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lucylubugg
18.07.2019 •
Physics
Given the data 11.4, 11.3, 11.2 and 11.1 cm determine the average and its standard deviation using equation
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Ответ:
Average
= 11.25 cm
standard deviation = 0.129 cm
Explanation:
The data provided in the question is:
x₁ = 11.4 cm
x₂ = 11.3 cm
x₃ = 11.2 cm
x₄ = 11.1 cm
total number of data points, N = 4
Now, the average is calculated as:
Average
= ![\frac{sum\ of\ all\ the\ data\ points }{number\ of\ data\ points}](/tpl/images/0102/9947/44197.png)
substituting the values in the above formula we get,
Average
= ![\frac{11.4cm+11.3cm+11.2cm+11.1cm }{4}](/tpl/images/0102/9947/d3c94.png)
Average
= 11.25 cm
Now the standard deviation is calculated as:
standard deviation =![\sqrt\frac{\sum_{i=1}^{4} \left(x_i - \bar x \right )^2}{N-1}](/tpl/images/0102/9947/8e018.png)
substituting the values in the above equation we get,
standard deviation =![\sqrt\frac{\left(11.4 - 11.25 \right )^2 + \left(11.3 - 11.25 \right )^2 + \left(11.2 - 11.25 \right )^2 + \left(11.1 - 11.25 \right )^2}{3}](/tpl/images/0102/9947/6fa5e.png)
or
standard deviation = 0.129 cm
Ответ:
Gneiss is a metamorphic rock. The cause of the bands is from segregation.