taigandurgin2009
Answered

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Find the interquartile range (IQR) of your data. Show your work.

23, 75,79,99,105,110,110,142,149,168,168,170,183,195,202

Please help I don't understand!

Sagot :

Answer:

Interquartile Range =  71

Step-by-step explanation:

The interquartile range is the middle 50% of the data set. First you calculate the location of the 3rd quartile (75% of the data set) by computing:

LQ3 = (75/100)(n + 1) -> here n is the number of observations you have, so 15. You can now compute LQ3 = (75/100)(16) = 12

The data at location 12 of your data set is 170.

Now you compute the 1st quartile (25% of the data set):

LQ1 = (25/100)(16) = 4

The data at location 4 of your data set is 99.

The difference between the 3rd quartile (170) and the 1st quartile (99) is your interquartile range:

IQR = 170 - 99 = 71

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