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Making a Box-and-Whisker Plot
Step 1: Arrange the values in increasing order and compute [pic].
Step 2: Draw a number line that includes the minimum and maximum values.
Step 3: Make a box whose left end is at [pic] and whose right end is at [pic].
Step 4: Draw vertical line segment to divide the box at, [pic], the median.
Step 5: Draw a line segment from [pic] to the minimum value and another line segment from [pic] to the maximum value for the left and right whiskers.
A box-and-whisker plot displays how the values of the data are distributed.
Outliers-are unusual data. A data value that is less than [pic] or greater than [pic].
First Quartile - median of the lower half of the data set
Second Quartile -median of the data set.
Third Quartile- median of the upper half of the data set
Interquartile range- [pic]
The number of calls received by a crisis hotline during 17 randomly selected is given below
|50 |57 |77 |66 |53 |72 |
|51 |88 |82 |70 |112 |107 |
|69 |88 |98 |65 |155 | |
Median is 72
The median of the lower half [pic] = 61
The median of the upper half [pic]
IQR = 93 – 61 = 32
Find any possible outliers below [pic]
Find any possible outliers above [pic]
There are no values less than or equal to 13. Because the data value 155 is greater than 141, 155 is a possible outlier.
You can use box-and-whisker plots to compare the distribution of two set of similar data, such as the monthly mean temperatures for two cities.
Monthly mean temperatures for Los Angles and Chicago (1961 – 1990)
|Months |Los Angeles...