Final Exam Review

The first step of a certain job application is an exam. The exam is worth a total of 100 points. Last year there were 440 applicants. The scores on the exam were normally distributed, with a mean score of 76 points and a standard deviation of 4.2 points. Which graph BEST represents the distribution of scores?

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The 21 students in Mr. Malmer’s geometry class took a test. Their scores are represented in the boxplot below. What is the interquartile range of this set of test scores?

Mathematical Equivalence

ON

In math class, Lauren is doing a statistical experiment with a pair of dice. The matrix below shows all the possible outcomes of rolling the two dice. A “double” occurs when both dice show the same number. What is the probability that Lauren will roll “doubles” TWO times in a row? Express your answer as a fraction in lowest terms.

Mathematical Equivalence

ON

A deck of flash cards has 8 pink, 4 black, and 4 orange cards. Two cards are selected from the deck without replacement. Event A is selecting an orange card first and event B is selecting a pink card second. Which of the following describes these events?

• Events A and B are independent because the occurrence of one affects the occurrence of the other.

• Events A and B are dependent because the occurrence of one affects the occurrence of the other.

• Events A and B are independent because the occurrence of one does not affect the occurrence of the other.

• Events A and B are dependent because the occurrence of one does not affect the occurrence of the other.

Andy places 25 equal-sized cubes in a bag. There are 11 yellow, 8 green, and 6 red cubes. Andy randomly selects a cube from the bag, records the color and then replaces the cube. Then, he pulls another cube from the bag, records the color, and replaces the cube. What is the probability that the first cube was green and the second cube was yellow? Round your answer to four decimal places.

Mathematical Equivalence

ON

Mr. Malmer surveyed his class at Little Elm High School to identify the proportion of students who receive an allowance from their parents and the proportion of students whose parents assign them chores. The result of his survey is displayed in the two-way relative frequency table below. What is the significance of the value 0.42/0.58 in the context of the data?

• It represents the probability that a student in Mr. Malmer’s class has no chores, given they do not receive an allowance.

• It represents the probability that a student in Mr. Malmer’s class has chores, given they receive an allowance.

• It represents the probability that a student in Mr. Malmer’s class does not receive an allowance, given they do not have chores.

• It represents the probability that a student in Mr. Malmer’s class receives an allowance, given they have chores.

The table below shows all students at a high school taking French or Spanish courses, broken down by grade level.

Given the student chosen at random is a senior, what is the probability that the student is taking Spanish?

Mathematical Equivalence

ON

Twenty students choose a piece of fruit from a list of 4 fruits: apple, banana, grape, and pear. The theoretical probability that a student will choose a banana is 0.25. Only one student chooses a banana. How can the experimental probability get closer to the theoretical probability?

• Provide more choices of fruit.

• Only give two choices of fruit.

• Use a smaller sample size of students.

• Use a larger sample size of students.

The histogram below displays the scores on a recent exam for a class of 37 students. Scores on this exam ranged from 51 to 98 points out of 100 possible points. Which of the following statements are true about the data in the histogram? Choose ALL correct answers.

• The data in the histogram is skewed right.

• The mean and median of the data are the same.

• The mean of the data is less than the median.

• The data in the histogram is skewed left.

• The mean of the data is greater than the median.

A company sells containers of whole-grain oats to retailers. The distribution of the mass of oats in the containers is approximately normal with a mean of 454 grams and a standard deviation of 7 grams. The company will not distribute any containers of oats with a mass greater than or less than 2 standard deviations from the mean. If 200 containers of oats are selected at random at the company, approximately how many containers will likely NOT be distributed to retailers?

• 10

• 7

• 5

• 1