Mathematics, 30.05.2020 19:03 kyahshayovvu24

Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. Explain your reasoning. Find the mean, median, and mode(s) of the data with and without the outlier. Which measure did the outlier affect the most? 8, 10, 10, 11, 16, 17, 19, 21, 41

Answers: 2

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Answer from: brooklyns357

Replacing we got:

$\bar X = 17$

The median for this case since the sampe size of n = 9 is the value in the 5th position from the dataset ordered on increasing way and we got:

Median = 16

The mode for this case is the most reapeated value and we got:

Mode= 10

For this case we can use the median as the best measure since is resistant to any possible outliers from the dataset.

If we consider 41 as an outlier (since the distance for this value from the mean is too big compared with the rest of the values) we can find the new statistics and we got:

$\bar X = 14$

$Median = \frac{11+16}{2}= 13.5$

Mode= 10

The mode for this case is not affected for the outlier

Step-by-step explanation:

We have the following data given:

8, 10, 10, 11, 16, 17, 19, 21, 41

We can estimate the mean with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Replacing we got:

$\bar X = 17$

The median for this case since the sampe size of n = 9 is the value in the 5th position from the dataset ordered on increasing way and we got:

Median = 16

The mode for this case is the most reapeated value and we got:

Mode= 10

For this case we can use the median as the best measure since is resistant to any possible outliers from the dataset.

If we consider 41 as an outlier (since the distance for this value from the mean is too big compared with the rest of the values) we can find the new statistics and we got:

$\bar X = 14$

$Median = \frac{11+16}{2}= 13.5$

Mode= 10

The mode for this case is not affected for the outlier

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

Answer from: Quest

the f

last graph i believe

step-by-step explanation:

worked it out i believe

Which table represents a linear function?

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