Advanced MCQ on Standard Deviation with Answer Key (Download PDF)







Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of data values. It indicates how much individual data points differ from the mean (average) of the dataset. A low standard deviation means that the data points are close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. Standard deviation is widely used in fields like finance, science, and quality control to assess variability and risk. This is an Advanced MCQ on Standard Deviation with Answer Key. You can Download the Questions as PDF from the link provided in the results page.

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1. 
What does the standard deviation measure in a dataset?

2. 
If all the values in a dataset are identical, what is the standard deviation?

3. 
What is the relationship between variance and standard deviation?

4. 
Which of the following statements is true about the standard deviation?

5. 
If the standard deviation of a dataset is large, what does it indicate about the data?

6. 
The standard deviation is most appropriately used to describe which type of data distribution?

7. 
What effect does adding a constant value to every observation in a dataset have on the standard deviation?

8. 
What does a standard deviation of 5 indicate in the context of a dataset?

9. 
Which of the following datasets has the smallest standard deviation?

10. 
In a normal distribution, what percentage of data lies within one standard deviation of the mean?

11. 
When computing the standard deviation of a sample, why do we divide by N−1 instead of N?

12. 
If a dataset has a mean of 50 and a standard deviation of 10, what is the z-score of a value of 70?

13. 
How does multiplying every observation in a dataset by a constant factor affect the standard deviation?How does multiplying every observation in a dataset by a constant factor affect the standard deviation?

14. 
The coefficient of variation is defined as:

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