Side by Side Stem and Leaf Plots

The Organic Chemistry Tutor
12 Jan 201905:36
EducationalLearning
32 Likes 10 Comments

TLDRThe video demonstrates how to create a side-by-side stem-and-leaf plot to visually compare two datasets, using the example of ages of males and females. It explains the structure of plotting the stem values in the middle column and the leaf values in the side columns, ordered from least to greatest. It provides a step-by-step walkthrough of populating the plot for the age data and then applies the concept to another example of comparing heights of boys and girls in a class. The video aims to teach the technique of making side-by-side stem-and-leaf plots to compare two datasets in a visualized format.

Takeaways
  • 😀 The script explains how to create a side-by-side stem and leaf plot showing the ages of males and females
  • 📊 A stem and leaf plot is made up of a stem column and leaf columns; the stem contains the first digit and leaves contain second digits
  • 📈 The leaves are written in ascending order, with older ages towards the bottom
  • 👫 The example creates leaves showing ages of males on the right and females on the left
  • ↔️ To read a side-by-side plot, you read from right to left instead of the usual left to right
  • ✏️ The step-by-step example shows writing stems and leaves for the male and female ages
  • 📉 The second example creates a plot for boys' and girls' heights in inches
  • 📊 Again there is a stem column and leaf columns for boys and girls
  • 🔢 Heights are written in ascending order within each leaf column
  • 📈 The video explains this is how to create side-by-side stem and leaf plots
Q & A

  • What type of plot are we creating in this video?

    -A side-by-side stem-and-leaf plot showing the ages of males on one side and females on the other side.

  • What do the numbers in the stem column represent?

    -The stem column contains the first digit of the ages, serving as the stems of the plot.

  • Why do we have to read the plot from right to left?

    -Because the ages are split into two columns - males on the right and females on the left. So you read the stem on the right side first to match with the correct leaf.

  • What was the age range for the males?

    -The males' ages ranged from 19 to 63.

  • What was the age range for the females?

    -The females' ages ranged from 18 to 65.

  • How many males were aged in their 30s?

    -There were 3 males aged 35 and 36, for a total of 3 males in their 30s.

  • How many data values are there total for both genders?

    -There are 13 data values for the males and 12 data values for the females, for a total of 25 data values.

  • What do the numbers in the leaf columns represent?

    -The leaf columns contain the second digit of each age data value.

  • What was the next example about?

    -The next example showed the heights in inches of girls and boys in a typical class.

  • What was the range of heights for the girls?

    -The girls' heights ranged from 39 inches to 60 inches.

Outlines
00:00
📊 Creating a Side-by-Side Stem-and-Leaf Plot

This paragraph explains how to create a side-by-side stem-and-leaf plot showing the ages of males and females. It steps through writing the male ages in ascending order into the stem and leaf structure, then does the same for the female ages on the left side. It emphasizes reading from right to left across the structure.

05:03
📈 Practicing with Another Stem-and-Leaf Example

This paragraph provides more practice creating a side-by-side stem-and-leaf plot, this time showing the heights of girls and boys in a class. It steps through writing the girl heights in ascending order into the left leaf side, then the boy heights into the right leaf side. It notes the heights are measured in inches.

Mindmap
Keywords
💡stem and leaf plot
A stem and leaf plot is a graphical method of displaying numerical data to visualize the shape and distribution of the data. In the video, stem and leaf plots are constructed to display the ages and heights of males and females in separate categories to allow for visual comparison between the groups. This is a core concept in the video as constructing these plots is the main instructional focus.
💡ascending order
Ascending order means organizing numbers from lowest to highest value. In the video, when constructing the stem and leaf plots, the speaker instructs to write the leaf digits for each stem in ascending order to properly visualize the distribution.
💡stem
The stem in a stem and leaf plot contains the most significant digit(s) of each data value and helps organize the values into place. The video instructs viewers to write the stems as the middle column when constructing side-by-side stem and leaf plots.
💡leaf
The leaf in a stem and leaf plot contains the least significant digit(s) of each data value. The video shows the leaf digits written out to the left and right side of the stem column when constructing comparative side-by-side plots.
💡distribution
The distribution refers to how numerical data values are spread out. Stem and leaf plots allow viewers to visualize the shape of the distribution. The video constructs plots for age and height data to compare distributions.
💡visualization
Visualization means representing information graphically to see patterns. The entire focus of the video is on using stem and leaf plots to visualize the distribution of age and height data across males and females.
💡comparison
Comparison means detecting similarities and differences between groups or categories. The video creates side-by-side stem and leaf plots to explicitly compare the age and height distributions between males and females.
💡shape
The shape refers to the overall form or structure of the data distribution. Stem and leaf plots visualize the shape through the pattern of leaf digits across stems, as constructed in the video examples.
💡instruction
Instruction refers to teaching or giving guidelines and directions. The speaker provides clear step-by-step instructions for constructing comparative stem and leaf plots to teach this graphical visualization method.
💡practice
Practice means applying learned concepts to improve understanding and skills. At the end, the speaker has viewers practice constructing another set of stem and leaf plots for height data to practice the instructed method.
Highlights

We're making a side by side stem and leaf plot for ages of males and females

The stem column is in the middle, the leaf columns for males and females are on the left and right sides

For males, the stems are the first digits of ages and leaves are second digits

For females, stems are first digits and leaves are second digits written in descending order

Stem and leaf plots allow you to visualize the distribution and frequency of values

You read a side by side stem and leaf plot right to left, opposite of normal

Let's practice with heights of girls and boys in a class for another example

For girls, stems are the 10s digit, leaves are 1s digit written in ascending order

For boys, same format - stems are 10s digit, leaves are 1s digit in order

Stem and leaf plots organize data and show the shape and spread of distributions

They allow easy comparisons between different data sets

The vertical lines separate out stem values, helping visualize clusters

Leaves show the granular values, displaying frequency within stems

Side by side plots enable direct comparison of two data sets

An engaging and useful way to organize, visualize and compare data

Transcripts

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