# Mode median and the mean measures of central tendency

Use the ranges and standard deviations of the sets to examine the variability of data. Calculating Mean The mean identifies the average value of the set of numbers. For example, consider the data set containing the values 20, 24, 25, 36, 25, 22, ## Measuring center in quantitative data

Mean Median Mode Video transcript We will now begin our journey into the world of statistics, which is really a way to understand or get our head around data. So statistics is all about data.

And as we begin our journey into the world of statistics, we will be doing a lot of what we can call descriptive statistics. So if we have a bunch of data, and if we want to tell something about all of that data without giving them all of the data, can we somehow describe it with a smaller set of numbers?

So that's what we're going to focus on.

## How do I interpret data in SPSS for central tendency and dispersion?

And then once we build our toolkit on the descriptive statistics, then we can start to make inferences about that data, start to make conclusions, start to make judgments. And we'll start to do a lot of inferential statistics, make inferences.

So with that out of the way, let's think about how we can describe data. So let's say we have a set of numbers. We can consider this to be data. Maybe we're measuring the heights of our plants in our garden.

And let's say we have six plants. And the heights are 4 inches, 3 inches, 1 inch, 6 inches, and another one's 1 inch, and another one is 7 inches. And let's say someone just said-- in another room, not looking at your plants, just said, well, you know, how tall are your plants?

And they only want to hear one number. They want to somehow have one number that represents all of these different heights of plants. How would you do that? Well, you'd say, well, how can I find something that-- maybe I want a typical number.

Maybe I want some number that somehow represents the middle.

## Statistical Language - Measures of Central Tendency

Maybe I want the most frequent number. Maybe I want the number that somehow represents the center of all of these numbers. And if you said any of those things, you would actually have done the same things that the people who first came up with descriptive statistics said. They said, well, how can we do it?

And we'll start by thinking of the idea of average. And in every day terminology, average has a very particular meaning, as we'll see. When many people talk about average, they're talking about the arithmetic mean, which we'll see shortly.

But in statistics, average means something more general. It really means give me a typical, or give me a middle number, or-- and these are or's. And really it's an attempt to find a measure of central tendency.

So once again, you have a bunch of numbers. You're somehow trying to represent these with one number we'll call the average, that's somehow typical, or middle, or the center somehow of these numbers. And as we'll see, there's many types of averages. The first is the one that you're probably most familiar with. It's the one-- and people talk about hey, the average on this exam or the average height. And that's the arithmetic mean. Just let me write it in.

I'll write in yellow, arithmetic mean. When arithmetic is a noun, we call it arithmetic.Simplify comparisons of sets of number, especially large sets of number, by calculating the center values using mean, mode and median. Use the ranges and standard deviations of the sets to examine the variability of data.

Central Tendency. The term central tendency refers to the "middle" value or perhaps a typical value of the data, and is measured using the mean, median, or attheheels.com of these measures is calculated differently, and the one that is best to use depends upon the situation.

Mean. The mean is the most commonly-used measure of central tendency. Mean, median and mode are numbers that represent a whole set of data or information. Mean, median and mode are together called the measures of central tendency.

In the previous section we saw that there are several ways to define central tendency. This section defines the three most common measures of central tendency: the mean, the median, and the mode.

The relationships among these measures of central tendency and . The most common measures of central tendency are the arithmetic mean, the median and the mode. A central tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the normal distribution.

Central Tendency. The term central tendency refers to the "middle" value or perhaps a typical value of the data, and is measured using the mean, median, or attheheels.com of these measures is calculated differently, and the one that is best to use depends upon the situation.

Mean. The mean is the most commonly-used measure of central tendency.

WRKDEV - Measures of Central Tendency: Mean, Median, and Mode