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Agricultural Statistics Quiz 1 for JRF/SRF Exam

Quiz Questions (fallback text view):

Q1. Mean, Median and Mode are
A) Measures of Central tendency
B) Measures of Dispersion
C) Measures of Skewness
D) Measures of Kurtosis
Answer: A
Explanation: They are statistical measures that summarize a data set.

Q2. A figure obtained by dividing the sum of all variable by their total number of variables is called
A) Averages/Arithmetic Mean
B) Median
C) Mode
D) Harmonic Mean
Answer: A
Explanation: Arithmetic Mean is calculated by dividing the total sum by the number of observations.

Q3. Which mean is affected by change in origin and scale both?
A) AM
B) GM
C) HM
D) Median
Answer: A
Explanation: Arithmetic Mean (AM) is affected by changes in both origin and scale.

Q4. The middle most value of the series is known as
A) Median
B) Mode
C) Arithmetic Mean
D) Harmonic Mean
Answer: A
Explanation: Median is the central value of a data set when arranged in order.

Q5. Which one represents the median?
A) 50th Percentile
B) 75th Percentile
C) 25th Percentile
D) 90th Percentile
Answer: A
Explanation: The median is the 50th percentile of a data set.

Q6. The most frequently occurred item in a data set is called
A) Mode
B) Median
C) Arithmetic Mean
D) Harmonic Mean
Answer: A
Explanation: Mode is the value that appears most frequently in a data set.

Q7. The relationship between AM, median, and mode in an asymmetrical distribution is
A) Mode = Median – Mean
B) Mode = Mean – Median
C) Mean = Mode – Median
D) Median = Mode – Mean
Answer: A
Explanation: In an asymmetrical distribution, this formula can describe the relationship.

Q8. The best measure of central tendency is
A) Arithmetic Mean (AM)
B) Median
C) Mode
D) Harmonic Mean
Answer: A
Explanation: Arithmetic Mean is often considered the best measure of central tendency.

Q9. The ratio of the number of observations to the sum of the reciprocal of the value of the different observations is known as
A) Harmonic Mean
B) Arithmetic Mean
C) Geometric Mean
D) Median
Answer: A
Explanation: Harmonic Mean is used for rates and ratios.

Q10. The order of three averages for a given data is
A) AM > GM > HM
B) GM > AM > HM
C) HM > AM > GM
D) GM > HM > AM
Answer: A
Explanation: Arithmetic Mean is usually greater than Geometric Mean, which is greater than Harmonic Mean.

Q11. Which mean is applied when dealing with rate, price, and speed of a vehicle?
A) HM
B) AM
C) GM
D) Median
Answer: A
Explanation: Harmonic Mean is suitable for rates and speeds.

Q12. Which mean is applied when dealing with relative changes such as bacterial growth or cell division?
A) GM
B) AM
C) HM
D) Median
Answer: A
Explanation: Geometric Mean is used for multiplicative and exponential growth rates.

Q13. The average of the sum of squares of the deviation about mean is called
A) Variance
B) Standard Deviation
C) Range
D) Coefficient of Variation
Answer: A
Explanation: Variance measures the spread of a set of data points.

Q14. The degree of scatter or variation of the variable about a central tendency is known as
A) Dispersion
B) Central Tendency
C) Skewness
D) Kurtosis
Answer: A
Explanation: Dispersion refers to how spread out the values in a data set are.

Q15. MD, SD, and Variance are
A) Measures of Dispersion/Spread
B) Measures of Central Tendency
C) Measures of Skewness
D) Measures of Kurtosis
Answer: A
Explanation: These are statistical measures used to describe the spread of data.

Q16. Half of the interquartile range is known as
A) Quartile Deviation
B) Standard Deviation
C) Variance
D) Range
Answer: A
Explanation: Quartile Deviation is a measure of spread based on quartiles.

Q17. The best measure of dispersion is
A) Standard Deviation (SD)
B) Variance
C) Range
D) Quartile Deviation
Answer: A
Explanation: Standard Deviation is widely used to measure data variability.

Q18. SD is always calculated by
A) AM
B) GM
C) HM
D) Median
Answer: A
Explanation: Standard Deviation is calculated using the Arithmetic Mean.

Q19. SD ranges from
A) 0 to ∞
B) 0 to 1
C) -1 to 1
D) 0 to 100
Answer: A
Explanation: Standard Deviation can range from zero to infinity.

Q20. The difference between the highest and lowest value of the series is called
A) Range
B) Variance
C) Standard Deviation
D) Quartile Deviation
Answer: A
Explanation: Range is the simplest measure of dispersion.

Q21. A unit-less figure based on two values is known as
A) Range
B) Coefficient of Variation
C) Variance
D) Standard Deviation
Answer: A
Explanation: Range is calculated using two extreme values.

Q22. Coefficient of variation is calculated by
A) CV = (SD/Mean) x 100
B) CV = (Mean/SD) x 100
C) CV = (SD/Variance) x 100
D) CV = (Variance/SD) x 100
Answer: A
Explanation: Coefficient of Variation is a standardized measure of dispersion.

Q23. The variation used to compare the variability between two series is
A) CV
B) Variance
C) Standard Deviation
D) Range
Answer: A
Explanation: Coefficient of Variation is useful for comparing variability.

Q24. Which is not a measure of dispersion?
A) CV
B) Range
C) Standard Deviation
D) Variance
Answer: A
Explanation: While CV is related to dispersion, it is not a direct measure.

Q25. The measures of the direction and degree of asymmetry are known as
A) Skewness
B) Kurtosis
C) Dispersion
D) Central Tendency
Answer: A
Explanation: Skewness measures asymmetry in a data distribution.

Q26. An idea about the flatness or peakedness of the curve is referred to as
A) Kurtosis
B) Skewness
C) Dispersion
D) Central Tendency
Answer: A
Explanation: Kurtosis describes the shape of a distribution’s tails.

Q27. The study of the association or degree and deviation between two or more variables is known as
A) Correlation
B) Regression
C) Dispersion
D) Skewness
Answer: A
Explanation: Correlation measures the strength and direction of a relationship.

Q28. Which is used to measure the average relationship between two or more variables?
A) Regression
B) Correlation
C) Dispersion
D) Skewness
Answer: A
Explanation: Regression analyzes the relationship between dependent and independent variables.

Q29. The distribution in which Mean > Variance is
A) Binomial distribution
B) Poisson distribution
C) Normal distribution
D) Uniform distribution
Answer: A
Explanation: In a binomial distribution, the mean is typically greater than the variance.

Q30. The test used for comparing two means when sample size is small (up to 30) is
A) ‘T’ test
B) ‘F’ test
C) CHI test
D) Z test
Answer: A
Explanation: The T-test is used for small sample sizes to compare means.

Q31. When the calculated F is greater than the table F value at 5% only, the differences in treatments are considered
A) Significant
B) Insignificant
C) Random
D) Unrelated
Answer: A
Explanation: If the calculated F exceeds the table value, the results are statistically significant.