7 Statistical Analysis Methods Beginners Should Know

Key takeaways

Statistical analysis methods help turn raw data into insights that support decisions across industries and roles.

• Employment for statisticians is projected to grow 8 percent from 2024 to 2034 [1].

• Descriptive and inferential approaches form the foundation of statistical methods for data analysis, from summarizing trends to testing hypotheses and building models.

• You can prepare for roles, such as data analyst, statistician, or market researcher, by building familiarity with statistical analysis methods.

Learn how statistical analysis methods work, how they differ from data analysis, and where they appear in real-world careers. If you're ready to build foundational analytics skills, enroll in the Google Data Analytics Professional Certificate. You'll explore data presentation, sampling, data structures, and more. In as little as six months, you can earn a shareable certificate to demonstrate your new skills.

Statistical analysis vs. data analysis

Statistical and data analysis do similar things and often work together to discover similar outcomes, such as behavior predictions. The main difference is the discipline's tactics to find patterns and predictions. Let’s examine some differences between statistical analysis and data analysis:

Descriptive statistical methods for data analysis

Descriptive statistical analysis describes aspects of a set of data. These quantitative statistical methods show representations of what a set of data represents. Graphs and charts help visualize the findings of these methods. Some important beginner descriptive statistical analysis methods to know are:

• Central tendency (mean, median, mode)

• Variance

• Standard deviation

Let’s take a closer look at each method and its application.

Mean

The mean is a central tendency that calculates the average value in a data set. The formula is the sum of all data points divided by the number of data points in the set. For example, if you want to find the average grade from this series of tests: 89, 99, 100, 75, 86, 95, 86, 73, and 86, you would start by adding them together, getting the sum of the series, which is 789. Then, divide that by the number of data points (nine), which equals 87.67 (the mean or average test score). 

Median

The median is another central tendency that finds the data set’s middle value. To find the median, order the data from the lowest to the highest value. Using the test scores from above, the data set should look as follows: 73, 75, 86, 86, 86, 89, 95, 99, 100. Since this data set contains odd numbers, the median becomes 86. 

However, if it had one more number, it might look as follows: 73, 75, 86, 86, 86, 88, 89, 95, 99, and 100. Then, you would calculate the mean value of the two middle numbers. In this example, you would add 86 and 88, which sum to 174. Divide that by the two numbers and arrive at the new median of 87. In this case, the mean and median are similar. However, the median is sometimes a more accurate indicator of the average if the mean contains large outliers that skew the average.

Mode

The mode is the last central tendency of a data set and is simply the data set’s most common number. With our original data set, put in order 73, 75, 86, 86, 86, 89, 95, 99, and 100, the mode reveals itself as 86, the most frequently repeated number in the data set. Mode is a valuable method for finding data patterns when predicting a common occurrence. In this case, while the median is also 86, the mode indicates there could be something about the test that makes 86 a common score.

Standard deviation

The standard deviation is a test of variability you use to measure the average distance data points vary from the mean. This method explains how far data points spread out from the mean value. Low values indicate a closeness to the mean, while high values indicate the values are more spread out. Standard deviation uses this formula:

s = √ ( Σ (x - x̄ )² / n -1 )

Here are the steps to find the standard deviation using the data set from above: 73, 75, 86, 86, 86, 89, 95, 99, 100:

1. Find the mean of the data set. In this example, it would be 87.6667.

2. Subtract the value of each data point from the mean to find the deviation, then square each value. 

3. Sum the squared deviations. In this case, it is 720. 

4. Using the formula, you get √720/8 = 9.49

Using this calculation, 9.49 is the standard deviation from the mean. 

Learn more: What Is Data Visualization? Definition, Tools & Examples

Inferential statistical methods for data analysis

Inferential statistical analysis methods work to draw general conclusions and make predictions about populations through smaller data sets. These methods examine the quality of samples and descriptive statistical findings to ensure their inferences to the larger population are valid. Many methods test the quality of the results. Some of these essential inferential methods include:

• Hypothesis testing

• Confidence intervals

• Regression analysis

Let’s take a closer look at each method and its application.

