12 Chapter Test

Do you know HOW?

Simplify.

1. [ 0 − 3 2 0 1 − 1 ] − [ 2 0 − 1 1 − 2 3 ] . matrix with 3 rows and 2 columns , row1 column 1 , 0 , column 2 negative 3 , row2 column 1 , 2 , column 2 0 , row3 column 1 , 1 , column 2 negative 1 , end matrix . minus . matrix with 3 rows and 2 columns , row1 column 1 , 2 , column 2 0 , row2 column 1 , negative 1 , column 2 1 , row3 column 1 , negative 2 , column 2 3 , end matrix
2. − 3 [ 1 2 − 1 0 − 2 3 − 3 1 0 ] negative 3 . matrix with 3 rows and 3 columns , row1 column 1 , 1 , column 2 2 , column 3 negative 1 , row2 column 1 , 0 , column 2 negative 2 , column 3 3 , row3 column 1 , negative 3 , column 2 1 , column 3 0 , end matrix

Tell whether each histogram is uniform, symmetric, or skewed.

3. 
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5. Sports The 400-m race times (in seconds) for a track team are listed below. Make a frequency table and a histogram that represent their times.

   58 54 63 56 60 58 72 61 60 59 57 52 66 68

6. Landscaping The hours a gardener worked over the past 14 weeks are listed below. What are the mean, median, mode, and range of the hours the gardener worked? Which measure of central tendency best describes the data?

   39 52 41 44 47 36 51 44 50 40 53 46 44 35

7. Diving The weights of 8 scuba divers, without tanks, are 85, 103, 94, 97, 88, 91, 104, and 95 kg. A tank weighs 15 kg. What are the mean, median, mode, and range of the divers' weights with tanks?

Identify the minimum, first quartile, median, third quartile, and maximum of each data set. Then make a box-and-whisker plot of each data set.

8. test scores: 87 52 91 66 79 56 73 90 78 51 83
9. speeds (mi/h): 41 19 31 13 48 22 61 30 34 37
10. Out of 10 dogs, 4 weigh no more than 12.5 kg. What is the percentile rank of the weight 12.5 kg?
11. Cafeteria A teacher asks a student chosen at random from each table in the cafeteria for his or her opinion of school food. Will this survey method give a good sample? Explain.
12. Security Suppose a password contains 4 lowercase letters. How many permutations are possible if no letters are repeated?
13. What is the value of   6 C 3 ? sub 6 , cap c sub 3 , question mark

The spinner below is divided into four equal sections. Find the theoretical probability of landing on the given section(s) of the spinner.

14. P(orange)
15. P(blue)
16. P(not green)
17. Suppose you choose a tile at random from a bag containing 5 X's, 4 Y's, and 3 Z's. You replace the first tile in the bag and choose again. What is the probability of choosing 2 Y's?
18. Suppose you choose a marble at random from a bag containing 3 blue, 5 yellow, and 7 red marbles. You choose a second marble without replacing the first. What is the probability of choosing 2 blue marbles?

Do you UNDERSTAND?

19. Reasoning Could a student use the formula P ( A  or  B ) = P ( A ) + P ( B ) − P ( A  and  B ) p open eh , or b close equals p open eh close plus p open b close minus p open eh , and b close  to solve a problem about mutually exclusive events and get the correct answer? Explain.
20. Writing How do you calculate interquartile range? How is this measure useful?
21. Open-Ended Give examples of univariate and bivariate data. How do these types of data differ?
22. Reasoning Is it possible for r to be greater than n in   n C r ? sub n , cap c sub r , question mark  Explain.

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