Normal Distribution Quiz 12

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Test your understanding of the Normal Distribution Quiz with this 20-question MCQ Test! Perfect for statisticians, data analysts, and students preparing for exams or job interviews. Covers key concepts such as mean, variance, standard deviation, Z-scores, and probability under the normal distribution. Check your answers and sharpen your statistical skills today! Let us start with the Online Normal Distribution Quiz now.

Online Normal Distribution Quiz with Answers

Online Multiple-Choice Type Questions about Normal Probability Distribution with Answers

1. In a normal curve $\mu \pm 2\sigma$ covers

 
 
 
 

2. Most of the area under the normal curve with parameter $\mu$ and $\sigma$ lies between

 
 
 
 

3. The normal probability distribution with mean $np$ and variance $npq$ may used to approximate the binomial distribution if $n\ge 50$ and both $np$ and $nq$ are

 
 
 
 

4. If $X$ is $N(\mu, \sigma^2)$ and if $Y=a+bX$ then mean and variance of $Y$ are, respectively:

 
 
 
 

5. The equation of the normal frequency distribution is

 
 
 
 

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

 
 
 
 

7. The semi-interquartile range for a standard normal random variable $Z$ is

 
 
 
 

8. For a normal distribution with mean $\mu$ and standard deviation $\sigma$

 
 
 
 

9. A random variable $X$ is normally distributed with $\mu=70$ and $\sigma^2=25$. The third moment about the arithmetic mean is

 
 
 
 

10. The median of a normal distribution corresponds to a value of $Z$ is ———.

 
 
 
 

11. The mean and standard deviation of the standard normal distribution are, respectively:

 
 
 
 

12. For the standard normal distribution $P(Z > mean)$ is

 
 
 
 

13. In a normal distribution, $Q_1=20$ and $Q_3=40$ then the mean is equal to

 
 
 
 

14. Given a standardized normal distribution (with a mean of zero and a standard deviation of one), $P(Z<variance)$ is equal to

 
 
 
 

15. If $X\sim N(\mu, \sigma^2)$ then $\beta_2$ is equal to

 
 
 
 

16. The area to the left of $(\mu + \sigma)$ for a normal distribution is approximately equal to

 
 
 
 

17. $P(\mu – \sigma < X <\mu + \sigma)$ is equal to

 
 
 
 

18. In $X$ is $N(\mu, \sigma^2)$, the percentage of the area contained within the limits $\mu\pm 3\sigma$

 
 
 
 

19. The probability density function of the standard normal distribution is

 
 
 
 

20. If $X\sim N(\mu, \sigma^2)$ then $\mu_4$ is equal to

 
 
 
 


Online Normal Distribution Quiz with Answers

  • A random variable $X$ is normally distributed with $\mu=70$ and $\sigma^2=25$. The third moment about the arithmetic mean is
  • For the standard normal distribution $P(Z > mean)$ is
  • Given a standardized normal distribution (with a mean of zero and a standard deviation of one), $P(Z<variance)$ is equal to
  • The area to the left of $(\mu + \sigma)$ for a normal distribution is approximately equal to
  • The median of a normal distribution corresponds to a value of $Z$ is ———.
  • The mean and standard deviation of the standard normal distribution are, respectively:
  • In a standard normal distribution, the area to the left of $Z=1$ is
  • The semi-interquartile range for a standard normal random variable $Z$ is
  • If $X\sim N(\mu, \sigma^2)$ then $\mu_4$ is equal to
  • If $X\sim N(\mu, \sigma^2)$ then $\beta_2$ is equal to
  • $P(\mu – \sigma < X <\mu + \sigma)$ is equal to
  • In a normal curve $\mu \pm 2\sigma$ covers
  • In $X$ is $N(\mu, \sigma^2)$, the percentage of the area contained within the limits $\mu\pm 3\sigma$
  • Most of the area under the normal curve with parameter $\mu$ and $\sigma$ lies between
  • The probability density function of the standard normal distribution is
  • The equation of the normal frequency distribution is
  • If $X$ is $N(\mu, \sigma^2)$ and if $Y=a+bX$ then mean and variance of $Y$ are, respectively:
  • For a normal distribution with mean $\mu$ and standard deviation $\sigma$
  • The normal probability distribution with mean $np$ and variance $npq$ may used to approximate the binomial distribution if $n\ge 50$ and both $np$ and $nq$ are
  • In a normal distribution, $Q_1=20$ and $Q_3=40$ then the mean is equal to

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Normal Probability Distribution Quiz 11

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Master the Normal Probability Distribution Quiz with this 20-MCQ Test! Test your knowledge of key concepts like symmetry, standard deviation, skewness, kurtosis, and more. Perfect for students, learners, data analysts, and professionals preparing for exams, job tests, and interviews. Includes detailed answers & explanations to boost your understanding of probability distributions. Let us start with the Online Normal Probability Distribution Quiz now.

