Discussion
Which of the following is a formula of quartile deviation ?
Answer: B
The quartile deviation is \(\frac{Q_{3} - Q_{1}}{2}\).
The quartile deviation, or semi-interquartile range, is half the distance between the upper quartile Q3 and the lower quartile Q1. It measures the spread of the middle 50 percent of the data and is not affected by extreme values.
\[ \text{Q.D.} = \frac{Q_{3} - Q_{1}}{2} \]
Q1 - Q2 uses the median instead of the upper quartile, Q1 - Q3 gives a negative value, and putting 2 in the numerator inverts the formula.
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