Normal Distribution Multiple Choice Questions and Answers for Practice

16. In a normal probability distribution of a continuous random variable, the value of standard deviation is:

1. Zero
2. Less than zero
3. Greater than zero
4. None of the above

17. In a standard normal distribution, the area to the left of Z = 1 is :

1. 0.6413
2. 0.7413
3. 0.8413
4. 0.3413

18. In a standard normal distribution, the value of mode is:

1. Equal to zero
2. Less than zero
3. Greater than zero
4. Exactly one

19. In normal distribution:

1. Mean = Median = Mode
2. Mean < Median < Mode
3. Mean > Median > Mode
4. Mean ≠ Median ≠ Mode

20. In normal probability distribution for a continuous random variable, the value of a mean deviation is approximately equal to:

1. (2/3)
2. 2/3 σ
3. (4/5)
4. 4/5 σ

21. Pearson’s constants for a normal distribution with mean μ and variance σ2 are:

1. β1=0, β2=0, γ1=0, γ2=0
2. β1=0, β2=1, γ1=1, γ2=3
3. β1=0, β2=3, γ1=0, γ2=0
4. β1=3, β2=0, γ1=0, γ2=0

22. The area to the left of (μ+σ) for a normal distribution is approximately equal to:

1. 0.16
2. 0.34
3. 0.5
4. 0.84

23. The coefficient of skewness of a normal distribution is:

1. Positive
2. Negative
3. Zero
4. Three

24. The lower and upper quartiles for a standardized normal variate are respectively:

1. -0.6745σ and 0.6745σ
2. -0.6745 σ and 0.6745
3. 0.7979σ and 0.7979σ
4. -0.7979 and 0.7979

25. The maximum ordinate of a normal curve is at:

1. X = μ
2. X = μ + σ
3. X = μ - 2σ
4. X = σ²

26. The mean and standard deviation of the standard normal distribution a respectively:

1. 0 and 1
2. 1 and 0
3. μ and σ²
4. π and e

27. The median of a normal distribution corresponds to a value of Z is:

1. 1
2. 0.5
3. -0.5

28. The normal curve is symmetrical and for symmetrical distribution, the values of all odd order moments about mean will always be:

1. 1
2. 0.5
3. 0.25

29. The normal distribution is a proper probability distribution of a continuous random variable, the total area under the curve f(x) is:

1. Equal to one
2. Less than one
3. More than one
4. Between -1 and +1

30. The normal probability density function curve is symmetrical about the mean, μ, i.e. the area to the right of the mean is the same as the area to the left of the mean. This means that P(X<μ) =P(X>μ) is equal to:

1. 1
2. 0.5
3. 0.25