The standard normal distribution (SND) is a special case of the normal distribution. When a normally distributed variable has a...

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The normal probability distribution, also called normal curve, is a special type of bell-shaped curve like the one you see...

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The continuous probability distribution is a table that shows the frequency and relative frequency of a continuous random variable. Recall...

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The mean of the sampling distribution of x̄ (also called mean of x̄) is the mean of all possible sample means....

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This lesson will show the difference between sampling and nonsampling errors. Using a sample in order to get information about...

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As stated in the previous lesson, the population mean is always constant. However, different samples of the same size drawn...

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The population distribution is the probability distribution using all elements of a population. Suppose there are 5 students in a...

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The Poisson probability distribution is named after the French mathematician Simeon D. Poisson. Suppose there is a power outage in...

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Here is a list of the types of averages used in statistics also called or measures of central tendency. We...

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Summation notation is used to denote the sum of values. Suppose you have a sample consisting of the ages of...

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Suppose we are selecting a few items from a large number of distinct items and you are trying to find...

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We define the factorial of a number as the multiplication of all integers from that number to 1. We use...

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The standard deviation of a discrete random variable is denoted by σ and the formula to use to compute it...

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The mean of a discrete random variable x is the average value that we would expect to get if the...

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The probability distribution of a discrete random variable shows all possible values a discrete random variable can have along with...

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Before giving a definition for discrete random variable, let us define random variable. A random variable is a variable that...

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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 the one for ungrouped data. Below,...

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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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