QUESTION IMAGE
Question
the data to the right represent the cost of living for 20 states. the cost of living is a measure of 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. use these data to construct a frequency distribution with a first class of 88.0 - 99.9. fill in the missing classes and the frequency for each class below. cost of living number of states 88.0 - 99.9 136.0 - 147.9 20 (type integers or decimals. do not round.)
First, list all 20 cost of living values clearly (correcting potential typos in the original data display, assuming each row has 5 values):
162.2, 126.5, 99.8, 93.2, 91.9,
150.2, 123.9, 98.6, 93.2, 91.3,
135.1, 121.1, 95.8, 92.7, 90.5,
131.4, 103.7, 95.2, 92.5, 89.6
Step1: Determine class width
First class is 88.0-99.9, so width = 99.9 - 88.0 = 11.9. Next classes add 11.9 to bounds.
Step2: List all classes
Classes: 88.0-99.9, 100.0-111.9, 112.0-123.9, 124.0-135.9, 136.0-147.9, 148.0-159.9, 160.0-171.9
Step3: Count frequencies
- 88.0-99.9: 89.6,90.5,91.3,91.9,92.5,92.7,93.2,93.2,95.2,95.8,98.6,99.8 → 12
- 100.0-111.9: 103.7 →1
- 112.0-123.9:121.1,123.9→2
-124.0-135.9:126.5,131.4,135.1→3
-136.0-147.9: none →0
-148.0-159.9:150.2→1
-160.0-171.9:162.2→1
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| Cost of living | Number of states |
|---|---|
| 100.0-111.9 | 1 |
| 112.0-123.9 | 2 |
| 124.0-135.9 | 3 |
| 136.0-147.9 | 0 |
| 148.0-159.9 | 1 |
| 160.0-171.9 | 1 |
| Total | 20 |