Data Displays Practice Worksheet
Statistics Lab Data Analysis & Modeling
DATA DISPLAYS & CONSTRUCTIONS
Core display types, construction procedures, and selection diagnostics
Name:
Date:
Period:
1 Data Display Playbook & Construction Rules
Review key rules before completing diagnostics
| Display Type | Data Type & Purpose | Step-by-Step Construction Procedure | Structure |
|---|
| Dot Plot Univariate numerical | Small sets (\(n \le 30\)); displays spread, clusters, and individual points. | 1. Draw scaled number line. | |
| 2. Place one dot per data point directly above its value. Stack duplicates evenly. | | | |
| ••••••• | | | |
1 2 3
|
| Bar Graph Categorical data | Compares counts or percentages among distinct categories. | 1. Categories on x-axis; frequency on y-axis.
2. Draw uniform bars with visible gaps between categories. |
A B C
|
| Histogram Continuous intervals | Large continuous numerical sets; reveals shape, symmetry, and skewness. | 1. Group numbers into equal-width intervals in a frequency table.
2. Draw adjacent bars where height = count. Bars must touch! |
Bins
|
| Box-and-Whisker 5-Number Summary | Shows median, quartiles (Q1, Q3), and extremes across spread. | 1. Order data; identify Min, Q1, Median (Q2), Q3, Max.
2. Draw box from Q1 to Q3 with median divider line; whiskers to min and max. |
Min Box Max
|
| Scatter Plot Bivariate numerical | Identifies correlation and relationships between two variables \((x, y)\). | 1. Set independent variable on x-axis and dependent on y-axis.
2. Plot coordinate pairs \((x, y)\); observe trends (positive, negative, none). |
(x, y)
|
2 Display Selection Diagnostics: Analyze & Select
Name the best display and justify using data type & purpose
Case A: Athlete Footwear 2 Variables
Coach Rivera measures the height (in.) and shoe size of 28 basketball players to test whether taller players wear larger shoes.
Best Display:
Reason (Data Type & Goal):
Case B: Commute Durations Continuous Grouped
Transit planners survey 240 commuters regarding daily travel time (10 to 95 mins) organized into equal 15-minute intervals.
Best Display:
Reason (Data Type & Goal):
Case C: Class Comparison Spread & Quartiles
A teacher compares the median score, IQR, and full spread between Period 1 and Period 4 science midterm exam results.
Best Display:
Reason (Data Type & Goal):
Case D: Club Participation Categorical
Student council tallies student enrollment across 5 extracurriculars: Art Club, Robotics, Debate, Choir, and Track.
Best Display:
Reason (Data Type & Goal):
Unit 4: Statistical Displays & Modeling Page 1 of 2 • Continue to Construction Lab on Page 2 Instructional Worksheet
3 CONSTRUCTION LAB: BUILDING DATA DISPLAYS
Follow step-by-step mathematical procedures to construct exact statistical representations
Total Points: / 30 pts
Task 1
Quiz Scores: Frequency Table & Histogram
10 Points
Sixteen students earned the following scores on a 20-point quiz: 12, 16, 14, 18, 12, 20, 16, 15, 17, 14, 18, 19, 13, 16, 17, 15
| Score Bin | Tally | Freq. |
|---|
| 11 – 13 | | |
| 14 – 16 | | |
| 17 – 18 | | |
| 19 – 20 | | |
| Total (\(n\)) | — | 16 |
Construct Histogram (Bars Must Touch)
8 6 4 2 0
11–13 14–16 17–18 19–20
Quiz Score Intervals
Task 2
Five-Number Summary & Box-and-Whisker Plot
10 Points
Eleven daily high temperatures in °F recorded during autumn: 62, 65, 68, 70, 72, 75, 78, 80, 82, 85, 90
1. Minimum
2. Q1 (Lower)
3. Median (Q2)
4. Q3 (Upper)
5. Maximum
IQR (Q3 − Q1)
Draw the Box-and-Whisker Plot directly aligned with the number line below:
⟨ ⟩
60
65
70
75
80
85
90
95
Task 3
Study Time vs. Exam Score Scatter Plot
10 Points
Data pairs (Hours Studied, Exam Grade %): (1, 65), (2, 70), (3, 75), (4, 85), (5, 90), (6, 95)
Plot the 6 Coordinate Points
100 80 60 40
0 1 2 3 4 5 6
Hours Studied (x)
1. Association Type:
Positive Negative No Trend
2. Trend Interpretation:
As study hours increase, the exam score tends to .
3. Prediction & Modeling:
Predicted score for 3.5 hrs:
Unit 4: Statistical Displays & Modeling Page 2 of 2 • Mastery & Application Complete Instructional Worksheet
