Arrange the following in terms of increasing range of values they can take:
(A) Coefficient of determination (B) Sum of the deviations about mean (C) Standard normal variate (D) Coefficient of correlation
Choose the correct answer from the options given below:

Correct option is D

Explanation:
Let’s analyze the range of each statistic:
· (B) Sum of the deviations about the mean
· Always equals zero.
· Range = 0 → Lowest range
· (A) Coefficient of determination (R²)
· Measures the proportion of variance explained by a regression model.
· Range: 0 to 1 → Small positive range
· (D) Coefficient of correlation (r)
· Measures strength and direction of linear relationship.
· Range: -1 to +1 → Wider than R²
· (C) Standard normal variate (Z)
· Values follow a normal distribution with mean 0 and std dev 1.
· Range: theoretically −∞ to +∞ → Widest range
Additional Information:
· Option (4) correctly orders them by increasing range:
· (B) → (A) → (D) → (C)
· All other options fail to correctly represent the scale of values.