To predict future enrollment in a school district, fifty households within the d

Question

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 Number of Children Number of household. The results of the survey are presented in the table. Complete parts (a) through (c) below under 5 Households 0 16 14 (a) Construct a relative frequency distribution of the data Number of Children under 5 Relative Frequency (Type integers or decimals. Do not round.) (b) What percentage of households has two children under the age of 5? (Type an integer or a decimal. Do not round.) (c) What percentage of households has one or two children under the age of 5? (Type an integer or a decimal. Do not round.)

Explanation / Answer

Total number of households ( n ) = 16+14+13+5+2 = 50

Relative frequency = frequency / Total frequency ( n )

a) Relative frequency distribution of given data as follows,

b) Relative frequency of 2 children = 0.26

In percentage = 0.26 * 100% = 26%

Therefore, there are 26% of households has two children under the age 5.

c) Relative frequency of 1 or 2 children=0.28+0.26 = 0.54

In percentage = 0.54 * 100% = 54%

Therefore, there are 54% of households has one or two children under the age 5.

Nunber of children under 5 Relative frequency 0 16/50 = 0.32 1 14/50 = 0.28 2 13/50 = 0.26 3 5/50 = 0.10 4 2/50 = 0.04

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