5.01 Representing Data Vocabulary

Statistics – a branch of math that views numbers as . It teaches how to use a variety of methods to , and these numbers to make informed decisions.

Data – the that give information about a given topic. The study of is known as .

Statistical Process – a way to , , and data.

The Statistical Process
Step
Process
1

2

3

4

Vocabulary and the Statistical Process
4:40

Examples of Statistical Questions:
Types of Data

Categorical Data – falls into separate or .

Quantitative Data – observations are recorded as or .
2 Types of Quantitative Data:
Continuous Data – fall into a range of .
Discrete Data – measurements are and fall into .
Types of Data
3:02

Examples of Categorical Data:

Examples of Quantitative Data:

Representing Data: Dot Plots

The number of over a tells how many times that number occurs in the data.

Steps to Create a Dot Plot:
Draw a line using an appropriate range (or category).
Place a over the data value for each in the data set.
the horizontal line, and the graph.

Creating a Dot Plot 4:31
Example: Create a dot plot that shows the test scores in Mrs. Smith’s math class.

Representing Data: Histograms

A visual that shows the frequency of intervals of data.

Steps to create a histogram:
the data values into appropriate bin intervals and determine the .
Draw and label a .
Draw and label a .
to a certain height based on the frequency of each bin.
your graph.

Creating Histograms
4:18
Example: A volunteer for the running club counted the number of participants at each race. Create a histogram using the data given.

Representing Data: Box Plots

A visual that divides a list of data into sections called . Each quartile has of the data points in it.

Steps to create a box plot:
Put the numbers in .
Determine the .
Find (also known as lower quartile)
Find (also known as upper quartile)
Draw the box plot and label with the .

Creating a Box Plot
4:41
Example:
Create five-number summary for the data set:
{14, 3, 2, 8, 6, 22, 15, 10, 16, 18}

Minimum:
Lower quartile (Q1):
Median:
Upper quartile (Q3):
Maximum:

Comparing Data Displays
Which graph best shows the median?

Which graph best shows the target age range?

Which graph best shows each individual data value?

Comparing Data Displays
1:57