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
Which type of plot shows each individual piece of data in the data set?
dot plot
What is a maximum and what is a minimum? How do you find them?
The maximum is the highest number in a data set. The minimum is the lowest number in a data set.
You find them by...
1) putting the data points in order from least to greatest.
2) looking at the furthest left and furthest right data points.
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.
5 2 3 2 6 7 0 3 5 7
10
What is a mean and how do you calculate it?
The mean is an average of the data.
You calculate it by adding all the data points together and dividing by the number of data points.
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
How many important points are needed to make a box plot of the following data?
5 2 3 2 6 7 0 3 5 7
5 (minimum, Q1, Q2, Q3, and maximum)
What is a median and how do you calculate it?
The median is the middle number in a data set.
You calculate it by...
1) putting the numbers in order.
2) finding the middle number.
*If there are 2 numbers in the middle you need to find the mean of those two numbers to find the median.
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 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
Draw a dot plot of the following data.
5 2 3 2 6 7 0 3 5 7
* * * *
* * * * * *
0 1 2 3 4 5 6 7 8
What is quartile 1 and how do you calculate it?
Quartile 1 is the median of the lower half of the data set.
You calculate it by...
1) Putting all the numbers in order.
2) Finding the median of the data set.
3) Finding the median of the lower half of the data set.
* If the number of data points in the entire data set is even, you will include the lower of the two middle numbers in the lower half of the data set. If the number of data points in the entire data set is odd, you will NOT include the median in the lower half of the data set.
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
*Data set: 4, 4, 6, 7, 7
Median: 6
Mean: 5.6
Draw a box plot of the following data.
5 2 3 2 6 7 0 3 5 7
Draw a box plot with:
Minimum: 0 (left whisker)
Q1: 2 (left side of the box)
Q2: 4 (inside line of the box)
Q3: 6 (right side of the box)
Maximum: 7 (right whisker)
What is quartile 3 and how do you calculate it?
Quartile 3 is the median of the upper half of the data set.
You calculate it by...
1) Putting all the numbers in order.
2) Finding the median of the data set.
3) Finding the median of the upper half of the data set.
* If the number of data points in the entire data set is even, you will include the higher of the two middle numbers in the upper half of the data set. If the number of data points in the entire data set is odd, you will NOT include the median in the upper half of the data set.
What is our school's address?
13455 Thomas Creek Rd
Reno, NV 89511