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Quartile deviation = ?Select one:a.Q_3 - Q_1b.Q_1 - Q_3c.(Q_3 - Q_1)/2d.(Q_3 - Q_1)*2

Question

Quartile deviation = ?

Select one:

  • a. Q_3 - Q_1
  • b. Q_1 - Q_3
  • c. (Q_3 - Q_1)/2
  • d. (Q_3 - Q_1)*2
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Solution

Break Down the Problem

  1. Identify what quartile deviation means.
  2. Recall the formula for quartile deviation.

Relevant Concepts

  1. The quartile deviation (QD) is a measure of spread or dispersion in a data set. It is calculated based on the first quartile (Q_1) and the third quartile (Q_3).

Analysis and Detail

  1. The formula for the quartile deviation is defined as: QD=Q3Q12 QD = \frac{Q_3 - Q_1}{2} Here, Q3 Q_3 is the third quartile and Q1 Q_1 is the first quartile.

Verify and Summarize

  1. Based on the formula, when we analyze the options provided, the correct expression for quartile deviation matches option c.

Final Answer

The correct answer is c. (Q3Q1)/2(Q_3 - Q_1)/2.

This problem has been solved

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