Using the addition rule for probability, we will show you how to find the probability of the union of two...

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When you get the probability of the intersection of two events, we call this probability joint probability. Let A and...

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In this lesson, you will learn to compute the probability of complementary events. What are complementary events though? Let A...

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In this lesson, we will do the following using a table that shows test results for 200 students who took a...

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Just like the Chebyshev's theorem, the empirical rule can also be used to find the percentage of the total observations that fall...

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Chebyshev's theorem will show you how to use the mean and the standard deviation to find the percentage of the...

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Mutually exclusive events are events that cannot occur together. In other words these events do not have any common outcomes....

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To find the conditional probability, we will use the contingency table that we used in the lesson about marginal probability...

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To explain what marginal probability is, we need a contingency table. A contingency table is a table in which we...

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What is probability? How to calculate probability? We will answer these questions here along with some useful properties of probability....

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Before we show you the difference between simple and compound events, we will start with a definition of event. Event...

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A sample space diagram is a diagram used to describe a sample space. But what is a sample space? A...

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The formula for variance and standard deviation for grouped data is very similar to one for ungrouped data. Below, we...

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The difference between parameter and statistic is simple. The mean, median, mode, range, variance, or standard deviation, or any other...

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The standard deviation (SD) tells how far the values of a data set are from the mean. If the standard...

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Measures of dispersion, also called measures of variation, are measures that help us to know about the spread or variation...

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You can find the mean from a frequency table when you don't know the exact values in the classes. Suppose...

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The relationship between the mean, median, and mode is shown with these 3 histograms. Symmetric histogram ...

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What is the best measure of center? There is no single best answer to this question. The table below shows...

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The midrange of a data set is the value between the biggest value and the lowest value. To find the...

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The mode of a data set is the value that occurs most frequently. In other words, you are looking for...

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The median of a set of data is the middle value after the data set has been ranked either in...

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The arithmetic mean, also called mean or average, is the most frequently used measure of central tendency in statistics. You...

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A stem-and-leaf display can also be used to organize only quantitative data. What do we mean though by stem and...

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What is the cumulative frequency distribution? We find the cumulative frequency distribution for a class by adding the frequency of...

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The less than method for writing classes is used for data sets that contain fractional values or continuous variables such...

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A histogram may have a variety of shapes. However, the 3 most common of these shapes of histograms are skewed,...

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Quantitative data, also called grouped data, can be displayed using a histogram or a polygon. How to graph quantitative data...

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Using the procedure in this lesson, and the quantitative raw data you see below, you will learn how to construct...

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Follow the procedure given below to construct a frequency distribution table for a set of quantitative data. ...

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In the lesson about raw data, we have the following table for the number of smartphones owned per family. ...

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Two types of graphs that can be used to display qualitative data are the bar graph and the pie chart....

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To find the relative frequency of a category, divide the frequency of that category by the sum of all frequencies....

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A frequency distribution, also called frequency table, can be used to organize qualitative and quantitative raw data. A table is...

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A time-series data shows information about the same subject or element of a sample or population for different periods of time. The information...

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A cross-section data shows information about different subjects or elements of a sample or population during the same period of...

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Variables can either be quantitative or qualitative. Some common variables used in statistics are explained here. Quantitative variables Any variables...

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This lesson will explain the meaning of some other important basic terms in statistics. Note that the table below does...

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