Respuesta :

The standard deviation would be A. 2.4

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

[tex]\bar{x}=\frac{\sum{x}}{n}=\frac{36}{7}=5.142857[/tex]

The standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum{(x-\bar{x})^2}}{n-1}[/tex]

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

[tex]\sigma=\sqrt{\frac{34.85714}{7-1}[/tex]

[tex]\sigma=\sqrt{5.80952381}[/tex]

[tex]\sigma=2.410295378[/tex]

[tex]\sigma\approx 2.4[/tex]

Therefore the correct option is A.

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