College

The data below represent the cost of living for 20 states. The cost of living measures the average price paid for housing, utilities, groceries, healthcare, transportation, and miscellaneous expenses. The national average cost of living is 100. The data can be used to compare a state to the national average and to other states.

[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
152.8 & 120.4 & 99.6 & 94.8 & 90.8 \\
\hline
135.3 & 119.5 & 96.3 & 93.3 & 90.7 \\
\hline
129.1 & 106.7 & 95.5 & 91.2 & 90.1 \\
\hline
126.8 & 101.2 & 94.9 & 90.9 & 89.4 \\
\hline
\end{array}
\][/tex]

Fill in the table below with the number of states that fall within each cost of living range:

[tex]\[
\begin{array}{|c|c|}
\hline
\text{Cost of living} & \text{Number of states} \\
\hline
85.0-94.9 & \square \\
\square-\square & \square \\
\square-\square & \square \\
\square-\square & \square \\
125.0-134.9 & \square \\
\square-\square & \square \\
\square-\square & \square \\
\hline
\end{array}
\][/tex]

Answer :

To solve this problem, we're going to categorize the cost of living for each state into different ranges and then count how many states fall into each range. Here’s how we can do it step-by-step:

1. List the Cost of Living Data:
We have the following cost of living data for 20 states:
- 152.8, 120.4, 99.6, 94.8, 90.8
- 135.3, 119.5, 96.3, 93.3, 90.7
- 129.1, 106.7, 95.5, 91.2, 90.1
- 126.8, 101.2, 94.9, 90.9, 89.4

2. Define the Ranges:
We will categorize the costs into the following ranges:
- 85.0 to 94.9
- 95.0 to 104.9
- 105.0 to 114.9
- 115.0 to 124.9
- 125.0 to 134.9
- 135.0 to 144.9
- 145.0 to 154.9

3. Count the Number of States in Each Range:
- For each cost of living figure, determine which range it falls into and increment the count for that range.

4. Results:
After categorizing and counting, we obtain the following results:
- 85.0-94.9: 9 states
- 95.0-104.9: 4 states
- 105.0-114.9: 1 state
- 115.0-124.9: 2 states
- 125.0-134.9: 2 states
- 135.0-144.9: 1 state
- 145.0-154.9: 1 state

These counts tell us how many states have a cost of living within each specific range. This kind of analysis helps compare the cost of living in different states relative to the national average.