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
Answer;
30.6 m
Explanation;
All objects accelerate at the constant rate in the Earth's gravitational field. The gravitational acceleration, g = 9.8 m/s².
Distance traveled by an object falling down under a constant acceleration will be given the formula;
s = ut² + 1/2(gt²); but u the initial velocity is o
thus;
S =1/2(gt²)
= 0.5 × 9.81 × 2.5 ²
= 30.65
≈ 30.6 m
I think it is D
Hope my answer help you?