Standard Deviation MCQs
Standard Deviation – MCQs with Answers & Explanations
Class: 11 | Subject: Economics (Statistics for Economics)
Section: Measures of Dispersion
Topic: Standard Deviation
As per CBSE Board Examination Pattern
Section: Measures of Dispersion
Topic: Standard Deviation
As per CBSE Board Examination Pattern
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination preparation.
1. Standard Deviation measures:
Answer: B
Standard Deviation (SD) is the most important measure of dispersion. It shows how much observations deviate from the mean.
Standard Deviation (SD) is the most important measure of dispersion. It shows how much observations deviate from the mean.
2. Standard Deviation is the square root of:
Answer: B
Variance is the average of squared deviations. SD is its square root.
Variance is the average of squared deviations. SD is its square root.
3. Symbol of Standard Deviation:
Answer: B
Sigma (σ) denotes Standard Deviation.
Sigma (σ) denotes Standard Deviation.
4. SD is based on deviations from:
Answer: C
All deviations are calculated from Arithmetic Mean.
All deviations are calculated from Arithmetic Mean.
5. Formula (Individual Series):
Answer: A
This is the direct method formula of SD.
This is the direct method formula of SD.
6. Squaring deviations helps to:
Answer: A
Squaring makes all deviations positive and measurable.
Squaring makes all deviations positive and measurable.
7. SD considers:
Answer: C
It uses every value, making it reliable.
It uses every value, making it reliable.
8. Higher SD indicates:
Answer: B
Greater SD → data widely spread.
Greater SD → data widely spread.
9. If all values are equal, SD =
Answer: C
No deviation exists when values are identical.
No deviation exists when values are identical.
10. SD is an improvement over:
Answer: C
It is more precise and mathematically sound.
It is more precise and mathematically sound.
11. Variance =
Answer: A
Variance is the square of SD.
Variance is the square of SD.
12. SD is always:
Answer: B
Square root of positive variance is positive.
Square root of positive variance is positive.
13. Best measure of dispersion:
Answer: C
It is most scientific and widely used.
It is most scientific and widely used.
14. Used in:
Answer: D
SD is universal in statistical analysis.
SD is universal in statistical analysis.
15. Step-deviation method simplifies:
Answer: A
It reduces large calculations.
It reduces large calculations.
16. SD is affected by:
Answer: A
Outliers increase SD significantly.
Outliers increase SD significantly.
17. Coefficient of SD =
Answer: A
It is a relative measure of dispersion.
It is a relative measure of dispersion.
18. Lower SD indicates:
Answer: A
Values are closely clustered.
Values are closely clustered.
19. SD is expressed in:
Answer: A
It retains original data units.
It retains original data units.
20. SD helps in:
Answer: D
It is widely used to study variability in Economics.
It is widely used to study variability in Economics.