Glencoe Math: Course 3, Volume 1
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Exercise 2 Page 308

What is the main difference between continuous data and discrete data? Can you think of examples of these kinds of data?

See solution.

Practice makes perfect

We want to describe the difference between the graphs of the two types of data sets. Continuous Data vs Discrete Data Before we do that, let's focus on the main differences between these two types of data.

Continuous Data

Continuous data can take any value, so there are no spaces between the data values. Here are some examples.
Continuous Data
Amount of water used in a household
Stock price of a company
Weight of a watermelon

A watermelon can weigh 3 pounds, 9 pounds, or anything between these two values. This is why the weight of a watermelon is an example of continuous data. In general, continuous quantities are uncountable.

Discrete Data

Discrete data, on the other hand, has spaces between possible data values. Let's take a look at some real-life examples.

Discrete Data
Number of pans in a household
Number of times we have skied
Daily number of customers in a shop

We can have 3 or 4 pans at our home but we cannot have 3.5 pans. This is why the number of pans in a household is a type of discrete data. In general, discrete quantities are countable.

Graphs

As we said before, continuous data has no space between the data values. As a result, the graph of continuous data is a solid line.

The stock price

Discrete data has spaces between the data values. This is why the graph of discrete data is represented by points.

Daily number of customers

This means that we can tell if data is continuous or discrete by looking at its graph.