Question 729177: box and whisker 71,74,74,75,75,77,77,78,78,80,80,81,82,86,86,90
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! box and whisker 71,74,74,75,75,77,77,78,78,80,80,81,82,86,86,90
first find the median: The median is the value exactly in the middle of an ordered set of numbers.
so, the median is 
Next, we consider only the values to the left of the median: 71,74,74,75,75,77,77.
We now find the median of this set of numbers. Remember, the median is the value exactly in the middle of an ordered set of numbers.
Thus  is the median of the scores less than the median of all scores, and therefore is the lower quartile.
is the lower quartile
Now consider only the values to the right of the median: 78 82 85 87 91 93 100. We now find the median of this set of numbers. The median  is therefore called the upper quartile.
is the upper quartile
You are now ready to find the inter-quartile range (IQR). The inter-quartile range is the difference between the upper quartile and the lower quartile.
In your case the  .
The IQR is a very useful measurement. It is useful because it is less influenced by extreme values, it limits the range to the middle 50% of the values.
 is the inter-quartile range
Now you can draw your graph.
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