Question

Asked Jan 29, 2019

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I need a step by step break down on 3 questions

If the Data set of Mangos are: 1,1,2,3,5,5,6,3,2,2,1,0

1. E (x^2 -x)

2. E(x +3)

3 E ( x- x)^2 this question the second x has a bar line above it

Step 1

**1. Obtain mean of the variable x.**

The values of the data set Mangos are:

*x: *1, 1, 2, 3, 5, 5, 6, 3, 2, 2, 1 and 0.

*Mean: *Mean is an important measure of center when the data is quantitative. Mean of a data set is the sum of the data set divided by the size.

The mean of the variable is obtained as __2.5833__ from the calculation given below:

Step 2

**Obtain sample variance of the variable x.**

The mean of the variable is 2.5833.

The general formula for sample variance is sum of (*xi* – xbar)^2/(n–1)

The variance of the variable is obtained as __3.5379__ from the calculation given below:

Step 3

**Determine the value of ***E ***( x^2 -x)**

** **The general formula for *E *(*x*^2 -*x*) is,

*E *(*x*^2 -*x*) = V(*x*) + (E(*x*))^2* – E*(*x*) ; where *E*(*x*) is mean and V(*x*) is variance.

The value of E (*x*^2 -*x*) is obtained as 7.628 from the calculation ...

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