Median, Mean, IQR, Quartiles, and MAD
What is the median of the following dot plot?
*
* *
* * * * * *
0 1 2 3 4 5 6 7 8 9 10 11 12
A) 7
B) 7.5
C) 8
D) 9
D) 9
A student asked the other students in her class how many pets each had. Based on the histogram is the following statement true, false, or is there not enough information to tell?
8 |------|
Number 6 | |
of Students 4 | |------|
2|------| | |
0 3 6 9
Number of Pets
The student asked three other students.
False
You pick a letter out of the following data set. What is the probability of choosing an A?
A, A, A, A, B, B, B, B, B
4/9
Zander thinks we need to slow down in the hallways and wants to know if other students agree. Zander surveys a random sample of 25 students, and find that 14 agree with him. What is the population of Zander's question?
The students at Zander's school
What day is the last day of school (for students) this year?
June 8, 2026
Alex write down the number of miles he rode his bike each day. Calculate the mean.
Day Distance (miles)
Monday 10.5
Tuesday 11.5
Wednesday 13
Thursday 10
Friday 15
12
A student asked the other students in her class how many pets each had. Based on the histogram is the following statement true, false, or is there not enough information to tell?
8 |------|
Number 6 | |
of Students 4 | |------|
2|------| | |
0 3 6 9
Number of Pets
Eight students said they had exactly three pets.
There is not enough information to tell.
Which is the best sample for finding out what the best food is in the cafeteria?
A) Have each advisory teacher ask 2 students.
B) Tomorrow, ask the first 3 students in the cafeteria.
C) Choose students from all the students at school completely at random.
D) Choose tables in the cafeteria at random. Ask the students sitting only at those tables.
C) Choose students from all the students at school completely at random.
Zander thinks we need to slow down in the hallways and wants to know if other students agree. Zander surveys a random sample of 25 students, and find that 14 agree with him. If the school has 900 students, about how many do you predict would agree?
504 students
In what year did Marce Herz open?
2020
What is the median, Q1, Q3, and IQR of the following baseball run data?
3, 5, 6, 3, 4, 1, 2, 5, 3, and 1
Median: 3
Q1: 2
Q3: 5
IQR: 3
A student asked the other students in her class how many pets each had. Based on the histogram is the following statement true, false, or is there not enough information to tell?
8 |------|
Number 6 | |
of Students 4 | |------|
2|------| | |
0 3 6 9
Number of Pets
No student said they had more than 9 pets.
True
To find out if people went to see comedy movies more often than other movies, a student created a random sample of all the movies and the attendance at the local movie theaters over the past year. Here is her data:
Comedy Movies
* *
* * *
* * * *
* * * * *
0 50 100 150 200 250
Other Movies
* * *
* * * * *
0 50 100 150 200 250
Which of the following are true?
A) Comedy movies tend to get more watchers than other movies.
B) Other movies tend to get more watchers than comedy movies.
C) Comedy movies have more consistent numbers of watchers than other movies.
D) Other movies have more consistent numbers of watchers than comedy movies.
E) All comedy movies have more watchers than other movies.
A) Comedy movies tend to get more watchers than other movies.
AND
D) Other movies have more consistent numbers of watchers than comedy movies.
Zander thinks we need to slow down in the hallways and wants to know if other students agree. Zander surveys a random sample of 25 students and find that 14 agree with him. The next week, Zander surveys another 25 students and find that 7 agree with him. Does this make you more or less confident in your prediction? Explain.
Less confident, because (answers vary)...the second data set found that only 7/25 students agree with Zander vs. the prior week, when double that, 14/25 students agreed with Zander. More data would need to be collected to decide how many students on average agree with Zander.
What is our falcon mascot's name?
Marvin
What is the MAD of the following 2 data sets? Which has the larger spread?
Data set A: 52, 45, 55, 58, and 40
Data set B: 51, 49, 47, 51, and 52
6.6 and 1.6
Data set A has the larger spread.
A student asked the other students in her class how many pets each had. Based on the histogram is the following statement true, false, or is there not enough information to tell?
8 |------|
Number 6 | |
of Students 4 | |------|
2|------| | |
0 3 6 9
Number of Pets
More than half the students said they had six or fewer pets.
True
Three siblings share weekly chores and randomly choose which of the three main chores (take out the trash, do the dishes, and vacuum the rugs) they will do using a spinner. About how many weeks out of the year will each sibling take out the trash? (*Hint: There are 52 weeks in a year.)
~17 weeks...Assuming that the spinner is fair, each sibling will have an equal possibility of getting to take out the trash. 52 weeks in a year divided by 3 siblings is 17 1/3 weeks per sibling. We round 17 1/3 down and add an approximate symbol to show that this is not exactly the answer.
Agatha wonders who walks the furthest to school at her school: the 6th, 7th, or 8th graders. She selects a random sample of 30 students from 6th grade, 30 students from 7th grade, and 30 students from 8th grade. Then she asked the student how far they walk in miles. Agatha's friend, Chantal, looks at Agatha's data and says that there are only 90 kids at Agatha's school. Do you agree with Chantal? Explain your thinking.
Answers will vary:
NO! Chantal needs to remember that Agatha only took random samples of a larger population of students in each grade level.
Who is our school named after?
Answers will vary.
Marcelle (Marce) Barkley Herz a 10+ year teacher, avid skier and runner, who started Sky Tavern!
Use the information to answer the following questions.
Minimum (left whisker): 15
Q1(left side of box): 20
Q2(line inside of the box): 25
Q3(right side of box): 35
Maximum(right whisker): 45
1) What is the median?
2) What percent of the dataset is 35 or more?
3) What is the IQR?
1) 25
2) 25%
3) 15
What would a dot plot look like if it had 5 data points, a median of 6, and a mean that is less than the median?
Answers vary. Here is an example!
*
* *
* * *
0 1 2 3 4 5 6 7 8 9 10
Median: 6
Mean: ~5 1/3
A teacher has two random spinners to help her randomly choose students in her class. The first spinner represents the table numbers and has the numbers 1 through 9 on it. The second spinner represents the seat numbers and has the numbers 1 through 4 on it.
1) How many total combinations are there?2) What is the probability of seats 3 or 4 at table 3 being chosen?
1) 36
2) 1/18
Situation: Agatha wonders who walks the furthest to school at her school: the 6th, 7th, or 8th graders. She selects a random sample of 30 students from 6th grade, 30 students from 7th grade, and 30 students from 8th grade. Then she asked the student how far they walk in miles.
Explain what you would look for if the 3 dot plots for that data were to show a "big difference". Be specific about the types of data you would look for.
1) MADs differing by 1 or more.
2) Medians differing by 1 or more.
3) Few outliers in the data would help, but can't be the only difference.
What is our school's address?
13455 Thomas Creek Rd
Reno, NV 89511