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# Online Practice Tests of Statistics MCQs

Are you worried about the initial statistics test for joining the Pak Army, Navy, or PAF? Don’t be! With the right preparation, you can ace this test and increase your chances of getting into your dream service.

Statistics is a challenging subject, but it’s not impossible to master. With a good understanding of the basics and a lot of practice, you can be well on your way to success.

Here are a few tips to help you prepare for the statistics test:

• Start by learning the basics of statistics. This includes topics such as probability, descriptive statistics, and inferential statistics.
• Get a good statistics textbook or online course.
• Practice answering statistics MCQs. There are many resources available online and in libraries.

With hard work and dedication, you can ace the statistics test and achieve your dream of joining the Pak Army, Navy, or PAF.

## Free Practice Tests of Statistics MCQs with Answers

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Statistics Quiz

A tabulation of cumulative absolute frequency values is useful in determining:-

A random variable that assume a finite or countably infinite number of value is called;-

Statistical _____ deal with the conclusion about parameter through sample data:-

For event A and B with P(B) > 0, Which is always true:-

MLE becomes asymptotically efficient if n→:-

An example of a measurements scale with an interval rather than a ratio scale is:-

Which is not a measure of variability:-

Which measures of central tendency would be appropriate if you had mostly extremely high scores and extremely low scores on some items measured at the ratio level":-

For a negatively skewed distribution, the correct inequality is:-

Statistical laws are valid in:-

If X and Y have the variance 25 and 9 the SD(X-Y) is:-

A die is rolled four times, The probability of getting two 3s, one 4s, and one 5 is:-

Relative frequency histogram convey less information than____:-

The different books can be arranged on a shelf in______ ways:-

In a box there are 6 white marbles , 3 blue marbles, and 1 red marble, If a marble is selected at random, What is the probability that it is blue or red:-

In  statistics, a population consist of:-

A card is drawn at random from a deck of 52 cards. The probability that it is a spade is:-

When a die is rolled, the probability of getting a number greater than 4 is:-

A numerical value calculated from sample is called:-

The repetition of the basic experiment is called:-

The arithmetic Mean of two non negative numbers is 5. Their standard deviation will be:-

Height of students in a class is an example of_______ variable:-

Raw data means:-

Percentage bar diagram has:-

An ogive curve is used to locate:-

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## Statistics MCQs for Beginners

• In statistics, data can be classified into two main types: __________ and quantitative. (Qualitative)

• The most common measure of central tendency is the __________. (Mean)

• In statistics, the __________ is the middle value of a dataset when it is arranged in ascending order. (Median)

• The __________ is a measure of how spread out the data values are around the mean. (Standard deviation)

• The range of a dataset is calculated by subtracting the __________ from the maximum value. (Minimum)

• The measure of data’s spread or dispersion is called __________. (Variance)

• A histogram is a graphical representation of the __________ of a dataset. (Frequency distribution)

• The __________ is the most frequently occurring value in a dataset. (Mode)

## Statistics MCQs for Competitive Exams

• A __________ is a graphical representation of the distribution of a dataset, often showing outliers. (Box plot)

• The __________ is a measure of the relationship between two variables and ranges from -1 to 1. (Correlation coefficient)

• The measure of the __________ is the average of the squared differences between each data point and the mean. (variance)

• In hypothesis testing, the level of significance, often denoted as __________, represents the probability of making a Type I error. (alpha)

• The __________ distribution is used in hypothesis testing when dealing with small sample sizes or when the population standard deviation is unknown. (t)

• The process of selecting a random sample so that each individual has an equal chance of being included is called __________ sampling. (simple random)

• In a normal distribution, approximately __________ percent of the data falls within one standard deviation from the mean. (68%)

## Statistics MCQs on Probability

• In probability theory, the sum of all possible outcomes of an event is always equal to __________. (1)

• The probability of two independent events A and B occurring is calculated by multiplying the probability of A by the probability of __________. (B)

• Probability is a numerical measure of the likelihood of an event occurring, typically expressed as a number between __________. (0 and 1)

• The probability of the complement of an event A is denoted as __________ and is equal to 1 minus the probability of event A. (P(A’))

• In a fair six-sided die, the probability of rolling an odd number is __________. (1/2 or 0.5)

• The __________ rule is used to calculate the probability of the intersection of two independent events and is expressed as P(A ∩ B) = P(A) * P(B). (multiplication)

• The total probability of all possible outcomes in a sample space must always equal __________. (1 or 100%)

## Statistics MCQs on Descriptive Statistics

• __________ is the process of summarizing and organizing data using tables, graphs, or summary statistics. (Descriptive statistics)

• The most frequently occurring value in a dataset is called the __________. (Mode)

• In descriptive statistics, the __________ is a measure of central tendency that represents the typical or average value in a dataset. (mean)

• The __________, often used in descriptive statistics, is a measure that indicates the spread or variability of data points around the mean. (standard deviation)

• What term in descriptive statistics refers to the value that separates the higher half from the lower half of a dataset when it is ordered from smallest to largest? (median)

• When describing a dataset, identifying the __________ helps to understand which value appears most frequently. (mode)

• A __________ is a visual representation used in descriptive statistics to show the distribution of data, including potential outliers. (box plot)

## Statistics MCQs on Inferential Statistics

• __________ is the process of making predictions or inferences about a population based on a sample of data. (Inferential statistics)

• The level of confidence associated with a confidence interval represents the probability that the interval contains the __________. (Population parameter)

• Inferential statistics is a branch of statistics that helps in drawing __________ about populations based on sample data. (inferences)

• In hypothesis testing, the __________ hypothesis represents the status quo or the absence of an effect. (null)

• The p-value in hypothesis testing indicates the probability of obtaining results as extreme as the observed data, assuming that the __________ hypothesis is true. (null)

• A __________ is a range of values within which a population parameter is estimated to lie, often with a specified level of confidence. (confidence interval)

• In inferential statistics, the __________ level represents the probability of making a Type I error when rejecting the null hypothesis. (significance)

## Statistics MCQs on Hypothesis Testing

• In hypothesis testing, the null hypothesis is denoted by __________. (H0)

• The p-value represents the probability of obtaining results as extreme as the observed data under the assumption that the __________ is true. (Null hypothesis)

• Hypothesis testing is a statistical method used to evaluate and make __________ about population parameters based on sample data. (inferences)

• In hypothesis testing, the __________ hypothesis represents the status quo or the absence of an effect. (null)

• The p-value in hypothesis testing measures the probability of obtaining results as extreme as the observed data, assuming that the __________ hypothesis is true. (null)

• The __________ rule is a common criterion for deciding whether to reject the null hypothesis in hypothesis testing. (alpha)

• A confidence interval represents a range of values within which a population parameter is estimated to lie, often with a specified level of __________. (confidence)

## Statistics MCQs on Regression Analysis

• In linear regression, the variable to be predicted is called the __________ variable. (Dependent)

• The line that best fits the data in a regression analysis is known as the __________. (Regression line)

• Regression analysis is a statistical technique used to model and analyze the __________ between variables. (relationships)

• In simple linear regression, the variable that we are trying to predict is called the __________ variable. (dependent)

• The line that best fits the data in a regression analysis is known as the __________. (regression line)

• In multiple regression analysis, we can predict an outcome based on __________ independent variables. (multiple)

• The coefficient of determination, denoted as __________, represents the proportion of variance explained by the regression model. (R-squared)

## Statistics MCQs on Time Series Analysis

• Time series data involves observations collected or recorded over __________. (Time periods)

• __________ is a statistical technique used to forecast future values based on historical time series data. (Time series analysis)

• Time series analysis is a statistical method used to analyze data that is collected or recorded over __________. (time periods)

• In time series analysis, the __________ is often used to visualize and identify patterns or trends in data over time. (line graph)

• __________ is a statistical technique used in time series analysis to forecast future values based on historical time series data. (forecasting)

• The __________ component of a time series represents the underlying trend or long-term pattern in the data. (trend)

• Seasonal decomposition is a process in time series analysis that separates data into trend, seasonal, and __________ components. (residual)

## Statistics MCQs on Multivariate Analysis

• Multivariate analysis deals with the analysis of data involving __________ variables simultaneously. (Multiple)

• Principal Component Analysis (PCA) is a technique used in multivariate analysis for __________ reduction. (Dimensionality)

• Multivariate analysis is a statistical technique used to analyze and understand the relationships among __________ variables simultaneously. (multiple)

• Principal Component Analysis (PCA) is a common dimensionality reduction technique used in __________ analysis. (multivariate)

• In multivariate analysis, __________ is the process of transforming data into a new coordinate system to simplify its interpretation. (dimensionality reduction)

• __________ analysis is a type of multivariate analysis that focuses on the relationship between multiple dependent variables and one or more independent variables. (multivariate regression)

• In multivariate analysis, __________ is used to identify underlying patterns and relationships within a dataset with multiple variables. (exploratory data analysis)