Statitistic MCQ from books

Q1. The statistical device which helps in analyzing the co-variation of two or more variables is
(a) variance
(b) probability
(c) correlation coefficient
(d) coefficient of skewness

Correct Answer (c) correlation coefficient

Q2. “The attempts to determine the degree of relationship between variables is correlation” is the definition given by
(a) A.M. Tuttle
(b) Ya-Kun-Chou
(c) A.L. Bowley
(d) Croxton and Cowden

Correct Answer (b) Ya-Kun-Chou

Q3. If the two variables do not have linear relationship between them then they are said to have
(a) positive correlation
(b) negative correlation
(c) uncorrelated
(d) spurious correlation

Correct Answer (c) uncorrelated

Q4. If all the plotted points lie on a straight line falling from upper left hand corner to lower right hand corner then it is called
(a) perfect positive correlation
(b) perfect negative correlation
(c) positive correlation
(d) negative correlation

Correct Answer (b) perfect negative correlation

Q5. If r = +1, then the correlation is called
(a) perfect positive correlation
(b) perfect negative correlation
(c) positive correlation
(d) negative correlation

Correct Answer (a) perfect positive correlation

Q6. The correlation coefficient lies in the interval
(a) -1 ≤ r ≤ 0
(b) –1 < r < 1
(c) 0 ≤ r ≤ 1
(d) –1 ≤ r ≤ 1

Correct Answer (d) –1 ≤ r ≤ 1

Q7. Rank correlation coefficient is given by

Correct Answer B

Q8. If £D² = 0, rank correlation is
(a) 0
(b) 1
(c) 0.5
(d) –1

Correct Answer (b) 1

Q9. Rank correlation was developed by
(a) Pearson
(b) Spearman
(c) Yule
(d) Fisher

Correct Answer (b) Spearman

Q10. Product moment coefficient of correlation is

Correct Answer B

Q11. The purpose of the study of ——is to identify the factors of influence and try to control them for better performance.
(a) mean
(b) correlation
(c) standard deviation
(d) skewness

Correct Answer (b) correlation

Q12. The height and weight of a group of persons will have —– correlation.
(a) positive
(b) negative
(c) zero
(d) both positive and negative

Correct Answer (a) positive

Q13. —– correlation studies the association of two variables with ordinal scale.
(a) A.M. Tuttle rank
(b) Croxton and Cowdon rank
(c) Karl Pearson’s rank
(d) Spearman’s rank.

Correct Answer (d) Spearman’s rank.

Q14. —– presents a graphic description of quantitative relation between two series of facts.
(a) scatter diagram
(b) bar diagram
(c) pareto diagram
(d) pie diagram

Correct Answer (a) scatter diagram

Q15. —– measures the degree of relationship between two variables.
(a) standard deviation
(b) correlation coefficient
(c) moment
(d) median

Correct Answer (b) correlation coefficient

Q16. The correlation coefficient of x and y is symmetric. Hence

(a) r_xy = r_yx
(b) r_xy > r_yx
(c) r_xy < r_yx
(d) r_xy ≠ r_yx

Correct Answer (a) rxy = ryx

Q17. If cov (x, y) = 0 then its interpretation is
(a) x and y are positively correlated
(b) x and y are negatively correlated
(c) x and y are uncorrelated
(d) x and y are independent

Correct Answer (c) x and y are uncorrelated

Q18. Rank correlation is useful to study data in —– scale.
(a) ratio
(b) ordinal
(c) nominal
(d) ratio and nominal

Correct Answer (b) ordinal

Q19. If r = 0 then cov(x, y) is
(a) 0
(b) +1
(c) -1
(d) α

Correct Answer (a) 0

Q20. If cov(x, y) = σ_x, σ_y then
(a) r = 0
(b) r = –1
(c) r = +1
(d) r = α

Correct Answer (c) r = +1