Hypothesis testing

In hypothesis testing, you formulate two hypotheses to discover which statement about a data sample is valid. These two hypotheses are:

• Null hypothesis: The hypothesis you are testing, symbolized as H0

• Alternative hypothesis: An alternative hypothesis to the null that becomes true if the null hypothesis proves false, symbolized as H1

A typical test to reject the null hypothesis, which is assumed correct until you reject it, is analyzing a p-value. You can reject the null hypothesis if the p-value is less than or equal to the chosen significance level. The smaller the p-value, the more the evidence supports the alternative hypothesis.

Using the data on test scores above, let’s calculate a p-value with a significance value of .05 to perform a hypothesis test. This example is for the more common two-tailed p-value. Let’s say you think the mean of the test scores is 90 instead of 87.67. 

1. Make your null and alternative hypotheses known.

μ = hypothesis mean

The two hypotheses for this problem become:

H0: μ = 90

H1: μ ≠ 90

2. After you state the hypothesis, use a t-test to calculate the value of the test concerning the data set.

The formula for “t” is t = x-μs÷n

x = 87.67 = data set mean 

μ = 90 = hypothesis mean

s = 9.49 = standard deviation

n = 9 = the size of the data set

Plug in your numbers from the sample problem and calculate the t. Once calculated, use the absolute value of t to keep the number positive: |t| = 0.7366. 

3. Once you have your t-value, consult a t-table to find a p-value. 

In this case, the p-value = 0.482425. Because this value is greater than the significance value of 0.05, you would not reject the null hypothesis H0: μ = 90 because you lack sufficient evidence.

Confidence interval

This test determines how accurate a mean is from data set to data set. In the example of test scores above, the confidence interval determines a degree of confidence that the mean of the test scores will fall into a specific percentage of the time. The confidence interval is the sample mean margin of error. 

In the test score example, you want a confidence interval = 95 percent. 

1. Calculate the margin of error.

The formula for the margin of error is ME = z*sn

In the margin of error formula, z* represents a level of confidence corresponding to the confidence table. For a 95 percent level of confidence, z* = 1.96

Using the standard deviation above 9.49 and the number of data points 9, the ME = 6.2

2. Calculate the confidence interval using the margin of error

Use the sample mean of 87.67 calculated earlier. 

C = 87.67±6.2, or from 81.47 to 93.87. 

With 95 percent confidence, you can say that the mean of the test scores in a different class falls between 81.47 and 93.87.

Regression analysis

Simple regression analysis uses a line of best fit drawn through a graph of data points, showing how many data points the line hits. This is the regression line. A regression analysis gives you the slope of the line, the correlation, and how well the line fits the data based on variation. Simple linear regression uses two variables, while multiple regressions use three or more variables. 

Simple regression analysis primarily aims to find the relationship between the dependent and independent variables. The formula for regression analysis is Y = a + b(x). In the formula:

• Y = the independent variable

• x = the dependent variable

• a = the y-intercept

• b = the slope of the graph

What jobs use statistical analysis methods?

The government, marketing, business, and engineering industries rely on statistical analysis methods. Additionally, you can get jobs in data analytics with a background in statistics as well. Many jobs require a master’s degree, but some entry-level positions accept a bachelor’s degree if your math background is strong enough. The US Bureau of Labor Statistics projects the current job outlook from 2024 to 2034 for statisticians to grow 8 percent [1].

To get an idea of the types of roles you might pursue, consult the following list of statistics jobs and their average annual base salaries:

• Statistician: $109,000 

• Statistical analyst: $121,000

• Data analyst: $93,000

• Business analyst: $106,000

• Financial analyst: $107,000

• Market researcher: $72,000

• Actuarial analyst: $145,000

• Investment analyst: $148,000

• Data scientist: $154,000

All salary information represents the median total pay from Glassdoor as of January 2026. These figures include base salary and additional pay, which may represent profit-sharing, commissions, bonuses, or other compensation.

Stay in the loop on career trends and tips

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• Watch on YouTube: Basic Statistical Functions in R | Complete Tutorial

• Hear from a learner: Meet the Statistics Teacher Who's Going Back to School for Data Science

• Bookmark this page: Data Analysis Terms & Definitions

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