Find the range and standard deviation of the set of data.
46, 44, 49, 39, 48, 40, 42

Step-by-step explanation:

The range of a data set is the difference between the least number and highest number in the data set.

The least number in the data set is .

The highest number in the data set is .

So,range is

Standard deviation measures how spread out the values in a data set are around the mean.

Let be the mean of the set.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough