if two quartiles of n are 14.6 and 25.4 respectively what is the standard deviation of the distribution
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Given:
The two quartiles of n are 14.6 and 25.4 respectively
To find:
What is the standard deviation of the distribution
Solution:
From given, we have,
The two quartiles of n are 14.6 and 25.4 respectively
we use the direct formula:
From given, we have,
Q₁ = 14.6 and Q₃ = 25.4
Therefore,
QD = (Q₃ - Q₁) / 2
= (25.4 - 14.6) / 2
= 10.8 / 2
= 5.4
Thus,
Sd = (3 × Qd)/2 = (3 × 5.4)/2 = 16.2/2 = 8.1 ≈ 8
Therefore, the standard deviation of the distribution is 8.
Thus option (d) 8 is correct.
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