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Quartile deviation is nearly equal to
  • a)
    3/2 σ
  • b)
    2 σ
  • c)
    2/3 σ
  • d)
    3 σ
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Quartile deviation is nearly equal toa)3/2σb)2σc)2/3&sigma...
The quartile deviation (also called the semi-interquartile range) is approximately related to the standard deviation (σ) by the formula:

This relationship holds in cases where the data follows a normal distribution, as the quartile deviation is a measure of spread that focuses on the interquartile range.
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Most Upvoted Answer
Quartile deviation is nearly equal toa)3/2σb)2σc)2/3&sigma...
It is not accurate to say that quartile deviation is nearly equal to 3/2. Quartile deviation is a measure of dispersion that is calculated as half of the difference between the third and first quartiles. It is equivalent to dividing the interquartile range (IQR) by 2.

The formula for quartile deviation is:

QD = (Q3 - Q1) / 2

where Q3 is the third quartile and Q1 is the first quartile.

The value of quartile deviation depends on the distribution of the data. In some cases, it may be close to 3/2, but in general, it can take on a wide range of values. Therefore, it is not appropriate to make a general statement that quartile deviation is nearly equal to 3/2.
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Quartile deviation is nearly equal toa)3/2σb)2σc)2/3σd)3σCorrect answer is option 'C'. Can you explain this answer?
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