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ELM: CSU Math Study Guide16 chapters | 140 lessons

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Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Watch this video lesson to find out the difference between saying you have seven apples and saying that those apples are delicious. You will learn about quantitative data and why it is useful.

What's the difference between having seven apples and saying that they are delicious? Well, for one, we can count or measure the seven apples, but we can't put a number to how delicious they are. Those apples might be delicious to one person and be completely sour to another person.

What does this have to do with quantitative data? It has everything to do with quantitative data because it shows you what is considered quantitative data and what is not. Saying you have seven apples, because they can be represented numerically, is a piece of **quantitative data**. But, saying that they are delicious is not because you can't write that using numbers.

There are two types of data that quantitative data covers. They are data that can be counted and data that can be measured. Let's talk about what each data type looks like.

Another way of saying that the data can be counted is to call it **discrete** data. Having the seven apples, for example, is discrete data because you can count seven apples. If you were to count the number of apples each tree produced in an apple orchard, that data is quantitative since the apples can be counted.

Other examples of discrete data include the number of girls in a math class, the number of boys who come to eat ice cream at three pm, and the number of kittens that a particular mom cat has. All of these are discrete and quantitative data because they can be represented by a mathematical number, and you can physically count them.

Quantitative data is also data that you can measure. In math lingo, this is called **continuous** data. The weight of seven apples is continuous data because you can put the apples on a scale and weigh or measure them.

Other examples of continuous data include the height of your mom, the length of a football field, and the weight of a wolf. All of these are continuous data because you can measure them and represent them in a numerical manner.

All this information is very useful. What can you do with all this quantitative data? You can turn a collection of quantitative data into a report. By counting the apples of each apple tree in an orchard, you will be able to pinpoint any problems the orchard has. If some trees are not producing, you can locate them and find out why. If all the trees are producing very little, you can start to figure out what the orchard is doing wrong. And, if all the trees are producing a lot, you can find out what the orchard is doing right. Without quantitative data, you wouldn't know any of this.

Quantitative data helps you to gather information in a way that can be represented mathematically and can usually be graphed so you can see the data in a visual way. For example, by collecting data on the number of dogs each household has in various countries, you would be able to compare the countries to see which country favors dogs more than others. This data can be graphed, and you can use this data to help you decide where best to begin a business focused on dogs.

**Quantitative data**is numerical data. It includes data that is**discrete**(can be counted) and data that is**continuous**(can be measured).- Examples of discrete data include anything that can be counted, such as the number of girls in a class, the number of apples in a fruit basket, and the number of boys who eat ice cream every day.
- Examples of continuous data include anything that can be measured, such as the height of your mom, the length of a football field, and the weight of a wolf.
- Quantitative data is useful because a collection of it allows you to make educated guesses based on patterns that are observed. For instance, if you take quantitative data on the number of dogs each household has in various countries, you can use that data to find the best country in which to start a dog-related business.

Upon completing this lesson, you should be able to:

- Define quantitative data
- Know that data can be counted and measured
- Provide examples of discrete data and continuous data
- Demonstrate ways in which quantitative data can be used

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ELM: CSU Math Study Guide16 chapters | 140 lessons

- Statistical Analysis with Categorical Data 5:20
- Understanding Bar Graphs and Pie Charts 9:36
- Summarizing Categorical Data using Tables 4:57
- How to Calculate Percent Increase with Relative & Cumulative Frequency Tables 5:47
- What is a Two-Way Table? 3:40
- Make Estimates and Predictions from Categorical Data 3:13
- What is Quantitative Data? - Definition & Examples 4:11
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- How to Calculate Mean, Median, Mode & Range 8:30
- Describing the Relationship between Two Quantitative Variables 4:44
- Reading and Interpreting Line Graphs 6:09
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