Fundamentals of Data and Geometry

📋 Course Outline

1. Stem and leaf plots
2. Histograms and data displays
3. Measures of center
4. Measures of spread and box plots
5. Probability representations
6. Probability calculations
7. Indices and square numbers
8. Pythagoras theorem
9. Angles and polygons
10. Similarity and trigonometry

📖 1. Stem and leaf plots

🔑 Key Concepts & Definitions

• Stem and leaf plot : A stem and leaf plot is a chart that splits each value into a stem and a leaf to show ordered data.
• Stem : The stem is the part of each value used to group numbers that share the same leading digits.
• Leaf : The leaf is the remaining digit(s) written on the same row to represent each data value.
• Ordered leaves : Ordered leaves are written in increasing order within each stem row so the plot can be read quickly.

📝 Essential Points

• To find the data value, combine the stem and the leaf in the same row using place value.
• Leaves are usually kept in ascending order so the plot reads left to right by size.
• If a value like 37 is shown with stem 3, the leaf records the 7 on that row.
• A stem can repeat across rows if the data need more than one row per stem value.

💡 Memory Hook

Stem holds the tens, leaf holds the units.

📖 2. Histograms and data displays

🔑 Key Concepts & Definitions