Answer:
<em>The data set marked as B has the largest standard deviation</em>
Explanation:
<u>Standard Deviation</u>
It's a number used to show how a set of measurements is spread out from the average value. A low standard deviation means that most of the values are close to the average. A high standard deviation means that the numbers are more spread out.
The formula for the standard deviation is
Where is the value of each measurement, n is the number of elements in the set, and
is the average or media of the values, defined as
Let's analyze each set of data:
A.3,4,3,4,3,4,3
The average is
Computing the stardard deviation:
B.1,6,3,15,4,12,8
The average is
Computing the stardard deviation:
C. 20, 21,23,19,19,20,20
The average is
Computing the stardard deviation:
D.12,14,13,14,12,13,12
The average is
Computing the stardard deviation:
We can see the data set marked as B has the largest standard deviation