5.01 Representing Data

Vocabulary

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

Data – thethat give information about a given topic. The study ofis known as .

Statistical Process – a way to , ,anddata.

The Statistical Process

Step

Process

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2

3

4

Vocabulary and the Statistical Process

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Examples of Statistical Questions:

Types of Data

Categorical Data – falls into separateor .

Quantitative Data – observations are recorded asor .

2 Types of Quantitative Data:

Continuous Data – fall into a range of .

Discrete Data – measurements areand fall into .

Types of Data

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Examples of Categorical Data:

Examples of Quantitative Data:

Representing Data: Dot Plots

The number ofover atells how many times that number occurs in the data.

Steps to Create a Dot Plot:

Draw aline using an appropriate range (or category).

Place aover the data value for eachin the data set.

the horizontal line, andthe 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

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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 intosections called . Each quartile hasof 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

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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

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