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3 years ago

What is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 Round the answer to the tenths place.

Mathematics

2 answers:

Ainat [17]3 years ago

3 0

The standard deviation would be A. 2.4

Stels [109]3 years ago

3 0

Answer:

The correct option is A.

Step-by-step explanation:

The given data is

7, 3, 4, 2, 5, 6, 9

The mean of the data is

$\bar{x}=\frac{\sum{x}}{n}=\frac{36}{7}=5.142857$

The standard deviation of the data is

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

Using the below table put the values in the above formula,

$\sigma=\sqrt{\frac{34.85714}{7-1}$

$\sigma=\sqrt{5.80952381}$

$\sigma=2.410295378$

$\sigma\approx 2.4$

Therefore the correct option is A.

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Work Shown:

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Step-by-step explanation:

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