The data in the accompanying table represent the cost of undergraduate tuition a
ID: 3041458 • Letter: T
Question
The data in the accompanying table represent the cost of undergraduate tuition and fees for all 4-year public and private nonprofit colleges in a country in a recent year. What percentage of 4-year colleges have tuition and fees below $4,000? What percentage of 4-year colleges have tuition and fees of $20,000 or more?
Tuition (dollars)
Number of 4-Year Colleges
0-1,999
18
2,000-3,999
132
4,000-5,999
308
6,000-7,999
180
8,000-9,999
106
10,000-11,999
99
12,000-13,999
89
14,000-15,999
98
16,000-17,999
125
18,000-19,999
116
20,000-21,999
117
22,000-23,999
100
24,000-25,999
83
26,000-27,999
52
Explanation / Answer
Total number of colleges in the sample = 18 + 132 + 308 + 180 + 106 + 99 + 89 + 98 + 125 + 116 + 117 + 100 + 83 + 52 = 1623
Hence,
Proportion of colleges having fee less than $4000 = (18 + 132)/1623 = 150/1623 = 0.0924 [Rounded to 4 decimals]
Proportion of colleges having fee $20000 or more = (117 + 100 + 83 + 52)/1623 = 352/1623 = 0.2169 [Rounded to 4 decimals]
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