Dear student

 Weight (in grams) Mid-Values$\left({x}_{i}\right)$ Frequency$\left({f}_{i}\right)$ ${d}_{i}={x}_{i}-202.5$ ${d}_{i}^{2}$ ${f}_{i}{d}_{i}$ ${f}_{i}{d}_{i}^{2}$ 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, ${\sigma }^{2}$

Standard deviation, $\sigma$ =

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