Answer to Question #202049 in Statistics and Probability for KTH

Question

complete the table below by writing the correct symbols and formula in each parameter and statistic.

						       Parameter	    | 	   Statistic

Different Measures | Symbol | Formula | Symbol | Formula

• MEAN | | | |
• VARIANCE | | | |
• STANDARD DEVIATION | | | |

Answer 1

Table:

1.) Mean :

(a) Population mean:

Symbol : $\mu$

Formula : $\mu=\dfrac{\sum_{i=1}^N\ x_i}{N}$

(b) Sample mean:

Symbol: $\bar x$

Formula: $\bar x =\dfrac{\sum_{i=1}^n x_i}{n}$

2.) Variance:

(a) Population Variance

Symbol: $\sigma^2$

Formula: $\sigma^2=\dfrac{\sum_{i=1}^N (x_i-\mu)^2}{N}$

(b) Sample Variance

Symbol: $s^2$

Formula:$s^2=\dfrac{\sum_{i=1}^n (x_i-\bar x)^2}{n}$

(c) Standard Deviation

(a) Population Standard Deviation:

Symbol: $\sigma$

Formula: $\sigma=\sqrt{\dfrac{\sum_{i=1}^N (x_i-\mu)^2}{N}}$

(b) Sample Standard Deviation;

Symbol: $s$

Formula: $s=\sqrt{\dfrac{\sum_{i=1}^n (x_i-\bar x)^2}{n}}$