Statistics Quiz – Statistics Multiple Choice Questions and Answers

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Statistics Quiz – Statistics Multiple Choice Questions and Answers: Are you looking for the Statistics Quizzes Questions & Answers? If yes then you are in right place. By this article, candidates can know how familiar they are with the Statistics Concepts. We advise all the students to take the online Statistics MCQ Questions and Answers to evaluate their skills in the Statistics topics. This Statistics Quizzes will also review the fundamentals of Statistics. And moreover, candidates have to know that the provided Statistics Multiple Choice Questions and Answers are for the sake of preparation, and practice purpose.

Statistics Quiz – Details

Practice Statistics Quizzes Questions & Answers

What is the mode of the following dataset: 2, 4, 5, 6, 6, 7, 8, 9, 10?
a) 6
b) 5
c) 8
d) 9
Answer: a) 6
Explanation: The mode is the value that appears most frequently in a dataset. In this case, the number 6 appears twice, which is more than any other value in the dataset.

Which measure of central tendency is best for describing a skewed dataset?
a) Mean
b) Median
c) Mode
d) Range
Answer: b) Median
Explanation: Skewed datasets have a long tail on one side, which can make the mean an unreliable measure of central tendency. The median, on the other hand, is not affected by extreme values, making it a better measure for describing skewed data.

Which of the following is NOT a type of probability sampling?
a) Simple random sampling
b) Stratified random sampling
c) Convenience sampling
d) Cluster sampling
Answer: c) Convenience sampling
Explanation: Convenience sampling is a type of non-probability sampling, which involves selecting participants who are easily accessible or available. It is not a type of probability sampling, which involves selecting participants based on a random process.

A hypothesis test is used to:
a) Estimate a population parameter
b) Test a claim about a population parameter
c) Compute the standard error of a sample
d) Construct a confidence interval for a sample mean
Answer: b) Test a claim about a population parameter
Explanation: A hypothesis test is used to determine whether a claim about a population parameter is supported by the evidence in a sample. The test involves comparing the sample data to what would be expected if the null hypothesis were true.

In a normal distribution, what percentage of the data falls within one standard deviation of the mean?
a) 68%
b) 95%
c) 99%
d) 100%
Answer: a) 68%
Explanation: In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. This is known as the 68-95-99.7 rule.

The coefficient of determination (R-squared) measures:
a) The strength of the linear relationship between two variables
b) The proportion of variance in the dependent variable explained by the independent variable
c) The standard deviation of the residuals in a regression model
d) The correlation between the residuals and the dependent variable
Answer: b) The proportion of variance in the dependent variable explained by the independent variable
Explanation: The coefficient of determination (R-squared) measures the proportion of variance in the dependent variable that is explained by the independent variable in a linear regression model.

Which of the following is a measure of association for nominal data?
a) Pearson correlation coefficient
b) Spearman’s rank correlation coefficient
c) Gamma
d) None of the above
Answer: d) None of the above
Explanation: Measures of association for nominal data include chi-square, Cramer’s V, and phi. Pearson correlation coefficient and Spearman’s rank correlation coefficient are measures of association for continuous data. Gamma is a measure of association for ordinal data.

Which of the following is an example of a discrete variable?
a) Weight
b) Age
c) Number of siblings
d) Height
Answer: c) Number of siblings
Explanation: Discrete variables are variables that can only take on integer values, such as the number of siblings someone has. Continuous variables, on the other hand, can take on any value within a range, such as weight or height.

Which of the following is a measure of spread in a dataset?
a) Mean
b) Median
c) Standard deviation
d) Mode
Answer: c) Standard deviation
Explanation: Standard deviation is a measure of spread or variability in a dataset. It measures how far the data points are from the mean of the dataset. A high standard deviation indicates that the data points are spread out, while a low standard deviation indicates that the data points are close together.

