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Weight (in grams)	Mid-Values $(x_{i})$	Frequency $(f_{i})$	$d_{i} = x_{i} - 202.5$	$d_{i}^{2}$	$f_{i} d_{i}$	$f_{i} d_{i}^{2}$
200–201	200.5	13	−2	4	−26	52
201–202	201.5	27	−1	1	−27	27
202–203	202.5	18	0	0	0	0
203–204	203.5	10	1	1	10	10
204–205	204.5	1	2	4	2	4
205–206	205.5	1	3	9	3	9
		N = $\sum_{} f_{i} = 70$			$\sum_{} f_{i} d_{i} = - 38$	$\sum_{} f_{i} d_{i}^{2} = 102$

Now,

Variance,

σ^{2}

= (\frac{1}{N} \sum_{} f_{i} d_{i}^{2}) - {(\frac{1}{N} \sum_{} f_{i} d_{i})}^{2} = (\frac{1}{70} \times 102) - {(\frac{1}{70} \times (- 38))}^{2} = 1.457 - 0.295 = 1.162 gm

Standard deviation, $σ$ =

\sqrt{Variance} = \sqrt{1.162} = 1.08 gm

Regards

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