Calculate the mean.
The mean is about 6.9
What numbers do you need to create a box plot?
The five-number summary:
minimum, Q1, median, Q2, maximum
According to the rule, how many outliers are in the set:
4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20
There is ONE outlier, that value is 20
What is the name of this distribution shape?
Bell Curve
Normal Curve
Here is a 5 number summary for the number of touchdowns each quarterback in the British Football League threw. What percent of quarterbacks in the FBL threw more than 13 touchdowns?
Min=3 Q1=7 Median=10 Q3=13 Max=18
25%
Calculate the median.
The median is 2.
What is the IQR?
The IQR is 7
According to the rule, how many outliers are in the set:
13, 18, 19, 24, 24, 24, 25, 28, 30, 30, 37, 38, 40, 40, 47, 75, 77, 138
there are ZERO outliers
What is the shape of this distribution?
Bimodal
Find the IQR of the data set:
9, 4, 10, 13, 8, 5, 6, 11
5
Q3-Q1
10.5-5.5
Who has the larger median and by how much?
Television has the higher median by 4 hours.
What is the median?
The median is 31
According to the rule, how many outliers are in the data set:
3, 3, 5, 7, 9, 12, 12, 13, 13, 13, 26, 39
there are TWO outliers, the values are 26, 39
What measure of center and variability are used when the data is skewed?
Median/IQR
Find the mean of the data set:
81, 83, 84, 85, 85
83.6
Who has the larger mean, explain?
Television has the larger mean because 14.8 hours is larger than 11.7 hours.
Who has the larger interquartile range (IQR) and by how much?
Both cars have an interquartile ranges of 25 inches.
According to the rule, what are the outlier(s) of the set:
-3, 5, 10, 12, 14, 18, 24, 26, 49, 60
60
What measure of center and variability are used when you have a symmetric distribution?
Mean/MAD or Mean/Standard Deviation
Anya plays one round of her favorite online game every day. One week, she played 7 rounds and scored between 120 and 300 points each round. She calculated the mean and median of those scores.
Then, Anya found out that the day she scored 300 points was a special "double points" day, so she actually earned 600 points, not 300.
The mean will increase, and the median will stay the same
Compare the ranges. Who has the larger range and by how much?
Television has the larger range by 6 hours.
Can you calculate the means?
No, a box plot does not display all the data needed to calculate the mean.
Here is a five-number summary, according to the rule, how many low outliers are there?
Min=12 Q1=13 Median=14 Q3=17 Max=19
there are ZERO
What is the shape of this distribution?
Skewed Left
Find the median of the following data set:
1, 5, 7, 8, 8, 9, 9, 9, 10, 10, 10
9