Question

Calculate second quartile of wages (in Rs.) per hour
110,60,105,65, 100,75,70,95,90,85,80
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Answer 1

Answer:

3.59

Explanation:

We know the formula: Qi = l + \frac{h}{f} (\frac{iN}{4} - c) ; i = 1,2,3l+fh(4iN−c);i=1,2,3

First Quartile: Q1 = [\frac{iN}{4}th]value[4iNth]value = (1 * 161)/4 = 40.25 th value.

Since it will be in the interval  (10 - 20), therefore, group of Q1 = (10 - 20)

Q1 = 10 + \frac{10}{38}(\frac{161}{4} - 22)10+3810(4161−22) = 14.80.

Third quartile will be:

Q3 = 3*\frac{161}{4} th value  = 120.75th3∗4161thvalue =120.75th value

120.75th value is in the interval (30 - 40).

Therefore, group for Q3 = (30 - 40).

Q3 = 30 + \frac{10}{35} (\frac{161}{4}-106)30+3510(4161−106) = 11.21

Quartile deviation = \frac{14.8-11.21}{2}214.8−11.21 = 3.59