Welcome to the **Statistics MCQs** with Answers. In this post, we have shared a **Statistics Online Test** for different competitive exams. Find practice questions with answers of the **Statistics** test online multiple choice questions with answers here. Each question offers a chance to enhance your knowledge regarding Statistics.

What is the measure of central tendency that represents the middle value in a dataset?

a) Mean

b) Median

c) Mode

d) Range

Which of the following measures the spread of data in a dataset?

a) Mean

b) Standard deviation

c) Median

d) Mode

What type of distribution is represented by a bell-shaped curve?

a) Uniform distribution

b) Skewed distribution

c) Normal distribution

d) Exponential distribution

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

a) 68%

b) 50%

c) 95%

d) 99.7%

What is the probability of an event that is certain to occur?

a) 0

b) 0.5

c) 1

d) -1

What is the term for the most frequently occurring value in a dataset?

a) Mean

b) Median

c) Mode

d) Range

Which statistical test is used to compare the means of two independent groups?

a) Chi-square test

b) ANOVA

c) t-test

d) Regression

What does a correlation coefficient of 0 indicate?

a) Strong positive correlation

b) Strong negative correlation

c) No correlation

d) Perfect correlation

In hypothesis testing, what is the null hypothesis?

a) A statement that there is no effect or difference

b) A statement that there is an effect or difference

c) A prediction based on theory

d) A type of alternative hypothesis

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

a) Mean

b) Median

c) Mode

d) Interquartile range

What is the purpose of a box plot in statistics?

a) To display the distribution of data

b) To show the frequency of data points

c) To compare the means of different datasets

d) To calculate the standard deviation

What does a p-value less than 0.05 typically indicate in hypothesis testing?

a) Strong evidence against the null hypothesis

b) Weak evidence against the null hypothesis

c) Strong evidence for the null hypothesis

d) No evidence for or against the null hypothesis

What does the term “sampling error” refer to?

a) The difference between a sample statistic and a population parameter

b) The error in data collection methods

c) The error in calculating the mean

d) The error in selecting a sample

What is the main purpose of regression analysis?

a) To determine the relationship between variables

b) To calculate the mean

c) To compare means between groups

d) To estimate population parameters

What is the range of the correlation coefficient?

a) 0 to 1

b) -1 to 1

c) -1 to 0

d) 0 to 2

What is the term for the square root of the variance?

a) Mean

b) Median

c) Mode

d) Standard deviation

Which statistical test is used to determine if there is a significant difference between the expected and observed frequencies?

a) t-test

b) ANOVA

c) Chi-square test

d) Regression

What does the term “outlier” refer to in a dataset?

a) The average value of the data

b) A data point significantly different from others

c) The smallest value in the data

d) The middle value of the data

What is the primary purpose of descriptive statistics?

a) To describe and summarize data

b) To make predictions based on data

c) To test hypotheses

d) To establish causality

What is the term for a probability distribution with two modes?

a) Bimodal distribution

b) Uniform distribution

c) Normal distribution

d) Skewed distribution

Which of the following is an example of a categorical variable?

a) Height

b) Weight

c) Gender

d) Age

What is the purpose of inferential statistics?

a) To draw conclusions about a population based on a sample

b) To calculate the mean of a dataset

c) To describe the spread of data

d) To determine the mode of a dataset

What is the meaning of a confidence interval in statistics?

a) A range of values used to estimate a population parameter

b) The average of a dataset

c) The spread of data points

d) The number of observations in a dataset

Whatis the purpose of a scatter plot?

a) To show the relationship between two variables

b) To compare the means of different groups

c) To display the frequency distribution of data

d) To calculate the median of a dataset

Which measure of dispersion is defined as the difference between the highest and lowest values in a dataset?

a) Mean

b) Variance

c) Range

d) Standard deviation

What does the term “random variable” refer to in statistics?

a) A variable with fixed outcomes

b) A variable with outcomes determined by chance

c) A variable that changes over time

d) A variable with only one outcome

What is the main goal of hypothesis testing in statistics?

