Question

14. A recent survey of universities and colleges in each state was conducted. The number of univer- sities and colleges was recorded for each of the fifty states. A histogram of the results is given in Figure 7.2 (a) States with the highest amount of colleges Figure 7.2: Number of colleges and universities in fall within what range? cof the fifty states (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 d) Approximately what proportion of states (e) Approximately what proportion of states 3 least 400 universities? have at least 400 universities? have at most 200 universities? 0 200 400 600 800 1000 1200 1400 Number of Colleges and Universities

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Answer #1

Approximated frequencies are as follows 37.5 8 0 7.5 0 200 400 600 800 1000 1200 1400 Number of Colleges and Universities

Calculations as follows

a) Highestamount colleges and universities fall with in the range is-0 to 200 b) The range represented by the mode is 600- 800 and 1200 -1400 c Approximately 5*50-250 states d) Required proportion is - 0.1 e) Required propoon-0.75 37.5

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