Given the data 11.4, 11.3, 11.2 and 11.1 cm determine the average and its standard deviation using equation

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 =

substituting the values in the above formula we get,

Average   =

Average   = 11.25 cm

Now the standard deviation is calculated as:

standard deviation =

substituting the values in the above equation we get,

standard deviation =

or

standard deviation = 0.129 cm

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.