Question

Calculate mean and standard deviation for the following two series:
a. Series A: 48,50,50,52,52
b. Series B: 40,70,50,60,30

Answer 1

Conditions

Calculate mean and standard deviation for the following two series:

a. Series A: 48,50,50,52,52

b. Series B: 40,70,50,60,30

Solution

The sample mean:

$$\overline{{\mathbf{x}}} = \frac{1}{N} \sum_{i=1}^{N} \mathbf{x}_i.$$

The sample standard deviation:

$$\sigma = \sqrt{\sum_{i=1}^{n} (x_i - \bar{x})^2}$$

For our example a:

$$\bar{x} = 50.4$$ $$\sigma = 1.67332$$

For our example b:

$$\bar{x} = 50$$ $$\sigma = 15.81139$$