How to Solve Statistics Problems Accurately

how to solve statistics problems

Several students are struggling with the problem of mathematics numeric problems. A study shows that almost 30% of students are unable to solve quantitative problems. 

Therefore, in this blog, you will find effective solutions for how to solve statistics problems. Here you will find various advanced quantitative data analysis courses. 

Because of the various uses of these statistics problems in everyone’s daily lives, students still lack solving these kinds of problems. That is why it becomes necessary to understand the methods to tackle the problem of statistics. 

So, let’s check all the necessary techniques to solve quantitative data problems.

What is statistics? 

It is one of the branches of mathematics statistics that involves collecting, examining, presenting, and representing data. 

Once the information is accumulated, reviewed, and described as charts, one may see for drifts and attempt to execute forecasts depending on certain factors.

Now, you have understood the meaning of statistics. So, it is the right time to get familiar with the steps used for how to solve statistics problems. 

Here, you will find out these techniques with a suitable example. This will help you to know how these techniques are implemented to solve quantitative statistics problems. 

But before moving to the strategies, let’s check whether you have effective knowledge of statistics or not. This will also help you to check whether your concepts about the statistics problem are cleared or not. 

Once you know that you have an effective understanding of statistics, you can easily solve the statistics problems.

Take a test of your statistics knowledge !!!

Give the answers to questions mentioned below:

  1. How long do seniors spend clipping their nails?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Statistical
  1. How many days are in Feb?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Non statistical
  1. Did Rose watch TV last night?
  • Not statistical
  • Statistical
  • None of both
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Correct Answer: Non statistical
  1. How many cyberspace searches do citizens have at a Retirement each day?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Statistical
  1. How long is the rapunzel’s hair?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Non statistical
  1. The average height of a giraffe?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Statistical
  1. How many nails does Alan have in his hand?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Non statistical
  1. How old is my favourite teacher?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Non statistical
  1. What does my favorite basketball team weigh?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Statistical
  1. Does Morris have a university degree?
  • Not statistical
  • Statistical
  • None of both
Correct Answer: Non statistical

Now, you have tested your knowledge so we can move to the strategies to solve a statistical problem.

Strategies for how to solve statistics problems

Let’s take a statistical problem and understand the strategies to solve it. The below strategies are based on the random sample problem and solve it sequentially.

This sample statistical problem is: 11,11, 6, 9, 14, -3, 0, 7, 22, -5 , -4, 13, 13, 9, 4 , 6, 11 

#1: Relax and check out the given statistics problem

When students assign the statistics problems, you have noticed that they get panicked. Due to panic, there are higher chances of making errors while solving statistics distributions. 

This might be because students think that they can solve these queries, leading to low confidence. That is why it becomes necessary to calm yourself before you start to solve any statistics problem. 

Here is an example that helps you to understand the statistics problem easily.  

Almost 17 boys were diagnosed with a specific disease that leads to weight change. 

Here the data after family therapy was as follows:

11,11, 6, 9, 14, -3, 0, 7, 22, -5 , -4, 13, 13, 9, 4 , 6, 11

#2: Analyze the statistics problem

Once you assign the statistics problem, now analyze the query to solve it accurately. 

Check what does it ask you to perform in the problem? It would help if one obtained the upper confidence limit that can utilize the mean: the degrees of freedom and the t-value.

Here is the question: what is the meaning of the degrees of freedom to a t-test?

Take a sample question: If there are n number of observations. It would help if you estimated the mean value. This will leave the n-1 degree of freedom that is utilized for estimated variability.

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For the above problem, we can estimate the average along with the sample value 17-1 that is equal to 16.

To recognize the difficulty, study the numbers one can DO have.

  • One should have a lower confidence limit.
  • Get all of the specific scores.
  • You need to understand the number of scores (17).

Consider the things about what one can DO remember (or may view within a textbook).

  • The mean score of the number is the addition of the scores divided with the total score number.
  • To get the lower confidence limit, one needs to do minus (t * standard error).
  • An UPPER confidence limit is the collected average + (t * standard error).

#3: Choose the strategy for how to solve statistics problems

There are several methods to get the upper confidence limit; besides this, all this includes the calculating value (t*standard error) to get the mean. There are the easiest approach is

  • Determine what the mean does.
  • Check the difference in the mean and the limit of lower confidence.
  • Sum the number to the mean.

