Stretching Into Statistics: Rubber Band Investigation

Stretching Into Statistics: Rubber Band Investigation

Year 5 Mathematics Statistical Investigation Data Analysis and Interpretation

Learning Intentions

Collect and organize data from an investigation Calculate mean, median, mode, and range Identify patterns and outliers in data Draw conclusions from statistical analysis Present findings clearly

Starter Discussion

What do you think affects how far a rubber band can stretch? How could we measure and compare different rubber bands fairly? What data would we need to collect?

Our Investigation

We tested two different rubber bands Each band was stretched 10 times We measured maximum stretch distance All measurements in centimeters Fair test conditions maintained

Investigation Data

Organizing Our Data

Step 1: Copy the data into your notebook Step 2: Order each set from smallest to largest Step 3: Look for any unusual values Step 4: Prepare to calculate statistics

Understanding the Mean

The mean is the average of all values Add up all the measurements Divide by the number of measurements Band A: 135 ÷ 10 = 13.5 cm Band B: 205 ÷ 10 = 20.5 cm

Finding the Median

The median is the middle value First, order the data from smallest to largest Find the middle number Band A: 11, 12, 12, 13, 13, 14, 14, 15, 15, 16 Median = 13.5 cm (between 13 and 14)

Identifying the Mode

The mode is the most common value Look for numbers that appear most often Band A: 12, 13, 14, and 15 each appear twice Band A has multiple modes Band B: 18, 19, and 20 each appear twice

Calculating the Range

Range shows how spread out our data is Range = Highest value - Lowest value Band A: 16 - 11 = 5 cm Band B: 25 - 18 = 7 cm Larger range means more variation

Main Activity: Calculate Your Statistics

Work in pairs to calculate all four statistics Band A: Mean, Median, Mode, Range Band B: Mean, Median, Mode, Range Check your answers with your partner Record results in your table

Looking for Patterns and Outliers

{"left":"Band B consistently stretches further than Band A\nBand A measurements are more consistent (smaller range)\nBand B has one outlier: 25 cm","right":"Most measurements cluster around the mean\nBoth bands show some natural variation"}