1. Single Variable Statistics
Day 1: Statistics Unit Algebra 1

2. Examples of Single-Variable Data - One Attribute
10 students take a test and receive the following scores: 61, 72, 93,100, 88, 97, 75, 99, 83, 93
Weights of NFL football players: 210, 220, 207, 218, 187, 216, 247, 265, 236
The third example is the heights of 14 students in centimeters

3. Dot Plots
Each dot plot will appear and then dissapear with a click of the mouse or space key

4. Dot Plots Features Each dot represents a single observation
Dots are placed in columns based on categories
The heights of the dots in a column tell the relative frequency
Students have a handout to write the features in

5. Histograms
Please note on the first histogram that the histogram part is the red bar part. The line on the graph is called a normal curve and we will learn about that later.

6. Histogram Features Responses organized into groups call “bins”
The height of each bar represents frequency
bars touch each other

7. 5 Number Summary
The 5 number summary is a way to describe data with 5 numbers
First data point (Min)
First Quartile (25% of data) - Q1
Second Quartile or Median (50% of data) - Q2
Third Quartile (75% of data) - Q3
Fourth Quartile (100% of data) - Q4 (Max)

8. 5 number summary: Practice
Data: 77, 86, 99, 79, 87, 80, 94, 87
Step 1: Find Median or Q2
Each line appears one at a time. Give the students a moment to put the data in order on their own before clicking to the ordered data.
Pause again after the explanation of how to find the median so students can calculate it on their own.
Put all the data in order
77, 79, 80, 86, 87, 87, 94, 99
Find the middle, since there are is an even number of data points, add the middle two and divide by 2
(86+87)/2 = 86.5

9. 5 Number Summary: Practice
Step 2: Find Q1 and Q3
Split the Data into the Two halves
Let students calculate Q1 and Q3 on their own before clicking to the answer.
77, 79, 80, 86
87, 87, 94, 99
Find the Median of Each Half
(79+80)/2 = 79.5
(87+94)/2 = 90.5
Q1 = 79.5
Q3 = 90.5

10. 5 Number Summary: Practice
Step 3: Min and Max
77, 79, 80, 86, 87, 87, 94, 99
Ask students for min and max before revealing answers.
When the data set is ordered the
1st number is the min and
the last number is the max
Min = 77
Max = 99

11. Box Plot
Box and Whiskers Plot

12. Box Plots Features Also known as “Box and Whiskers”
Uses 5 number summary to represent data
A dot is placed at min and max. A box is made with two sides at Q1 and Q3 and a line through the box at Q2