Joseph Mburu
Joseph is an experienced Statistician and Data Analyst with over six years of hands-on work in applied statistics, data science, and quantitative research. He holds advanced degrees in Applied Statistics and Data Analytics, reflecting strong technical and academic expertise. Joseph is the founder of Stat Study Hub, a platform designed to help students, researchers, and professionals understand statistics through clear explanations, interactive calculators, and practical examples. Known for a friendly, step-by-step teaching approach, he is committed to making statistics simple, accurate, and usable for everyone.
Latest Articles by Joseph Mburu
How to Find 5-Number Summary
December 4, 2025
A 5-number summary is a simple way to describe a dataset using 5-key statistics: the Minimum, First Quartile (Q1), Median (Q2), Third Quartile (Q3), and Maximum. Summarizing your data using the 5-number summary allows you to quickly assess how the data is spread. As a result, you can easily uncover hidden patterns, detect unusual values, […]
Read MoreDescriptive Statistics: Definition, Types, & Examples
December 3, 2025
Descriptive statistics are methods or techniques that are widely used to organize and summarize data in a clear and simple way. In data analysis, descriptive statistics serve as preliminary tests to help you organize, summarize, and uncover the main characteristics of the data. Simply stated, these statistics allow you to gain an overview of the […]
Read MoreHow to Find Sample Mean in Excel
November 27, 2025
The sample mean is the average of a subset of data points collected from a larger population. To calculate the sample mean, you sum all the values in the dataset and divide the results by the number of observations in the sample data. Thus, the sample mean formula is: x̄ = Σx/n Where: While it […]
Read MoreF Critical Value in Excel
November 22, 2025
After performing an F-test for ANOVA, equality of variance test, or a regression model, you obtain an F-test statistic. The next step involves finding an F-critical value to help you determine whether the results are statistically significant or not. There are various methods for finding F-critical values. The classical approach involves reading critical values from […]
Read MoreHow to Find T Critical Value in Excel
November 17, 2025
After calculating the t-test statistic, the next step is finding a t-critical value to help you decide whether or not to reject the null hypothesis. If the absolute t-statistic value is greater than the absolute t-critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis. Now, you might be asking, […]
Read MoreHow to Find T Critical Value (Using T-Distribution Tables)
November 15, 2025
The t-critical value is an essential part of statistics and hypothesis testing. It helps you decide whether your results are significant or just due to chance. Without the t-critical value, it is impossible to make accurate conclusions from small sample data. In this guide, you will learn what a t-critical value is, why it matters […]
Read MoreHow to Calculate Binomial Probability
November 12, 2025
Have you just been introduced to the binomial probability formula and are wondering how you can use it to calculate binomial probability? This article shows you how to apply the formula to find exact and cumulative binomial probabilities using examples. Recall: The binomial probability formula is P(X=x) = nCx · px (1 − p)n−x Where: Solving Binomial Probability […]
Read MoreMean of Binomial Distribution
November 5, 2025
The mean of the binomial distribution is also known as its expected value. It represents the average number of successes you would expect over many repetitions of a binomial experiment. To find the mean of a binomial distribution, you multiply the number of trials (n) by the probability of success in a single trial (p). […]
Read MoreZ Critical Value in Excel
November 4, 2025
After performing a z-test, the next step is deciding whether to reject the null hypothesis. This decision is based on the z critical value. If the absolute value of your z-test statistic exceeds the z critical value, you reject the null hypothesis. Otherwise, you fail to reject the null hypothesis. While you can find the […]
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