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Elden [556K]
3 years ago
5

What is the standard deviation of the data set? Round to the nearest tenth if needed.

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

Answer:

<h2>The standard deviation is 2.6076809621.</h2>

Step-by-step explanation:

The set of values are 2, 4, 7, 8, 9.

The mean of these values are \frac{2 + 4 + 7 + 8 + 9}{5} = \frac{30}{5} = 6.

The mean of the squares of the differences of these numbers and the mean is \frac{(6 - 2)^{2} + (6 - 4)^{2} + (6 - 7)^{2} + (6 - 8)^{2} + (6 - 9)^{2}}{5} = \frac{(4)^{2} + (2)^{2} + (-1)^{2} + (-2)^{2} + (-3)^{2}}{5} = \frac{34}{5} = 6.8.

In order to get the value of the standard deviation, we need to square-root the value of 6.8.

Hence, the standard deviation of the data set is \sqrt{6.8} = 2.607680962081 ≅2.6076809621.

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