MathsFreePrintable

Comparing Data Distributions

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Comparing Data Distributions worksheet preview

Comparing Data Distributions

Data distribution graphs and charts

📊 Part 1: Calculating Summary Statistics

1. Two basketball teams recorded their scores over 10 games:

Team A: 68, 72, 75, 69, 81, 74, 70, 73, 76, 72

Team B: 65, 78, 69, 82, 71, 74, 67, 79, 73, 76

Calculate the following for each team:

2. Based on your calculations above, which team has:

a) The higher mean score? ________________

b) The more consistent performance (smaller range)? ________________

c) The higher median score? ________________

3. The heights (in cm) of students in two Year 9 classes are:

Class 9A: 152, 165, 158, 170, 163, 155, 167, 160, 172, 159

Class 9B: 148, 162, 156, 175, 164, 151, 169, 157, 161, 166

Calculate the mean and range for each class:

📈 Part 2: Distribution Shapes and Analysis

4. Describe the shape of each distribution using the words: symmetric, positively skewed, negatively skewed, or uniform.

a) Test scores: 45, 52, 58, 62, 65, 68, 72, 75, 78, 82, 85, 88, 92, 95

Distribution shape: ________________

b) Daily temperatures (°C) in July: 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23

Distribution shape: ________________

5. A data set has the following summary statistics:

Mean = 75, Median = 72, Mode = 70

The distribution is symmetric

The distribution is positively skewed

The distribution is negatively skewed

Cannot determine from this information

6. Compare these two data sets and explain which measure of central tendency would be most appropriate for each:

Data Set A: 12, 14, 15, 15, 16, 17, 18

Data Set B: 12, 14, 15, 15, 16, 17, 45

🎯 Part 3: Effects of Outliers

7. The weekly pocket money (in dollars) for 8 students is:

$15, $18, $20, $22, $25, $28, $30, $95

a) Calculate the mean with the outlier: $________________

b) Calculate the mean without the outlier ($95): $________________

c) Calculate the median with the outlier: $________________

d) Calculate the median without the outlier: $________________

8. Which measure of central tendency is most affected by outliers?

Mean

Median

Mode

They are all equally affected

9. Two swimming clubs recorded their members' lap times (in seconds). Analyse and compare the distributions:

Club A: 45, 47, 48, 50, 52, 54, 56, 58

Club B: 42, 46, 50, 51, 52, 53, 57, 68

Which club has more consistent performance? Justify your answer using appropriate statistics.

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds