Mean
Median
Mode
Range
Box Plot/ Five Number Summary
100
What is the formal definition of Mean?
Add up all your numbers together and then divide by how many numbers there are.
100
What is the formal definition of Median?
The middle number of your data set.
100
What is the formal definition of Mode?
The value that repeats the most.
100
What is the formal definition of Range?
The difference between the largest number and the smallest number.
100
What components make up the five number summary?
Min, max, Median, Q1, and Q3
200
Calculate the mean:
{52,52,52,65,69}
Mean=58.
200
Calculate the median:
{31,31,65,67,89}
Median= 65
200
True or False:
We are never allowed to have no mode, or multiple modes in one problem.
FALSE
200
Calculate the Range:
{55,57,68,82,99}
Range = 44
200
Please explain what Q1,Q3, and Interquartile Range are.
Q1= Median (middle) of the first half.
Q3= Median (middle) of the second half.
Interquartile Range= Q3-Q1
300
Calculate the mean:
{13,13,14,31,73}
Mean= 28.8
300
Calculate the median:
{43,52,54,86,87}
Median= 54
300
Calculate the mode:
{52,52,52,65,69}
Mode=52
300
Calculate the Range:
{-5,-4,6,7,11,21,34,56}
Range=61
300
What is the median of this box plot? How do you know?
Median= 85
(The Median is always at the center or the middle of the box portion of a box plot.)
400
Calculate the mean:
{11,11,15,18,21,23,23,34,78,82}
Mean=31.6
400
Calculate the median:
{23,24,26,27,33,35,35,39}
Median=30
400
Calculate the Mode:
{2,3,3,3,4,5,6,7,7,7,7,10}
Mode=7
400
If Q1= -9 and Q3 = 7, then what is the Interquartile Range equal to?
IQR= 16
400
State the Q1 and Q3 values and then identify the Interquartile Range.
Q1=16
Q3=23
Interquartile Range= 7
500
Calculate the mean"
{2,2,2,4,5,17,19,23,25,27,29,29}
***Round to the nearest hundredth. ***
Mean=15.33
500
As a group, please explain what happens when you have two numbers in the middle. Why do we do such a thing?
Average them to find the median.
500
Calculate the Mode:
{12,24,36,48,60,72,84,96,120,132,144}
*BONUS (for 100 points): Explain the pattern of the given set.
Mode= None.
Bonus Answer: Multiples of 12
500
Calculate the Q1,Q3, and Interquartile Range of the following set.
{23,24,26,28,29,29,32}
Q1=24
Median=28
Q3= 29
500
{2,3,5,6,7,8,10}
Calculate the five number summary.
Min= 2
Q1=3
Median=6
Q3=8
Max=10