Grade Level 64.4 Data Analysis, Probability, and Discrete Mathematics

Each of the cards below is the same shape and size. The front of each card has a letter on it, and the back of each card is blank. Jack will put them all in a bag and then, without looking, take out one card.

What is the probability that Jack will take out a card with the letter T on it?

The line plot below shows the number of books individual customers bought at a bookstore one day.

What was the total number of customers who bought more than 3 books?
A. / 4
B. / 6
C. / 7
D. / 10

Alex practiced playing the piano each day last week. The number of minutes he practiced each day is shown in the table below.

Piano Practice Time per Day

Day / Time (minutes)
Sunday / 55
Monday / 20
Tuesday / 25
Wednesday / 45
Thursday / 50
Friday / 20
Saturday / 30

What is the median number of minutes per day that Alex practiced last week?

A. / 20 minutes
B. / 30 minutes
C. / 35 minutes
D. / 45 minutes

Mr. Young wrote five numbers on the board in his classroom. After class, one of the numbers was erased. Four of the five numbers are shown below.

If the median of the five numbers that Mr. Young wrote on the board was 18, which of the following could be true?

A. / The number that was erased was greater than 30.
B. / The mode of the five numbers Mr. Young wrote on the board was 24.
C. / The mean of the five numbers Mr. Young wrote on the board was 22.6.
D. / The number that was erased was less than or equal to 18.

Ticket sales for the sixth-grade banquet are shown in the table below.

Banquet Tickets Sold

Homeroom / Number of Tickets Sold
Ms. Sanchez / 22
Ms. Blake / 28
Mr. Chang / 21
Mr. Williams / 25

What is the mean number of tickets sold per homeroom?

Travis is rolling a fair number cube with faces numbered 1 through 6. What is the probability that the result on his next roll will be an odd number?

A. / 1 out of 6
B. / 2 out of 6
C. / 3 out of 6
D. / 6 out of 6

Stuart bought a candy bar that cost 90 cents. He gave the cashier a $1 bill. Which of the following tree diagrams shows all of the ways the cashier can give correct change using pennies, nickels, and dimes?

A.
B.
C.
D.

Emily works at a fitness center. She recorded the heart rates of some people immediately after they exercised. Her data are shown below.

Heart Rates (beats per minute)

120128144136130

150138140132130

a. / Construct a stem-and-leaf plot to show Emily's data. Be sure to include a key.
b. / Based on Emily's data, what is the median heart rate? Show or explain how you got
your answer.

Emily measured the heart rates of two more people. When these heart rates were added to the data set, the mode decreased.

c. / Explain what must be true of the two additional heart rates in order for the mode to decrease.
d. / Explain how the two additional heart rates will affect the median heart rate that you found in part (b).