This is the overall variability of the data set. It can be found by subtracting the minimum value from the maximum value (Max-Min).
Range
This measure of center can also be called the average or fair share.
What was the range of goals scored?
4 goals
What is the median of the following box plot?
50
True or False. "What is the temperature outside today?" is a statistical question.
False
This measure of spread is the variability of the middle 50% of the data. It can be found by subtracting the lower quartile from the upper quartile (Q3-Q1).
Interquartile Range (IQR)
This measure of center is the middle value of the data set.
Median
How many people were surveyed?
10
What is the Q3 or upper quartile of this box plot?
35
What is the median of the following data set?
30, 2, 7, 10, 19
10
List the elements of the 5 number summary.
Minimum, Q1, Q2/Median, Q3, Maximum
How do you find the median if there are two middle values in your data set?
Find the mean of those two middle values
For how many days was the temperature recorded?
28 days
What is the range of the box plot?
80
What is the mean of the data set?
18, 21, 26, 35
25
This measure of spread is the data's average distance from the mean. It describes the consistency of the data.
Mean Absolute Deviation (MAD)
Double points!
Jacob has 4 tennis balls, Brian and Emily both have 10. How many more tennis balls would Jacob receive if they were all given a fair share?
Jacob would receive 4, everyone would have 8.
Over which interval were there exactly two students?
150-179 minutes
What is the IQR of the box plot?
35
What is the median of the following data set?
21,40,48,26,32,31
31.5
The following sets of data are the touchdowns thrown by Patrick Mahomes and Tua Tagovailoa.
Mahomes: 50, 20, 60, 21, 55
Tua: 32, 34, 28, 36, 30
Which player has the lower MAD?
Tua, his TD #s are more consistent
Which measure of center (Mean, Median, Mode) best describes the data when there is an outlier?
Median
Double pointer!!!
How many students scored 70 or more on the quiz?
11
Which box plot has the larger IQR?
Blue. The IQR is around 12, while the red IQR is 10.
The following data represents the amount of points the Miami Dolphins scored in their last 6 games:
40, 24, 2, 20, 48, 24
Which measure of center would be affected by the removal of the outlier? Would it increase or decrease?
Mean; Increase
Double the questions, double the points!!!