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siniylev [52]
3 years ago
8

22, 23, 23, 24, 20, 8 What is the most appropriate measure of center?

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer:

In this data set, the <u>number 8 is an outlier. </u>

<u> An outlier is a value that is far away from the rest of the numbers </u>(either a lot smaller or a lot greater).

Because there is an outlier, the measure of center that best represents the data would be the <u>median (the middle value)</u>.

<u> The mean will not be accurate because the outlier will make it smaller than what is actually being represented in all of the numbers but one.</u>

Hope this helps!!!!

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A farmer has 220 bushels of wheat to sell it has roadside stand he sells an average of 14 and three-quarter bushels each day rep
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Total change in Sales of Bushels =116\frac{3}{4}

Step-by-step explanation:

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A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

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Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

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3 years ago
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