The standard deviation of six numbers 3, 3, 3, 5, 5, 5 is
A. 1
B. 4
C. 0
D. Cannot be obtained since the unit of measurement is not given
Answer: Option A
Solution (By Examveda Team)
Understanding Standard Deviation:Standard deviation tells us how spread out a set of numbers is. A small standard deviation means the numbers are clustered close together, while a large standard deviation means they are more spread out.
Calculating Standard Deviation (Simplified):
1. Find the average (mean) of the numbers. In this case, the average of 3, 3, 3, 5, 5, 5 is (3+3+3+5+5+5)/6 = 4
2. Find the difference between each number and the average. For example: 3 - 4 = -1, 5 - 4 = 1
3. Square each of those differences. This gets rid of the negative signs. (-1)² = 1, 1² = 1
4. Find the average of the squared differences. This is called the variance.
5. Take the square root of the variance. This is the standard deviation.
Applying it to the Question:
Let's do the calculation for the given numbers (3, 3, 3, 5, 5, 5):
* Average = 4
* Differences from the average: -1, -1, -1, 1, 1, 1
* Squared differences: 1, 1, 1, 1, 1, 1
* Average of squared differences (variance): (1+1+1+1+1+1)/6 = 1
* Square root of variance (standard deviation): √1 = 1
Therefore, the standard deviation is 1.
The correct answer is A.
Note: The unit of measurement doesn't affect the calculation of standard deviation; it only affects the units of the final answer.
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Comments (1)
Related Questions on Business Statistics and Research Methods
A. The central limit theorem
B. The law of statistical regularly
C. The law of inertia of large numbers
D. None of the above
The difference between sample statistic and its corresponding population parameter is
A. Sampling error
B. Measurement error
C. Coverage error
D. Non-response error
A. Both (A) and (R) are true
B. (A) is true, but (R) is false
C. (A) is false, but (R) is true
D. Both (A) and (R) are false

Wrong .. the answer will be option A
Simply find the sd it will be 1