unit 2 displaying and comoaring quantitative data

In what different ways can data be presented?

Tables, bar graphs, histograms, and frequency plots

Why are the different visualization methods useful?

They provide different perspectives of the same information, helping to answer various questions about the data

Range

The spread between the highest point and the lowest point; the difference between the maximum number and the minimum number(subtraction)

Frequency tables

Show how often each value appears, while dots provide a visual depiction of this information

Histogram

A graphical display of data using bars of different heights; displays the shape and spread of continuous sample data

What are the bars in a histogram for?

Each bar groups numbers into ranges; taller bars show that more data falls into that range

First step of making a histogram

Collect your data and decide on the number and size of bins(categories) you want to divide your data into

Second step of making a histogram

Count the number of data points that fall between each bin

Third step of creating a histogram

Draw a graph with the bins as the x-axis and the frequency counts as the y-axis

Final step of creating a histogram

Draw vertical bars to represent the frequency count for each bin

What is the most used way of representing data?

The histogram

What should you avoid when making a histogram?

You may have numbers that vary widely, so you don’t want to make a bar for every individual number

What size should a histogram's bins be?

Equal width

Other names for bins

Intervals, buckets, or classes

Rule for amount of bins

There is no strict rule, just avoid creating too many or too few

Stem and leaf plots

Divides data into two parts: a stem and a leaf

How do you make a stem and leaf plot?

The right side will contain the ones or the right-most digits and the left side will contain the tens digits

If the stem is 2, what does that tell you about the corresponding data point?

The data point is in the 20s