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Mathematics, 31.08.2021 17:10 Admin

Every year, the US Census Bureau publishes its Annual Survey of School System Finances. The back-to-back stemplot below shows the 2016 per-pupil expenditure (rounded to the nearest $100) for eastern and western states and the District of Columbia in the United States. A stemplot titled Per-pupil expenditure for U S States. 7 line 0 means 7,000 dollars per pupil. Eastern States: The values are 87, 88, 88, 89, 92, 98, 92, 92, 102, 113, 114, 117, 121, 132, 141, 142, 147, 153, 154, 155, 156, 179, 184, 190, 191, 223. Western States: The values are 70, 71, 76, 81, 90, 91, 92, 96, 97, 98, 100, 103, 105, 105, 108, 110, 112, 113, 115, 123, 123, 134, 138, 164, 175.

Based on the stemplot, which of the following is a correct comparison of the eastern and western states’ expenditures?

The western states exhibit more variability in their expenditures than the eastern states.
The eastern states have, on average, a higher per-pupil expenditure than the western states.
The distribution of per-pupil expenditures in the eastern states is more symmetric than the distribution of the western states.
The distribution of the western states’ per-pupil expenditure is skewed left, while the distribution of the eastern states’ per-pupil expenditure is skewed right.
Valid conclusions comparing the distributions cannot be made, since there is a different number of states in each group.

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