Mathematics: Consider the following data and corresponding weights. Value (xi) Weight (wi) 3.2 6 2.0 3 2.5 2 5.0 8 (a) Calculate the (unweighted) mean for this variable. (b) Now calculate the weighted mean of this variable. Notice the di erence between the mean and the weighted mean.

Consider the following data and corresponding weights.

genyjoannerubiera

20.01.2022

a) tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

$\bar X= \frac{3.2+2.0+2.5+5.0}{4}=3.175$

b) $\bar X = \frac{\sum_{i=1}^n w_i x_i}{\sum_{i=1}^n w_i}$

And replacing we got:

$\bar X= \frac{3.2*6+2.0*3+2.5*2+5.0*8}{6+3+2+8}=\frac{70.2}{19}=3.695$

Step-by-step explanation:

Part a

For this case we can calculate the the unweigthed with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{3.2+2.0+2.5+5.0}{4}=3.175$

Part b

For this case the weigthed mena is given :

$\bar X = \frac{\sum_{i=1}^n w_i x_i}{\sum_{i=1}^n w_i}$

And replacing we got:

$\bar X= \frac{3.2*6+2.0*3+2.5*2+5.0*8}{6+3+2+8}=\frac{70.2}{19}=3.695$

0,0(0 оценок)

alissa64

20.06.2021

bbgb7g.

j If.

Step-by-step explanation:

If h If. 9uh 9uh 9uh

0,0(0 оценок)