Problem

The following data represent the living situation of newlyweds in a large metropolitan area and their annual household income. Construct the marginal frequency distribution. \begin{tabular}{|l|l|l|l|l|} \hline & $<\$ 35,000$ & $\$ 35,000-50,000$ & $>\$ 50,000$ & Total \\ \hline $\begin{array}{l}\text { Own } \\ \text { Home }\end{array}$ & 83 & 202 & 879 & \\ \hline $\begin{array}{l}\text { Rent } \\ \text { Home }\end{array}$ & 133 & 52 & 34 & \\ \hline $\begin{array}{l}\text { Live } \\ \text { with }\end{array}$ & 158 & 30 & 6 & \\ \hline Family & 150 & & \\ \hline Total & & & \\ \hline \end{tabular} How many newlyweds make between $\$ 35,000$ - \$50,000?

Solution

Step 1 :The question is asking for the total number of newlyweds that make between $35,000 and $50,000. This can be found by summing the values in the "$35,000-50,000" column.

Step 2 :Let's denote the number of newlyweds who own a home and make between $35,000 and $50,000 as 'own_home', which is 202.

Step 3 :Let's denote the number of newlyweds who rent a home and make between $35,000 and $50,000 as 'rent_home', which is 52.

Step 4 :Let's denote the number of newlyweds who live with others and make between $35,000 and $50,000 as 'live_with', which is 30.

Step 5 :The total number of newlyweds that make between $35,000 and $50,000 can be calculated as the sum of 'own_home', 'rent_home', and 'live_with'.

Step 6 :\(\text{total} = \text{own_home} + \text{rent_home} + \text{live_with} = 202 + 52 + 30 = 284\)

Step 7 :Final Answer: The total number of newlyweds that make between $35,000 and $50,000 is \(\boxed{284}\).

From Solvely APP
Source: https://solvelyapp.com/problems/18466/

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