Three randomly chosen colorado students were asked how many times they went rock climbing last month. their replies were 5, 6, 7. the standard deviation is:

To calculate the standard deviation we use the formula:
Where (x-X)² is the squared difference from the mean, and "n" is the number of samples.

First we calculate the mean, which is the sum of the samples divided by the number of samples:


Then we calculate the sum of the squared differences from the mean:



Now we can replace the values in the formula to get:




The standard deviation of the sample is 1

These traits are all equally important in recognizing the validity of artwork mainly due to an artists' consistent style and reputation which they have developed over a lengthy period of time. most famous paintings contain specific characteristics of the artist who created it. an appraiser would pay close attention to certain key elements within the painting, as well as an accuracy in measurement and color shade. blended textures and outlines are essential in recognizing an authentic piece from a copy. signature and imagery exist in epic proportions to balance out each trait as they coexist in harmony, depending on preference and style of each artist. no two original pieces are virtually identical, although it may be almost impossible to see discrepancy with the naked eye.

The answer is cave paintings