Hello, I was wondering if i could get help with these problems. 2. Consider a dataset {x;}_1 with mean and standard deviation s. Assume that two newdatasets, {y}_1 and {z;}?_₁, are created, defined by yi = - 4x; and z₁ = 2x; +T.(a) Find the mean y of the dataset {y}_₁ in terms of and sx.(b) Find the mean z of the dataset {z}_₁ in terms of ☎ and så.(c) Find the standard deviation sy of the dataset {y;}?_₁ in terms of ☎ and så.i=1(d) Find the standard deviation sø of the dataset {z;}?_₁ in terms of ã and sï. 4. Consider a data set {x;}50₁ and assume that50(b) Now suppose that x₁{xi} 52?50(1)(a) Find the mean and standard deviations of the data set. Express you answers in bothfractional and decimal form.i=1Xi50) xi=1000i=1200 and= 6. What is the mean and standard deviation of the dataset5. Consider a data set {x;}1₁ with x = 17 and s = 4. Find Σ₁ ; and Σº₁x².

Answered: 2. Consider a dataset {x}_1 with mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Hello, I was wondering if i could get help with these problems.

2. Consider a dataset {x;}_1 with mean and standard deviation s. Assume that two new
datasets, {y}_1 and {z;}?_₁, are created, defined by yi = - 4x; and z₁ = 2x; +T.
(a) Find the mean y of the dataset {y}_₁ in terms of and sx.
(b) Find the mean z of the dataset {z}_₁ in terms of ☎ and så.
(c) Find the standard deviation sy of the dataset {y;}?_₁ in terms of ☎ and så.
i=1
(d) Find the standard deviation sø of the dataset {z;}?_₁ in terms of ã and sï.

4. Consider a data set {x;}50₁ and assume that
50
(b) Now suppose that x₁
{xi} 52?
50
(1)
(a) Find the mean and standard deviations of the data set. Express you answers in both
fractional and decimal form.
i=1
Xi
50
) xi=1000
i=1
200 and
= 6. What is the mean and standard deviation of the dataset
5. Consider a data set {x;}1₁ with x = 17 and s = 4. Find Σ₁ ; and Σº₁x².

Expert Solution

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Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a time, so we are answering the first question as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining questions. And also, as per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.

Given:

$y_{i} = \frac{1}{3} - 4 x_{i}$

$z_{i} = 2 x_{i} + x$