TSIA2 Boot Camp - Making Sense of Data – Stats & Probability

Multiple Choice

Which of the following is NOT a reason for measuring and comparing data?

• To identify patterns and trends

• To organize information for better understanding

• To make random guesses

• To answer real-world questions

Multiple Choice

Which of the following best describes the range of a data set?

• The difference between the greatest and least values

• The average of all values

• The middle value when arranged in order

• The sum of all values divided by the number of values

Multiple Choice

What is the first step you should take when finding the median of a data set?

• Arrange the data in ascending order

• Add all the numbers together

• Pick the largest number

• Pick the smallest number

Open Ended

Explain why it is important to arrange data in ascending order before finding the median. Use an example to support your answer.

​

Multiple Choice

Justin earned scores of 85, 92, and 95 on his science tests. What does he need to earn on his next science test so that the average (arithmetic mean) of the four exam scores is 93?

• 84

• 93

• 96

• 100

Multiple Choice

Haley is a high jumper, and she recorded the following heights of her practice jumps. 

56, 93, 72, 89, and 87

What is the median of her jumps?

• 87

• 85.6

• 72

• 56

Multiple Choice

What are the modes of the given data set?

23, 26, 21, 24, 23, 19, 18, 27, 19

• 19 and 21

• 19 and 23

• 21 and 23

• 23 and 27

​

​

​

​

​

​

Multiple Choice

Ellie has a bag with 1 green marble, 2 red marbles, and 4 blue marbles. 

Which choice shows the possible number of outcomes that represent the sample space for randomly picking one marble from Ellie’s bag?

• Green, Red, Blue

• Green, Red−1, Red−2, Blue−1, Blue−2, Blue−3, Blue−4

• Green, Red, Blue, Blue

• Green−1, Red−2, Blue−4

Multiple Choice

There are 16 pages in the senior program this year. $$\frac{1}{4}$$ of the pages are advertisements. What is the change of opening the program to a page that is not an advertisement?

• $$\frac{3}{4}$$

• $$\frac{1}{4}$$

• $$\frac{3}{16}$$

• $$\frac{1}{2}$$

Multiple Choice

Bethany asked for new Woobles crochet kits for her birthday, and every member of her family listened. She has 3 penguins, 2 chickens, and 1 dinosaur kit. Bethany picks a kit at random to be the first one she completes. Bethany lists the sample space of kits:

{Penguin, Chicken, Dinosaur}

Are the outcomes in Bethany's sample space equally likely? Why or why not?

• Yes, each outcome in the sample space is equally likely, because the kit is selected at random.

• Yes, each outcome in the sample space is equally likely, because a Wooble kit is selected at random.

• No, the outcomes are not equally likely because there is a different number of kits for each Wooble.

• There is not enough information to answer the question.

Multiple Choice

A school has 60% boys and 40% girls. 30% of the boys are on the basketball team. What is the probability that a randomly selected student is a boy on the basketball team?

• 9%

• 18%

• 38%

• 50%

Multiple Choice

A bag contains 10 marbles (5 red, 3 blue, and 2 green). A red marble is drawn at random, not replaced, and then a second marble is drawn. What is the probability that the second marble is blue?

• $$\frac{3}{10}$$

• $$\frac{1}{3}$$

• $$\frac{4}{9}$$

• $$\frac{1}{2}$$

Multiple Choice

Students were surveyed, and their results are shown in the diagram below. If a student is selected at random, what is the probability that they play video games or sports?

• 125%

• 100%

• 75%

• 35%

Multiple Choice

160 middle school students chose to study Astronomy or Aquatic Science and Spanish or German. If a student is selected at random, what is the probability that the student selected Astronomy and German?

• 27.5%

• 49.4%

• 50.6%

• 55.6%