These are steps where most people get puzzled. This might be because of the three main reasons. 

  • The first one is that students are stressed out because of indulging in various academic studies. 
  • Secondly, learners do not have enough time to check the statistics problems and recognize what to do first. 
  • Thirdly, they do not rest a single minute and study the right approach. 

We think that several students do not pay sufficient time on the initial three levels before skipping to the fourth number.

#4: Perform it right now

Take out a strategy.

  • The mean will be 7.29.
  • 7.29 -3.6 = 3.69
  • Sum 3.69 to 7.29 to get 10.98

This is the correct answer.

#5: Verify the to know how to solve statistics problems

Do a certainty verification. The mean must be 7.29. If it does not lay in the category of lower and upper confidence limits, then there would be something wrong.

Check again tomorrow to get the verification of the number. These steps would be implemented to all statistics problems (and a math query – might be a puzzle in life.)

Let’s understand the above steps by solving a statistical problem!!

Problem: In a state, there are 52% of voters Democrats, and almost 48% are republicans. In another state, 47% of voters are Democrats, and 53% are Republicans. If the sample takes 100 voters, then what probability represents the maximum percentage of Democrats in another state.

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P1 = Republican voters proportion in the first state, 

P2 = Republican voters proportion in another state, 

p1 = Sample Republican voters proportion in the first state, 

p2 = Sample Republican voters proportion in another state, 

n1 = Number of voters in the first state, 

n2 = Number of voters in another state, 

Now, let’s solve it in four steps:

  • Remember that the sample size must be bigger to model difference for a normal population. Therefore, P1*n1 = 0.52*100 =52, (1-P1)*n1 = 0.48 *100 = 48.

On the other hand, P2*n2 = 0.47*100 =47, (1-P2)*n2 = 0.53*100 = 53, which is greater than 10. So we can say that sample size is much larger.

  • Calculate the mean of the sample proportions difference: E(p1 – p2) => P1 – P2 = 0.52 – 0.47 => 0.05.
  • Calculate the difference of standard deviation.

σd = sqrt{[ (1 – P2)*P2 / n2 ] + [ (1 – P1)*P1 / n1 ] }

σd = sqrt{[(0.53)*(0.47) / 100 ] + [ (0.48)*(0.52) / 100 ] }

σd = sqrt ( 0.002491 + 0.002496 ) = sqrt(0.004987) = 0.0706

  • Calculate the probability. The given problem needs to calculate the probability, which is p1 < p2. 

This is similar to determining the probability, which is (p1 – p2) < 0. To calculate the probability, you must transform the variable (p1 – p2) in the z-score. The transformation will be:

z (base (p1 – p2)) = (x – μ (base (p1 – p2) ) / σd = (0 – 0.05)/0.0706 => -0.7082

  • With the help of the Normal Distribution calculator of Stat Trek’s, you can calculate that the Z-scores probability that is being -0.7082 is 0.24.

That is why the probability shows a greater % of Republican voters within another/second state as compared to the first state, and it is 0.24.


To sum up this post, we can say that we have defined the possible strategies about how to solve statistics problems. Moreover, we have mentioned the procedure for solving the statistics queries that help students solve mathematics in their daily lives. 

Besides this, we have provided solutions with detailed examples. So that students can easily understand the techniques and implement them to solve statistics terms. 

Analyzing these examples can allow the students to know the sequence of solving a statistics question. Follow the steps mentioned above to get the desired result of the problems and verify them accordingly. Learn and practice the initial rule to solve each problem of quantitative analysis effectively. Get the best statistics homework help.

Frequently Asked Questions

What are the four steps to organize a statistical problem?

The Four-Step to organize the statistical problem:

STATE: The real-world or a practical problem.
FORMULATE: Which is the best formula to solve the problem?
SOLVE: Make relevant charts and graphs and practice the required calculations.
CONCLUDE: Take the summary to set the real-world problems.

What is a good statistical question?

A statistical problem can be solved by gathering useful data and checking where the variability is in the given data. For instance, there is variability in the collected data to solve the problem, “What does the animal weigh at Fancy Farm?” but not to solve, “What is the colour of Ana’s hat?”

What is the most important thing in statistics?

The three basic components of statistics are determination, measurement, and modification. Randomness is considered one way to supply development, and it is another way to model variations.

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