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101 14. A recent survey of universities and colleges in each state was co sities and colleges was recorded for each of the fifty states. A histogr am of the results is given in Figure 7.2 (a) States with the hi ghest amount of colleges Figure 7.2: Number of colleges and universities in each of the fifty states and universities fall within what range? (b) It is most common for a state to have what number of universities? That is, give the range represented by the mode. (c) Approximately how many states have at * least 400 universities? d) Approximately what proportion of states have at least 400 universities? )Approximately what proportion of states have at most 200 universities? 0 200 400 600 800 1000 1200 1400 Number of Colleges and Universities o ernenditures for medical procedures across the
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Solution:-

a) The state with the highest amount of colleges and Universities fall within range of 1200 to 1400 Universities.

b) 0 to 200 number of Universities are most common for a state.

c) 5 states have at-least 400 Universities.

d) The proportion of states that have at-least 400 Universities = 0.10

The number of states have at-least 400 Universities = 5

Total number of states = 37 + 8 + 3 + 1 + 1 = 50

The proportion of states that have at-least 400 Universities = 5/50

The proportion of states that have at-least 400 Universities = 0.10

e) The proportion of states that have at-most 200 Universities = 0.74

The number of states have at-most 200 Universities = 37

Total number of states = 37 + 8 + 3 + 1 + 1 = 50

The proportion of states that have at-most 200 Universities = 37/50

The proportion of states that have at-most 200 Universities = 0.74

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