Online Normal Probability Distribution Quiz with Answers
Please go to Normal Probability Distribution Quiz 11 to view the test

Online Normal Probability Distribution Quiz with Answers

  • The normal probability density function curve is symmetrical about the mean $\mu$, that is, the area to the right of the mean is the same as the area to the left of the mean. This means that $P(X<\mu)=P(X>\mu)$ is equal t:
  • The skewness and kurtosis of the normal distribution are, respectively
  • In a normal curve $\mu \pm 0.6745\sigma$ covers
  • The lower and upper quartiles for a standardized normal variate are, respectively
  • The maximum ordinate of a normal curve is at
  • The value of the standard deviation $\sigma$ of a normal distribution is always
  • If $X\sim N(100, 64)$ then standard deviation $\sigma$ is
  • If $Z\sim N(0, 1)$ the coefficient of variation is equal to
  • The points of inflection of the standard normal distribution lie at
  • If $Z\sim N(0, 1)$ then $\mu_4$ is equal to
  • The value of the second moment about the mean in a normal distribution is 5. The fourth moment about the mean in the distribution is
  • If $X$ is a normal random variable having mean $\mu$ then $E|X-\mu|$ is equal to
  • If $X$ is a normal random variable having mean $\mu$ then $E(X-\mu)^2$ is equal to
  • Which of the following is possible in a normal distribution?
  • The range of the standard normal distribution is
  • In the normal distribution, the value of the maximum ordinate is equal to
  • The value of the ordinate at points of infection of the normal curve is equal to
  • If $Z\sim N(0,1)$ then $\beta_2$ is equal to
  • Pearson’s constants for a normal distribution with mean $\mu$ and variance $\sigma^2$ are
  • The value of the maximum ordinate in the standard normal distribution is equal to

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MCQs Normal Probability Distribution

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Test your knowledge of MCQs Normal Probability Distribution with this 20-question MCQ quiz! Perfect for statisticians, data analysts, and scientists, this quiz covers key concepts like parameters, symmetry, standard deviation, quartiles, skewness, and more. Ideal for exam prep, job interviews, and competitive tests, these questions help reinforce your understanding of the normal distribution, its properties, and applications. Sharpen your skills and assess your expertise in one of the most fundamental topics in statistics! Let us start with the Online MCQs Normal Probability Distribution now.

Online MCQs Normal Probability Distribution with Answers
Please go to MCQs Normal Probability Distribution to view the test

Online MCQs Normal Probability Distribution with Answers

  • The range of the normal distribution is
  • In the normal distribution
  • Which of the following is true for the normal curve
  • In a normal curve, the ordinate is highest at
  • The parameters of the normal distribution are
  • The shape of the normal curve depends upon the value of
  • The normal distribution is a proper probability of a continuous random variable; the total area under the curve $f(x)$ is
  • In a normal probability distribution of a continuous random variable, the value of the standard deviation is
  • In a normal curve, the highest point on the curve occurs at the mean $\mu$, which is also the
  • The normal curve is symmetrical, and for a symmetrical distribution, the values of all odd-order moments about the mean will always be
  • if $x\sim N(\mu, \sigma^2)$, the points of inflection of normal distribution are
  • In a normal probability distribution for a continuous random variable, the value of the mean deviation is approximately equal to
  • In a normal distribution whose mean is 1 and standard deviation 0, the value 4 quartile deviation is approximately
  • In a normal distribution, the lower and upper quartiles are equidistant from the mean and are at a distance of
  • The value of $e$ is approximately equal to
  • The value of $\pi$ is approximately equal to
  • If $X\sim N(\mu, \sigma^2)$, the standard normal variate is distributed as
  • The coefficient of skewness of a normal distribution is
  • The total area of the normal probability density function is equal to
  • In a standard normal distribution, the value of the mode is

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