Normal Distribution Quiz 12

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

• 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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