NDA 2025
- Exam
- NDA
- Year
- 2025
- Subject
- Mathematics
- Chapter
- Statistics
NDA 2025 · Mathematics · Statistics
Consider the following for the two (02) items that follow: The sum...
Consider the following for the two (02) items that follow:
The sum and the sum of squares of the observations corresponding to length (in cm) and weight (in gm) of 50 tropical tubers are given as , , and .
Which one of the following statements is correct?
The sum and the sum of squares of the observations corresponding to length (in cm) and weight (in gm) of 50 tropical tubers are given as , , and .
Which one of the following statements is correct?
Options
- ACoefficient of variation of is strictly more than coefficient of variation of .
- BCoefficient of variation of is strictly less than coefficient of variation of .
- CCoefficient of variation of is same as coefficient of variation of .
- DCoefficient of variation cannot be determined from the given data.
Correct answer
A. Coefficient of variation of is strictly more than coefficient of variation of .
Step-by-step solution
Mean of ,
Mean of ,
Variance of ,
Standard deviation of ,
Variance of ,
Standard deviation of ,
Coefficient of variation of ,
Coefficient of variation of ,
Since , the coefficient of variation of is strictly more than the coefficient of variation of .
Answer: Coefficient of variation of is strictly more than coefficient of variation of .
Mean of ,
Variance of ,
Standard deviation of ,
Variance of ,
Standard deviation of ,
Coefficient of variation of ,
Coefficient of variation of ,
Since , the coefficient of variation of is strictly more than the coefficient of variation of .
Answer: Coefficient of variation of is strictly more than coefficient of variation of .