Predicting School Enrollment To predict future enrollment,

Chapter 2, Problem 15E

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QUESTION:

To predict future enrollment, a local school district wants to know the number of children in the district under the age of 5. Fifty households within the district were sampled, and the head of household was asked to disclose the number of children under the age of 5 living in the household. The results of the survey are presented in the following table.

Number of Children under 5 Number of Households
0 16
1 18
2 12
3 3
4 1

(a) Construct a relative frequency distribution of the data.

(b) What percentage of households has two children under the age of 5?

(c) What percentage of households has one or two children under the age of 5?

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QUESTION:

To predict future enrollment, a local school district wants to know the number of children in the district under the age of 5. Fifty households within the district were sampled, and the head of household was asked to disclose the number of children under the age of 5 living in the household. The results of the survey are presented in the following table.

Number of Children under 5 Number of Households
0 16
1 18
2 12
3 3
4 1

(a) Construct a relative frequency distribution of the data.

(b) What percentage of households has two children under the age of 5?

(c) What percentage of households has one or two children under the age of 5?

ANSWER:

Step 1 of 3

(a)

The relative frequency is the proportion (or percent) of observations within a category and is found using the formula

\(\text { Relative frequency }=\frac{\text { frequency }}{\text { sum of all frequencies }}\)

A relative frequency distribution lists each category of data together with the relative frequency, as shown below

Number of Children under 5

Number of Households

Relative frequency

0

16

\(\frac{16}{50}=0.32\)

1

18

\(\frac{18}{50}=0.36\)

2

12

\(\frac{12}{50}=0.24\)

3

3

\(\frac{3}{50}=0.06\)

4

1

\(\frac{1}{50}=0.02\)

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