A rod of XY of weight 16N is hinged at X and supported by a string at Y. The string is at angle 30°. The tension in the string i
s 16N.
What is the horizontal component of the force acting at X?
(A) 8N
(B) 9N
(C) 14N
(D) 16N
What is the horizontal component of the force acting at X?
(A) 8N
(B) 9N
(C) 14N
(D) 16N
1 answer:
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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