Probability
Measures of Center & Variability
Probabilities & Data Displays
100
Find the probability for 1 roll of a regular number cube. Write as a fraction in simplest form.
P(3,4, or 5)
1/2
100
Kaiya and Iffy lead two teams that competed to collect canned food at their school. There were eight classrooms of students on Kaiya’s team and nine classrooms of students on Iffy’s team. The numbers below show how many cans each class collected for the competition.
Kaiya’s Team: 22, 25, 80, 55, 32, 68, 73, 45
Iffy’s Team: 15, 25, 50, 48, 39, 30, 42, 24, 42
Find Kaiya's mean, median, mode, five-number summary, range, IQR, and MAD.
mean: 50
median: 35
mode: no mode
five-number summary: 22~28.5~50~70.5~80
Range: 58
IQR: 42
MAD: 19
100
Mariah randomly polled 100 students. She asked who they planned to vote for as class president. The results are in the pie chart below.
a. Find P(Juan).
b. Find P(Maria).
c. Find P(Nigel).
d. There are 400 students voting. Predict how many students will vote for Maria.
a. 1/5
b. 1/2
c. 3/10
d. 200 students
200
A bag has 4 red marbles, 3 green marbles, 8 blue marbles, and 5 yellow marbles. Find the probability that Susan will randomly choose a red or blue marble.
P(red or blue)
3/5
200
Kaiya and Iffy lead two teams that competed to collect canned food at their school. There were eight classrooms of students on Kaiya’s team and nine classrooms of students on Iffy’s team. The numbers below show how many cans each class collected for the competition.
Kaiya’s Team: 22, 25, 80, 55, 32, 68, 73, 45
Iffy’s Team: 15, 25, 50, 48, 39, 30, 42, 24, 42
Find Iffy's mean, median, mode, five number summary, range, IQR, and MAD.
mean: 35
median: 39
mode: 42
five-number summary: 15~24.5~39~45~50
range: 35
IQR: 20.5
MAD: 10.2
200
The histogram to the right shows the number of students in a math class with each grade.
a. How many students are in the math class?
b. Which interval would have the grade 70%?
a. 20 students
b. 70-80
300
Connie has 1 blue marble, 1 green marble and 1 red marble. She randomly chooses one marble, replaces it, and then randomly chooses a second marble.
a. List all of her possible outcomes (example: BG means blue first, then green)
b. What is the probability she will choose a green marble and then a red marble?
a. BG,BB,BR, GB,GG,GR,RB,RG,RR
b.1/9
300
Find the five-number summary for Dylan’s points scored in the twelve basketball games. 8, 14, 27, 24, 18, 15, 6, 30, 26, 17, 10, 21
6 ~ 12 ~ 17.5 ~ 25 ~ 30
300
The histogram to the right shows the number of students in a PE class with their mile running times.
a. How many students are in the PE class?
b. Which interval would have the time 8 minutes?
c. In which interval of time did most students finish?
a. 30 students.
b. 8-9 minutes
c. 9-10 minutes
400
A bag has 40 marbles.
a. How many marbles should be red if the probability of randomly choosing red is 30%?
b. How many marbles should be green if the probability of randomly choosing green is 1/5 ?
c. How many marbles should be blue if the probability of randomly choosing blue is 0.5?
a. 12
b. 8
c. 20
400
Find the mean absolute deviation for the data set. 4, 5, 9, 10, 12
2.8
400
Bryan randomly asked several students which type of animal they had at home as a pet. The results are in the pie chart below.
a. What percent of the students had dogs?
b. What percent of the students had birds?
c. How many total students did Bryan interview?
a. 60%
b. 10%
c. 200