under the age of 5, divide the frequency of 2 by the total number of households and multiply by 100.

Step-by-step explanation:

To calculate the percentage of households with two children under the age of 5, we need to find the relative frequency of 2 in the given data. The relative frequency is calculated by dividing the frequency of 2 by the total number of households, which is 50 in this case. The frequency of 2 is 0.06, so the relative frequency of 2 is 0.06/50 = 0.0012. To convert it to percentage, we multiply by 100, so the percentage of households with two children under the age of 5 is 0.0012 * 100 = 0.12%.

Answer 2

Step-by-step explanation:

a)

Number of children under 5 Number of household Relative frequency

0 17 17 / 50 = 0.34

1 14 14 / 50 = 0.28

2 14 14 / 50 = 0.28

3 3 3 / 50 = 0.06

4 2 2 / 50 = 0.04

50

Note,

Relative frequency = Class frequency / Total Frequency

b) Percentage of households has two children under the age of 5 ,

=
`(14)/(50)` x 100

= 0.28 x 100

= 28%