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UNO [17]
3 years ago
11

Find the standard deviation of the data set below. Round to the nearest tenth, 6, 5, 2, 5,8

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

The standard deviation = 1.9

Step-by-step explanation:

standard deviation, ρ = sqrt ( \frac{sum(x_{i}  - u)^{2} }{N})

Where u is the mean of the data, x_{i} each given value, and N is the number of data given.

Mean, u = \frac{6+5+2+5+8}{5}

              = 5.2

So that;

(6-5.2)^{2}  = (0.8)^{2} = 0.64

(5-5.2)^{2} = (-0.2)^{2} = 0.04

(2-5.2)^{2}  = (-3.2)^{2} = 10.24

(5-5.2)^{2} = (-0.2)^{2} = 0.04

(8-5.2)^{2} = (2.8)^{2} = 7.84

Sum = 18.8

So that;

\sqrt{\frac{18.8}{5} }  = \sqrt{3.76}

          = 1.9391

          = 1.9

The standard deviation of the given data is 1.9

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