Statistical Data Analysis Quiz

Explore statistical concepts with 12 questions covering means, distributions, hypothesis testing, and more. Test your understanding now!

Practice Learn Test

What is the mean of the following dataset: {3, 5, 7, 9, 11}?

Which measure of central tendency is most affected by extreme values or outliers?

Mean

Median

Mode

Standard deviation

Which statistical measure is most affected by outliers?

Mean

Median

Mode

Range

What does a p-value represent in hypothesis testing?

Probability of observing the given data if the null hypothesis is true

Probability of rejecting the null hypothesis when it is true

Probability of accepting the null hypothesis when it is true

Probability of observing a sample mean

Which distribution is commonly used to model the number of successes in a fixed number of independent Bernoulli trials?

Normal distribution

Binomial distribution

Poisson distribution

Exponential distribution

What is the coefficient of determination (R-squared) in linear regression used for?

To measure the strength of the relationship between independent and dependent variables

To measure the goodness of fit of the regression model

To determine the significance of coefficients in the model

To test the normality assumption of residuals

What is the formula for calculating the z-score?

(x - μ) / σ

(x - x̄) / σ

(x - μ) / s

(x - x̄) / s

What is the formula for calculating the standard deviation of a population?

sqrt((1/n) * Σ(x - μ)^2)

sqrt((1/(n-1)) * Σ(x - μ)^2)

sqrt((1/n) * Σ(x - x̄)^2)

sqrt((1/(n-1)) * Σ(x - x̄)^2)

In hypothesis testing, what does Type I error refer to?

Rejecting the null hypothesis when it is true

Failing to reject the null hypothesis when it is false

Accepting the null hypothesis when it is true

Accepting the alternative hypothesis when it is true

#10

What is the purpose of a Q-Q plot in statistics?

To visualize the distribution of data

To test the normality assumption of residuals

To compare two independent variables

To check for multicollinearity in regression analysis

#11

What is the purpose of the Kolmogorov-Smirnov test?

To test for normality in a dataset

To compare the means of two independent groups

To assess the homogeneity of variances

To determine the correlation coefficient

#12

What is the formula for calculating covariance between two variables?

Σ(x - μ)(y - ν) / n

Σ(x - x̄)(y - ȳ) / (n - 1)

Σ(x - μ)(y - ν) / (n - 1)

Σ(x - x̄)(y - ȳ) / n