Texas Success Initiative (TSI) Mathematics Assessment
Data Analysis, Statistics and Probability Sample Questions
Compiled by Abel L. Villarreal ACC Mathematics Adjunct Instructor/SAC Learning Lab Tutor Revised November 2016
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TSI Assessment Data Analysis, Statistics, and Probability Sample Questions (11/16) Answer the following. 1. If two fair 6-sided dice are rolled, how many different pairings are possible? 2.
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A school cafeteria offers 2 main entrees, 3 fruits, 2 4 vegetables, 5 desserts, and 3 drinks. If a plate consists of 1 entree, 1 vegetable, 1 dessert, 1 fruit, and 1 drink how many different plates can a cafeteria manager make?
For #3 to 8, use the following information. A bag contains marbles of different colors: 6 pink, 8 green, 5 orange, and 9 white. 3.
What is the probability that Tim will select a green marble?
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4.
What is the probability that Sue will select an orange marble?
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5.
What is the probability that Joe will not select a pink marble?
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6.
What is the probability that Ben will select a either 6 a white or a green marble?
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What is the probability that Sue will select a green 7 marble and then a white marble without replacing the first marble?
8.
What is the probability that Joe will select a pink marble and then an orange marble with replacing the first marble?
8
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TSI Assessment Data Analysis, Statistics, and Probability Sample Questions (11/16)
Computer Value (dollars)
Use the graph to answer the following. Sam purchased a new computer to update his record keeping. The graph below shows the computer value over a period of time. d 1000 900 800 700 600 500 400 300 200 100 t 0 1 2 3 4 5 6 Elapsed Time Since Purchase (in years)
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How much dollar value is the computer losing annually?
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The computer value will reach half of the original cost in about ? years.
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11.
The computer depreciates about ? % from year 1 to year 2.
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12.
The computer is replaced when it depreciates at least 70% of its original value. Replacing a computer will occur in about ? years.
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TSI Assessment Data Analysis, Statistics, and Probability Sample Questions (11/16) Use the table below to answer the following. A metal recycler uses two small and identical metal carts that holds recycled metal while being weighed. The table below shows the total weight, including the carts, of various metal weights. # of Recycled cart Metal loads (in lb) 2
340
4 6 8
590 840 1090
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1340
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How much will each empty cart weigh?
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If Sam needs to move 2,500 pounds of recycled metal from one location to another, how many cart loads must he make?
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Diagnostic Data Analysis, Statistics, and Probability Key (11/16)
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36
2.
2•4•5•3•3= 360
3.
2 7
4.
5 28
5.
11 14
6.
17 28
7.
2 21
8.
15 392
9.
$180 to $200 per year
€ €
€ € €
€ 10.
about 2.5 to 3 years
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about 19% to 22%
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almost 4 years
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340 = 2carts + ore wt. 340 = 2n + (590–340) 340 = 2n + 250 n = 45 lbs.
14. 2(cart + ore wt.) = 340 lbs 2(45 + x) = 340 90 + 2x = 340 2x = 250 x = 125 lbs of ore per cart now 2500 ÷ 125 = 20 cart loads
