Mathematical statistics

Standard deviation is the ________ of variance.

• Root

• Square root

• Normal

• Variance

The mean is the ________ of a set of values.

• Average

• Median

• Mode

• Range

In a normal distribution, approximately ________ of the data falls within one standard deviation of the mean.

• 99%

• 50%

• 95%

• 68%

The variance is a measure of ________ in a data set.

• Central tendency

• Dispersion

• Correlation

• Skewness

Write the probability mass function (PMF) of a Bernoulli distribution.

• P(X=x) = p (1-p)^(1-x), x=0,1

• P(X=x) = p^x (1-p)^(1-x), x=0,1,.....

• P(X=x) = p^x (1-p)^(1-x), x=0,1

• P(X=x) = p^x (1-p)(1-x), x=0,1

The coefficient of variation is a measure of ________ relative to the mean.

• Dispersion

• Central tendency

• Skewness

• Correlation

In a standard normal distribution, the mean is equal to ________.

• 1

• 0

• None of the above

• 2

The median is the ________ value in a sorted data set.

• Lowest

• Middle

• Highest

• Average

The mean of a binomial distribution is ________.

• np

• npq

• p-1

• pq

The mode is the value that appears ________ in a data set.

• Most frequently

• Least frequently

• In the middle

• At the ends