Which of the following is a non-parametric test?
a) T-test
b) ANOVA
c) Wilcoxon rank-sum test
d) Chi-square test
Answer: c) Wilcoxon rank-sum test
Explanation: Non-parametric tests are statistical tests that do not make any assumptions about the distribution of the data. The Wilcoxon rank-sum test is a non-parametric alternative to the t-test for comparing two independent samples.

A p-value of 0.05 means:
a) There is a 5% chance of making a Type I error
b) There is a 5% chance of making a Type II error
c) The null hypothesis is true with 95% confidence
d) The alternative hypothesis is true with 95% confidence
Answer: a) There is a 5% chance of making a Type I error
Explanation: The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. A p-value of 0.05 means that there is a 5% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true.

Which of the following is a measure of variability in a sample?
a) Standard deviation
b) Variance
c) Range
d) All of the above
Answer: d) All of the above
Explanation: Standard deviation, variance, and range are all measures of variability in a sample. They describe how spread out the data points are from the mean of the sample.

A confidence interval is a range of values that:
a) Describes the variability in a sample
b) Estimates the true population parameter with a certain degree of confidence
c) Tests a claim about a population parameter
d) Measures the strength of the linear relationship between two variables
Answer: b) Estimates the true population parameter with a certain degree of confidence
Explanation: A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. The confidence level is typically set at 95% or 99%.

The null hypothesis is typically denoted by:
a) H0
b) Ha
c) H1
d) Hx
Answer: a) H0
Explanation: The null hypothesis is a statement that there is no significant difference between two populations or no significant effect of an independent variable on a dependent variable. It is typically denoted by H0.

A Type II error occurs when:
a) The null hypothesis is rejected when it is actually true
b) The null hypothesis is accepted when it is actually false
c) The sample size is too small to detect a true effect
d) The p-value is greater than the alpha level
Answer: b) The null hypothesis is accepted when it is actually false
Explanation: A Type II error occurs when the null hypothesis is accepted when it is actually false. This means that a true effect is not detected, even though it exists in the population.

Which of the following is a measure of association for continuous data?
a) Chi-square
b) Cramer’s V
c) Phi
d) Pearson correlation coefficient
Answer: d) Pearson correlation coefficient
Explanation: The Pearson correlation coefficient is a measure of association between two continuous variables. It measures the strength and direction of the linear relationship between the variables. Chi-square, Cramer’s V, and Phi are measures of association for categorical data.

In hypothesis testing, the alpha level is:
a) The probability of making a Type I error
b) The probability of making a Type II error
c) The probability of obtaining a test statistic as extreme or more extreme than the one observed
d) The degree of confidence in the null hypothesis
Answer: a) The probability of making a Type I error
Explanation: The alpha level is the significance level used in hypothesis testing. It is the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. The alpha level is typically set at 0.05 or 0.01.

A histogram is a graph of:
a) Frequency of categorical data
b) Frequency of continuous data
c) Proportion of categorical data
d) Proportion of continuous data
Answer: b) Frequency of continuous data
Explanation: A histogram is a graph of the frequency distribution of a continuous variable. It consists of bars that represent the frequency of data points in each interval, or bin, of the variable.

The F-test is used to:
a) Compare two independent samples
b) Compare two related samples
c) Compare more than two independent samples
d) Compare more than two related samples
Answer: c) Compare more than two independent samples
Explanation: The F-test, or ANOVA, is used to compare the means of more than two independent samples. It tests the null hypothesis that there is no significant difference between the means of the samples.

Which of the following is a measure of effect size for comparing two independent samples?
a) Cohen’s d
b) Pearson correlation coefficient
c) Phi coefficient
d) Cramer’s V
Answer: a) Cohen’s d
Explanation: Cohen’s d is a measure of effect size for comparing the means of two independent samples. It measures the standardized difference between the means, or the difference in means relative to the standard deviation of the samples. Pearson correlation coefficient, Phi coefficient, and Cramer’s V are measures of association, not effect size.

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