a) To confirm a hypothesis

b) To determine the probability of a hypothesis being true

c) To assess evidence against the null hypothesis

d) To prove a theory

What is a histogram used for in statistics?

a) To display the distribution of numerical data

b) To compare the means of different groups

c) To calculate the range of data

d) To determine the correlation between variables

In a normal distribution, what percentage of data falls within two standard deviations of the mean?

a) 50%

b) 68%

c) 95%

d) 99.7%

What does the term “null hypothesis” mean in statistics?

a) A statement that there is a significant difference

b) A statement that there is no significant difference

c) A prediction that the alternative hypothesis is true

d) A statement that data is skewed

What is the purpose of a Z-score in statistics?

a) To measure the distance of a data point from the mean

b) To calculate the mean of a dataset

c) To determine the median of a dataset

d) To find the mode of a dataset

What is the term for a distribution where the right tail is longer than the left?

a) Symmetric distribution

b) Left-skewed distribution

c) Right-skewed distribution

d) Bimodal distribution

Which of the following is a continuous variable?

a) Number of students in a class

b) Number of books on a shelf

c) Height of individuals

d) Number of cars in a parking lot

What is the primary purpose of the central limit theorem?

a) To explain the behavior of sample means

b) To calculate the variance of a population

c) To find the median of a dataset

d) To determine the mode of a dataset

What is the term for the average of the squared differences from the mean?

a) Mean

b) Variance

c) Range

d) Standard deviation

What is a Type I error in hypothesis testing?

a) Rejecting a true null hypothesis

b) Accepting a false null hypothesis

c) Failing to reject a false null hypothesis

d) Accepting a true null hypothesis

Which measure of central tendency is calculated by adding all the data points and dividing by the number of data points?

a) Median

b) Mode

c) Mean

d) Range

What does a positive skew in a dataset indicate?

a) The mean is less than the median

b) The mean is greater than the median

c) The mean is equal to the median

d) The mean and median are not related

Which statistical measure is used to identify the degree of relationship between two variables?

a) Mean

b) Standard deviation

c) Correlation coefficient

d) Variance

In regression analysis, what does the slope of the regression line represent?

a) The relationship between the independent and dependent variables

b) The average value of the dependent variable

c) The spread of data points

d) The intercept of the regression line

What is the primary use of a chi-square test?

a) To compare observed and expected frequencies

b) To calculate the mean of a dataset

c) To determine the range of data

d) To assess the correlation between variables

What does a standard deviation measure in a dataset?

a) The central tendency

b) The spread of data points around the mean

c) The number of observations

d) The relationship between variables

What is the difference between a population and a sample in statistics?

a) A population is a subset of a sample

b) A sample is a subset of a population

c) A population and a sample are the same

d) A sample is larger than a population

What is the term for the likelihood of an event occurring in probability?

a) Mean

b) Variance

c) Probability

d) Median

Which of the following is an example of a discrete variable?

a) Temperature

b) Height

c) Number of students

d) Weight

What is the purpose of a confidence interval in hypothesis testing?

a) To estimate the range of a population parameter

b) To calculate the mean of a dataset

c) To determine the mode of a dataset

d) To test the null hypothesis

What is the term for a dataset that has all values equal?

a) Uniform distribution

b) Bimodal distribution

c) Skewed distribution

d) Normal distribution

What does the term “regression” refer to in statistics?

a) The relationship between two or more variables

b) The central tendency of data

c) The spread of data points

d) The probability of an event

What is the purpose of a t-test in statistics?

a) To compare the means of two groups

b) To calculate the variance of a dataset

c) To determine the mode of a dataset

d) To test the null hypothesis

What is the primary difference between a histogram and a bar chart?

a) A histogram is used for continuous data, and a bar chart is used for categorical data

b) A histogram is used for categorical data, and a bar chart is used for continuous data

c) A histogram shows frequencies, and a bar chart shows percentages

d) A histogram and a bar chart are the same

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