# Question #f4b1c

##### 1 Answer

Using the range approximation, our estimate for the standard deviation is

#### Explanation:

The range approximation says, "the standard deviation

#R/s~~["some constant"]#

Let's call this constant

#s~~(x_"max"-x_"min")/c#

The constant

Since our data set has 10 elements

Start with the formula, then plug in the known values to solve for

#s~~R/c#

#color(white)s=(x_"max"-x_"min")/c#

#color(white)s=(7-2)/3#

#color(white)s=5/3#

#color(white)s~~1.67#