Algebra II Practice Test

Unit Twelve – Probability and Statistics

Name______Period_____Date______

NON-CALCULATOR SECTION

Vocabulary: Define each word and give an example.

  1. Interquartile Range (IQR)
  1. Combination
  1. Experimental Probability
  1. Compound Event

Short Answer:

  1. Name the measures of central tendency and describe how to calculate each one.
  1. What is the Fundamental Counting Principle, and when is it used?

Review:

  1. Solve the rational equation:
  1. List the possible rational zeros of the function. Then find all the zeros of the function.
  1. Simplify the expression:

Problems:

**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**

  1. Evaluate the following:
  1. b. c.
  1. Find the number of distinguishable permutations of the letters in the word WATERFALL.
  1. Two number cubes are tossed. What is the probability that the sum of the cubes is 9?

Multiple Choice Questions: Circle the best answer.

  1. In the 1980’s, the standard configuration for a Wyoming license plate was a small number between 1 and 23, inclusive, followed by four digits with repetition allowed. How many license plates were possible for the entire state of Wyoming in the 1980’s?
  1. 116,000
  2. 230,000
  3. 300,000
  4. 1,000,000
  1. Which is a term of the expanded form of ?
  1. Which of these measures are greatly influenced by extreme values?
  1. Mean
  2. Median
  3. Interquartile Range
  4. Range
  1. IV only
  2. I and IV only
  3. II and III only
  4. I, III, and IV only
  1. Use the following data, which represents the test scores from a student.

92, 94, 87, 76, 69, 82, 62, 90, 76, 82, 85, 87, 64, 61, 95, 87

  1. Find the median.
  1. Find the lower quartile.
  1. Find the upper quartile.
  1. Find the range.
  1. Find the interquartile range.
  1. Find the mode.
  1. Create a frequency table for the data using the intervals 61-70, 71-80, 81-90, 91-100.
  1. Draw a histogram for the data.
  1. Draw a box-and-whisker plot for the data.

Algebra II Practice Test

Unit Twelve – Probability and Statistics

Name: ______Period______Date______

CALCULATOR SECTION

Directions: Show all work. A calculator may not be necessary to solve some of the problems.

  1. An alarm code is created using 3 letters (other than O) and 4 digits. How many different alarm codes are possible if the letters and digits cannot be repeated?
  1. Auditions are being held for the school play, Wizard of Oz. If 10 people audition for the roles of the lion, scarecrow, and tin man, how many ways can the roles be assigned?
  1. An English teacher assigns her students to read 5 books from a list of 20. How many ways can a student chose 5 books to read?
  1. Use the binomial theorem to write the binomial expansion.
  1. What is the coefficient of the term in the expansion of ?
  1. What is the probability of drawing a 4 and then a face card from a standard 52-card deck without replacement?
  1. A family of 4 is each choosing 1 of 8 possible vacations. What is the probability that each family member picks a different vacation for his or her first choice?
  1. A dart is thrown randomly at the figure shown. What is the geometric probability that the dart will land in the shaded region if the side of the square is 10?
  1. There are 25 students in a math class. On Friday, the class took a test on which the class average was an 84. One student was absent. What would the student have to score on the test in order to bring the class average up to an 85?

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