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Compute median of the following data :
Mid-value: $115 \quad 125 \quad 135 \quad 145 \quad 155 \quad 165 \quad 175$
Frequency: $12 \quad 15 \quad 20 \quad 16 \quad 10 \quad 16 \quad 11$
Mid-value: $115 \quad 125 \quad 135 \quad 145 \quad 155 \quad 165 \quad 175$
Frequency: $12 \quad 15 \quad 20 \quad 16 \quad 10 \quad 16 \quad 11$
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Sol.
Correct table (3 Marks)
$\frac{N}{2} = \frac{100}{2} = 50$, Median class is $140 - 150$ (1/2 Mark)
Median = $140 + \frac{50-47}{16} \times 10$ (1 Mark)
= $\frac{1135}{8}$ or $141.8$ (approx.) (1/2 Mark)
Correct table (3 Marks)
$\frac{N}{2} = \frac{100}{2} = 50$, Median class is $140 - 150$ (1/2 Mark)
Median = $140 + \frac{50-47}{16} \times 10$ (1 Mark)
= $\frac{1135}{8}$ or $141.8$ (approx.) (1/2 Mark)