RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF CENTER AND SPREAD

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Given the data:136, 150, 119, 150, 125, 143.Find the interquartile range (IQR)
A
IQR = 150-119 = 31
B
IQR = 150-125 = 25.
C
IQR = 150-125 = 75.
D
IQR = 150-119 = 31.
Explanation: 

Detailed explanation-1: -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-2: -The interquartile range is the difference between the first quartile 7 and the third quartile 15 . In this case, the difference between the first quartile 7 and the third quartile 15 is 15−(7) .

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