How to solve this question

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

I can tell you how to solve this problem.
You can find the areas using both the values as the radiuses (find the are of a circle).
Subtract the smaller area from the larger area and there is your answer.
Hope this helped.
Good Luck!

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for the following data set calculate the percentage of data points that fall within one standard deviation of the mean, and comp

gayaneshka [121]

Answer:

First we need to find the mean and standard deviation of the given data.

The mean and standard deviation are given below:

$Mean=\frac{50+46+54+51+29+52+48+54+47+48}{10}=\frac{479}{10}=47.9$

$Standard-deviation=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1} }$

$=\sqrt{\frac{(50-47.9)^2+(46-47.9)^2+(54-47.9)^2+...+(48-47.9)^2}{10-1} }$

$=7.20$

We have:

$\bar{x} \pm s=(47.9 \pm 7.20)$

$=(47.9-7.20, 47.9+7.20)$

$=(40.7, 55.1)$

Therefore, the percentage of values that lies within one standard deviation of the mean is:

$\frac{9}{10} \times 100 =90\%$

The expected percentage of values within one standard deviation of the mean according to normal distribution is 68%.

Therefore, the observed percentage of values within one standard deviation of the mean is much higher than the expected percentage of a normal distribution.

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3 years ago

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Andreas93 [3]

Answer:

Step-by-step explanation:

³⁾2/3 = 6/9 ≠ 1/9

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