Measures of Variation
What is the range in the data set 14, 16, 18, 24, 19, 15, 13.
11
What is the 1st quartile in the data set 14, 16, 18, 24, 19, 15, 13?
14
3
What are the 5 values that are graphed on a box and whisker plot?
Minimum, 1st Q, Median, 3rd Q, and Maximum
Can you determine the mean from a box-and-whisker plot?
No
What is the range in the data set 29, 27, 24, 28, 30, 51, 28?
27
What is the 3rd quartile in the data set 14, 16, 18, 24, 19, 15, 13?
19
2.9
Where is the box drawn on a box-and-whisker plot?
Around the 1st and 3rd quartiles.
Can you determine the median from a box-and-whisker plot?
Yes
What is the median in the data set 29, 27, 24, 28, 30, 51, 28?
28
What is the 2nd quartile in the data set 14, 16, 18, 24, 19, 15, 13?
16
2.6
What extends from each quartile to the extreme data points that are not outliers.
Whiskers
Explain what the lower quartile is.
The median of the lower half of a set of data, represented by the 1st Q.
What is the median in the data set 132, 116, 108, 113, 126, 120, 131, 112, 126?
120
What is the interquartile range in the data set 14, 16, 18, 24, 19, 15, 13?
5
Find the MAD 44 57 59 60 80
8
What 5 values would you use to construct a box-and-whisker plot for the data set 4, 7, 5, 3, 9, 6, 4?
Minimum = 3
1st Q = 4
Median = 5
3rd Q = 7
Maximum = 9
Explain what the upper quartile is.
The median of the upper half of a set of data, represented by the 3rd Q.
What is the mean in the data set 132, 116, 108, 113, 126, 120, 131, 112, 126
120.4
What percent of the data is between 14 and 19 in the data set 14, 16, 18, 24, 19, 15, 13?
50%
18
What 5 values would you need to construct a box-and-whisker plot for the data set 39, 41, 30, 14, 44, 40, 48, 39, 40, 36?
Minimum = 14
1st Q = 36
Median = 39.5
3rd Q = 41
Maximum = 48
Explain how to determine from a box-and-whisker plot whether there are any outliers in the data.
Outliers are shown as an asterisk beyond the extreme values, disconnected from the whisker of the box