Which of the following are correct about the characteristics of Normal Curve?
A. The curve is asymptotic towards the base line.
B. The quartile deviation of normal distribution is 3/2.
C. The point of inflexion of the curve is given by
D. Total area of normal curve is considered to be 100%.
E. Limit of to covers 68.26% area.
Choose the correct answer from the options given below:

Correct option is D

Correct Statements: 1. A. The curve is asymptotic towards the baseline:
· Correct. The tails of the normal curve extend indefinitely without touching the baseline, representing that extreme values are possible but have a very low probability.
2. D. The total area of the normal curve is considered to be 100%:
· Correct. The total area under the curve represents the entire probability distribution, which is 1 or 100%.
3. E. The limit of μ−σ\mu - \sigmaμ−σ to μ+σ\mu + \sigmaμ+σ covers 68.26% area:
· Correct. Approximately 68.26% of the data lies within one standard deviation from the mean in a normal distribution.
Incorrect Statements: · B. The quartile deviation of normal distribution is 3/2:
· Incorrect. The quartile deviation is not 3/2 in a normal distribution. Instead, the interquartile range (IQR) is 1.34σ1.34\sigma1.34σ, and the quartile deviation is 0.67σ0.67\sigma0.67σ.
· C. The point of inflexion of the curve is given by σ±μ\sigma \pm \muσ±μ:
· Incorrect. The points of inflexion occur at μ±σ\mu \pm \sigmaμ±σ, not σ±μ\sigma \pm \muσ±μ.
Correct Answer: (d) A, D, E only Information Booster 1. Key Characteristics of the Normal Curve:
· Bell-shaped and symmetric about the mean (μ\muμ).
· Total area under the curve = 100%.
· The curve approaches the baseline but never touches it (asymptotic).
· Points of inflexion occur at μ±σ\mu \pm \sigmaμ±σ.
2. Data Distribution:
· μ±σ\mu \pm \sigmaμ±σ: Covers 68.26%.
· μ±2σ\mu \pm 2\sigmaμ±2σ: Covers 95.44%.
· μ±3σ\mu \pm 3\sigmaμ±3σ: Covers 99.73%.
3. Applications in Research and Testing:
· Frequently used in hypothesis testing, grading, and quality control.