Mathematics, 22.07.2019 16:30 syong

(08.06)the following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9 5 2 22 10 3 3 5 after removing the outlier, what does the mean absolute deviation of this data set represent?

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Answer from: hardyaaron5048

The mean absolute deviation of this data is 4.13 inches.

Step-by-step explanation:

Let X be the set of the heights of the 11 plants.

Then mean of the given data $\bar{x}$ = $\frac{\sum_{i=1}^{n}x_i}{n}\\=\frac{9+4+10+9+5+2+22+10+3+3+5}{11}=7.45\ \text{inches}$

Now make table 1 , thus from table 1 we have ,

$\\\sum_{i=1}^{n}|x-x_i|}=45.45$

Mean absolute deviation = $\frac{\sum_{i=1}^{n}|x_i-\bar{x}|}{n}}=$

$=\frac{45.45}{11}=4.13\ \text{inches}$

The mean absolute deviation of this data is 4.13 inches.

(08.06)the following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9

Answer from: bellabrill

Step-by-step explanation:

Given the data

9, 4, 10, 9, 5, 2, 22, 10, 3, 3, 5

Mean deviation can be calculated using

X = Σ|x − μ| / N.

Where x is the given data

μ is the mean of the data

N is the frequency of data

Step 1: Find the mean:

μ = Σx. / N

μ = 9+4+10+9+5+2+22+10+3+3+5 /11

μ = 82 / 11

μ =7.45

Step 2: Find the distance of each value from that mean:

Note that, |x-μ| means that the magnitude of the value inside the parenthesis and it means it wonts return a negative value, so if the answer is negative, we will write positive

x. |x-μ|

9. 1.55

4. 3.45

10. 2.55

9. 1.55

5. 2.45

2. 5.45

22. 14.55

10. 2.55

3. 4.45

5. 2.45

Then,

Step 3. Find the mean of those distances

X = Σ|x − μ| / N.

X = 1.55 + 3.45 + 2.55 + 1.55 + 2.45 + 5.45 + 14.55 + 2.55 + 4.55 + 4.55 + 2.45 / 11

X = 45.45 / 11

X = 4.132

So, the mean = 7.45, and the mean deviation = 4.132.

It tells us how far, on average, all values are from the middle.

In that example the values are, on average, 4.132 away from the middle.

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

Answer from: Quest

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step-by-step explanation:

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