MA6-WEEK26-GRAPHICAL-REPRESENTATIONS-OF-DATA

Graphical Representations of Data

Objectives

Start

Story

Frequency

Line Plot

Histogram

Box Plot

Summary

Story

Before getting started, let's see how plots are used to make decisions in financial stocks.

Frequency Tables

Now, let's delve into the concept of frequency

Frequency refers to how often something occurs within a dataset.

List all possible values and count how much of them are repeated.

ungrouped data

Divide range in intervals and count how many values are in each interval.

grouped data

Let's see some examples:

Example 1: Ungrouped Create a frequency table for data set: 8, 7, 9, 8, 7, 10, 9, 8, 7, 6, 10, 9, 8, 7, 8

Example 2: Grouped Create a frequency table for heights of plants (cm): 12.1, 13.4, 12.7, 14.3, 15.8, 13.6, 12.5, 14.2, 15.0, 13.9, 12.9, 13.3, 14.7, 15.3, 12.

Line Plot

In line plots, frequencies are represented by "x" marks over a number line.

Parts of line plot:

Let's see some examples:

Example 1: Ungrouped For the frequency table:

Example 2: Grouped For the height plants in (cm):

Data

Data

Line plot is:

Line plot is:

Try it by yourself:

Histogram

Histogram is a bar plot where x-axis has categories or intervals and y-axis has frequencies

Parts of an histogram:

Image credit:

Let's see some examples:

Example 1: Ungrouped For the frequency table:

Example 2: Grouped For the frequency table:

Data

Data

Histogram is:

Histogram is:

Box Plot

A box plot is a way to show how a set of data is spread out on a number line.

The parts of a box plot are as follows:

Image credit:

Try it by yourself:

Summary

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-GRAPHICAL-REPRESENTATIONS-OF-DATA-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

MATERIAL

It is highly advised to have:

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

Standard 1: Develop an understanding of statistics and determine measures of center and measures of variability. Summarize statistical distributions graphically and numerically. MA.6.DP.1.4 Given a histogram or line plot within a real-world context, qualitatively describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers and the range. MA.6.DP.1.5 Create box plots and histograms to represent sets of numerical data within real-world contexts. Standard 1: Apply previous understanding of the coordinate plane to solve problems. MA.6.GR.1.1 Extend previous understanding of the coordinate plane to plot rational number ordered pairs in all four quadrants and on both axes. Identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate. Standard 1: Extend previous understanding of numbers to define rational numbers. Plot,order and compare rational numbers. MA.6.NSO.1.2 Given a mathematical or real-world context, represent quantities that have opposite direction using rational numbers. Compare them on a number line and explain the meaning of zero within its context.

Frequency Table

Example: Number of books read by students in a month

List values and count how many books read each student (frequency):

Frequency Table

Example: Test scores of 15 students: 85, 90, 76, 88, 92, 85, 91, 87, 76, 88, 85, 90, 93, 78, 85.

List values and count how many of them are repeated: