What comes to mind when you hear the word statistics? Arithmetics, survey, probability, Tane variables, collection of data, data analysis, and interpretation of your results, right? That is very correct! Statistics also involves normal variables, random sampling, deducing values from data, prediction, solving practice questions, and more.
Solving statistics practice problems is helpful either as a normal student taking statistics as a course or as a data analyst already working in the field.
In statistics, there is a mathematical formula called the Bayesian theorem which is also called Baye's theorem. This theorem is a very important one in statistics that deals with the use of probability to determine the likelihood of an event occurring.
Statistics is a science that deals with solving problems by seeking questions through data analysis. Solving statistical practice questions involves four major processes which are:
- Knowing the aim of solving that question
- Collecting the appropriate data
- Analysing the data
- Interpretation of your results
Basic Statistics Terminologies for Solving Statistical Practice Questions
To solve statistical problems, there are some basic terms you need to fully understand. You must be familiar with terms like probability, mean, median, regression, random variables, data sample, and more.
It is important to get yourself familiar with these before thinking of solving statistical problems.
The following are some basic terms you need to have in mind to be able to solve a statistical problem effectively:
- Population: A population is a collection of information which are usually people, things, places, or objects for the aim of studying them. The population size of interest can be a large one or a small one, depending on what you're working on.
- Sample: This is a subset of the population, they're being selected from the population to study the population in a close and detailed way. They contain the features of the larger population but in a smaller size.
- Parameters: These are useful components of statistical analysis, it's a feature used to define a given population. They're usually values that summarize the whole population.
- Statistic: This is a number that usually represents the features of a sample. They are numbers computed from normal values in a sample, which is considered for statistical analysis.
- Data: These are pieces of recorded information that are used for statistical analysis. With data analysis, you can create statistics.
How to Interpret Basic Statistics Questions
To answer any statistical question, you'll have to collect your data, sort them out and check for variations in trends and patterns.
Examples of statistical questions are:
- What type of food do students eat in the morning?
- What time do students arrive at school every day?
- How many students love to solve math problems?
- How many scientists do we have in Nigeria?
If you notice, these are not questions you can provide answers to directly. They require giving your time to research, survey, and analysis of data you've collected on the topic. That is why they're called statistical problems.
For you to interpret statistical practice questions as a scientist, you must have an idea of the data you're working on and the suitable test for it. In addition, you must be able to provide the correct answer to the question.
Using a table, analysis software like Python can help you analyse your data to get your accurate answer without deviation from the normal question.
Example of the common tests you'll be introduced to in your basic statistics lesson:
- The chi-square
- The T-test
After you might have collated your data, these tests with the use of hypothesis testing will help you ascertain if variables within the data are related or not.
For instance, when determining the type of food a typical Nigerian student eats every morning, you can make use of the chi-square to get this statistical problem solved. The chi-square helps you determine if the distribution of a sample aligns with that of the population, with the aid of the chi-square table.
With the chi-square, you can also solve probability problems. However, your standard deviation knowledge is also required. While using the chi-square, you need to draft a table of your expected frequency and observed frequency to make it easier for you to solve.
Also, it all depends on the size of data you're working with.
You can make use of the T-test when the exact population parameters are not known. It is used to check for variations between the mean of two groups. Moreover, this helps you to know if the two groups are different from one another.
The T-test also allows the testing of an assumption that applies to a certain population to find information and answer your question. It is used to know if a process is effective on two different samples.
Furthermore, learning online is an option if you're confused about what test to perform on your data set. You can watch free YouTube videos in your free time. Also, if you want smooth learning you can book a tutor on Superprof or attend statistics lessons physically.
How to Solve Simple Statistics Problems
There are different types of statistical problem which includes the mean, median, mode standard deviation, regression, confidence interval, variance, and hypothesis test. Most statistics problems for data analysis always involve the terminologies we mentioned earlier, symbols, and also formulas. Also, you need your math skills here.
Learning to solve the statistical problem could be stress-free if you are good with mental sum. As a data scientist, you should know how to make a connection between statistical ideas and formulas. In other words, you should know how to interpret statistical questions.
To solve statistical practice questions, you have to know the suitable formula to use for each statistical question. A formula is a group of statistical symbols that are used to make a statistical statement.
The following are examples of how to solve a basic statistics problem:
Calculating the Mean
To find the mean of your population distribution, you have to add the values in your data set and divide by the total number of values you added.
Calculating the Median of a Data Set
To get this done, you have to arrange the values of your data set in numerical order, from the lowest to the highest. Identify the value that appears in the middle. The middle value is your median.
Calculating the Mode of a Population Distribution
This seems to be the simplest of all, whereby all you have to do is check for the most occurring variables. The most occurring value is the mode.
Calculating the Range
To calculate the range of population distribution, what you have to do is to subtract the lowest value in your data set from the greatest value, while ignoring other variables.
Learning Statistics for Data Analysis
Data science refers to the study of data in a scientific manner. It makes use of scientific analysis and processes, algorithms, and systems to get all the necessary information from a data set. To be a professional in data science, you must learn statistics for data analysis.
This involves your math skills, programming skills, statistical skills, ability to derive models, and machine learning. All these are important in getting meaningful information from your data variables.
What a data scientist does is to examine the statistical questions that need to be answered, and how they can find the data related to that question, and eventually the answers. As a data scientist, you must be good with statistical analysis because that's the basics of data science.
You must be able to gather your data, mine them, analyse them, and interpret the results you get. Statistics is a very important part of data science and learning statistics for data science is important if you're considering a career in that area.
The following are examples of statistical knowledge you can apply to data science:
This involves the conversion of data from one format to another format, making it easier for scientists and computers to use. When you have multiple machine learning models you are working with, you must be able to identify each model, transform them into machine language and understand the underlying assumptions behind them.
If you're going to be working as a data analyst, then you must be familiar with the statistical term 'Resampling'. Resampling is an aspect of modern statistics and machine learning, using sophisticated software like python to make it work.
It is a process that involves drawing samples from a data set repeatedly while refitting a specific model on each sample to get information. This is to ensure that your model can withstand data variations.
This deals with design and experiment analysis. Experimental design methods can be used in different fields such as medicine, zoology, agriculture, finance, research, business, and more.
Experimental design involves experimenting with a controlled condition and time interval. This is to establish the effect that an independent variable has a dependent variable.
This deals with the model of the relationship between two random variables by fitting them into a linear equation. It is also involved with more than one variable. Linear regression makes use of a plot to find the suitable line that best fits your data.
Getting Help With Learning Statistics
We all know how demanding a statistics course can be. However, if you're interested in this course, you should look up online resources like Superprof and find a private statistics tutor that can help you through learning easily.
Also, you can read related articles and blog posts online, watch Youtube videos or read books on the subject. All of these will help boost your learning morale.
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