Statistics is the study of _______
Data
Calculate the range of this data set
1,5,1,5,6,7,8,3,2,0
Range = 8
When a distribution is symmetrical, the mean is _________ the median
Equal to
What is our formula for outliers?
(Q1 - 1.5IQR, Q3 + 1.5IQR)
What makes up the 5 number summary?
min, Q1, med, Q3, max
Calculate the median of this data set
1,5,1,5,6,7,8,3,2,0
median = 4
In a skewed right distribution, the mean is ________ the median
greater than
The five number summary for a set of data is
1, 2, 3, 5, 9
What percent of data falls between 2 and 9?
About 75%
Define standard deviation
Average distance of each observation from the mean
Calculate the Q1, Q3, and IQR of this data set
1,5,1,5,6,7,8,3,2,0
Q1 = 1
Q3 = 6
IQR = 5
Calculate the IQR and Range of the data
IQR = 27/28
Range = 80
The five number summary for a set of data with n = 24 is
1, 2, 3, 5, 9
How many people answered between 1 and 2?
About 6
What graphical displays describe quantitative data?
Dot plot, stemplot, histogram, boxplot
Find the missing value given the mean...
mean = 4.5
1, 1, 3.5, 4, 4.5, 4, 5, 6, 6.5, 6.5, 7, 8, x
x = 1.5
If there are 60 data points on this graph, what is the median?
Median = 2.55
The five number summary for a set of data is
1, 2, 3, 5, 9
Are there any outliers?
No
When asked to describe a distribution, what key things do you need to talk about?
Shape, center, spread, and outliers!
We found the average age of 10 people...
The mean is 20
The median of the same data set is 24
If the oldest person lied and was really 5 years older, what is the new mean and median?
Mean = 20.5
Median = 24
Describe the shape, center, and spread of the # of goals scored in 34 games by the US women's national team.
Skewed right
Median = 3
Range = 8
Given the 5 number summary, what is the interval for possible outliers? (calculate the min and max)
4, 9, 10, 13, 20
(3, 19)