Mathematics: QUESTION 3 of 10: Stock returns vary from year to year. The more variance a stock displays the greater the potential risk. These are the rates of return for a stock over the last five years. Calculate the variance of these investment returns: 10, 30, 15, 5, 20. Hint: The variance of a series of numbers is the sum of the squares of their differences from the mean (average) of the numbers divided by the number of items in the series. a) 21 b) 53 c) 74 d) 95

-2-1 /2-4. -3/-2. Or 3/2. The slope is 3/2Y-1=3/2(x-4) Y-1=3/2x-6Y= 3/2x -5...

QUESTION 3 of 10: Stock returns vary from year

jalst6084

22.06.2020

The variance of these investment returns is 74

Step-by-step explanation:

Given:

Series = 10, 30, 15, 5, 20

To Find:

variance of a series = ?

Solution:

The variance of the series = $Var\left(X\right)=\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n}$

$\bar{x} = \frac{10+30 +5+15 + 20}{5}$

$\bar{x} = \frac{80}{5}$

$\bar{x} =16$

Now $(x_i -\bar{x})^2 =$ (10 -16)^2 + (30 -16)^2 + (5 -16)^2 +(15 -16)^2 +(20 -16)^2

= (-6)^2 + (14)^2 + (-11)^2 + (-1)^2+ (-4)^2

= 36 + 196 +121 + 1+ 16

= 370

Now

$Var\left(X\right)=\frac{370}{5}$ = 74

0,0(0 оценок)