Count: 0
Question No. 23
• Calculate standard deviation of given
set of result, 32.22, 32.64, 32.52, 32.46
Answer
A.
0.1766
B. 0.322
C.
0.7056
D. 0.0412
Answers
Answered by
0
Answer:
different colours are used ad signal for safety transport .From these the wavelengt
Explanation:
Answered by
0
Given,
A set of observations: 32.22, 32.64, 32.52, 32.46
To find,
The standard deviation of the given set of data.
Solution,
We can simply solve this mathematical problem using the following process:
Mean value of the given data = x
= (32.22 + 32.64 + 32.52 + 32.46)/4
= 129.84/4
= 32.46
Let the standard deviation be denoted as S.
Now,
Statistically,
S^2 = (summation of squares of all individual differences) / total number of observations
= {(0.24)^2 + (0.18)^2 + (0.06)^2 + (0)^2}/4
= (0.06)^2 (9 + 4 +1)/4
= (0.0036) x 14/4
= 7 x 0.0018
= 0.0126
=> S = √0.0126 = 0.11225
Hence, the standard deviation of the given set of data is equal to 0.11225.
Similar questions