WEEK 26-REPRESENTATION-OF-STATISTICAL-DATA

Representation of Statistical Data

Objectives

Start

Story

Categorical Data

Numerical Data

Bivariate Data

Practice

Summary

Story

Categorical Data

Coffee Preferences at School

31 students were surveyed by their coffee preferences obtaining the results:

Capuccino

Expresso

Black

Latte

10

15

How to represent the results?

Table Format: Frequency Tables

Let's see how to organize the data into a frequency table:

Visualization: Bar Charts

Visualization: Pie Charts

Numerical Data

Test Scores at Math (/100)

Grades of 20 students who took the math test were collected:

84, 78, 81, 82, 76, 85, 95, 86, 87, 93, 88, 90, 89, 90, 88, 91, 92, 88, 94, 85

How to represent the results?

Table Format: Frequency Tables

Let's construct a table by clasifying data into intervals.

But, first, we are going to create the intervals:

76, 78, 81, 82, 84, 85, 85, 86, 87, 88, 88, 88, 89, 90, 90, 91, 92, 93, 94, 95

Table Format: Frequency Tables

Visualization: The Histogram

Visualization: The Box Plot

Another way to represent the data set is using a box plot.

Bivariate Data

Study Hours vs Test Scores at Math

Now, another research focused on the effect of study hours to the score obtained in math tests.

Do you think test score is affected by the study hours?

How would you support your conclusion?

Visualization: Scatter plot

Bivariate data is represented using scatter plots (plots of points).

Practice

Try it by yourself:

You want to see the strenght of the most relevant currencies around the world.

a) Select the columns B and C. Go to On the right menu go to: Scroll to see a: Move the chart if necessary.

Insert> Chart

Setup

Bar chart

Try it by yourself:

Now you're going to see is social media hours is associated with GPA.

b)Click on sheet2 and select columns A and B. Go to You will see a scatter plot. Move the chart if necessary.

Insert> Chart

Try it by yourself:

Try it by yourself:

Summary: Representation of Data

Categorical

numerical

UNivariate

bivariate

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-INTRODUCTIONTORATIONALNUMBERS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

MA.912.DP.1 Summarize, represent and interpret categorical and numerical data with one and two variables. MA.912.DP.1.1 Given a set of data, select an appropriate method to represent the data, depending on whether it is numerical or categorical data and on whether it is univariate or bivariate. MA.912.DP.1.2 Interpret data distributions represented in various ways. State whether the data is numerical or categorical, whether it is univariate or bivariate and interpret the different components and quantities in the display. ELD.K12.ELL.MA.1 English language learners communicate information, ideas and concepts necessary for academic success in the content area of Mathematics. MA.K12.MTR.7: Apply mathematics to real-world contexts. MA.K12.MTR.7.1 Apply mathematics to real-world contexts.

MATERIAL

It is highly advised to have:

• Grid paper.
• Pencils of different colors.
• Eraser.
• A rule.
• A calculator.
• Geogebra installed on your phone/tablet/computer (or use online version).