STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF CENTER AND SPREAD
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Q3-Q1
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Median
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Q1-Q3
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Maximum-Minimum
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Detailed explanation-1: -To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Detailed explanation-2: -Calculate the interquartile range by hand Q1 is the value below which 25 percent of the distribution lies, while Q3 is the value below which 75 percent of the distribution lies. You can think of Q1 as the median of the first half and Q3 as the median of the second half of the distribution.
Detailed explanation-3: -The formula for finding the interquartile range takes the third quartile value and subtracts the first quartile value. Equivalently, the interquartile range is the region between the 75th and 25th percentile (75 – 25 = 50% of the data).
Detailed explanation-4: -Order the data from least to greatest. Find the median. Calculate the median of both the lower and upper half of the data. The IQR is the difference between the upper and lower medians.