3 years ago

How to solve this problem

Mathematics

2 answers:

mr Goodwill [35]3 years ago

7 0

10. 6.8 this is the nearest tenth

13. 3.7 this is the nearest tenth

16. 6.7 this is the nearest tenth

aleksklad [387]3 years ago

4 0

10.is6.782329983 13.is 3.741657387

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Use rounding to estimate the product. 4three-fourths • 7Start Fraction 2 over 17 End Fraction A. about 28 B. about 32 C. about 3

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Estimate the answer by rounding each fraction to the nearest whole number and then adding. 13 7/10 + 10 1/8

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Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2