STATISTICS I (İSTATİSTİK) - (İNGİLİZCE) Dersi Variability Measures soru detayı:

PAYLAŞ:

SORU:

Explain the term "interquartile range".


CEVAP:

The second variability measure is the interquartile range (IQR). The interquartile range is the differences between the third and the first quartiles and can be calculated as follows.

IQR = Q3 - Q1 = P(75) - P(25)

The Interquartile range can be thought as the middle 50% of the data, when the interquartile range is calculated, we automatically discard the smallest 25% and largest 25% of the data in terms of variability. Therefore, IQR will give us a good indication about the variability of the center data in which the data is sorted from smallest to largest values.The interquartile range has the advantage over the range of being less compared sensitive to outliers and it is not greatly affected by the sample size. Although IQR has some advantages according to the range, it can be very misleading when the measurements are highly concentrated about the medSome of the specific percentiles frequently used as variability measures are 25th, 50th, and 75th percentiles, often called the first quartile, the second quartile (median), and the third quartile, and denoted by Q1, Q2, and Q3 respectively.