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Mathable Smart Lab

CLASS VII • STATISTICSSmart Lab: Mean, Median, Outliers & Dot Plots

Connecting the Dots…

Explore statistical questions, representative values, arithmetic mean, median, outliers, variability, and dot plots.

Fact Sheet: Statistical Thinking

Statistical question: a question answered by collecting data, because values can vary. Example: “How tall are Grade 7 students in our school?”
Statistical statement: a claim or summary expressed using numbers, proportions, probabilities, or predictions.
Representative value: one number used to describe a collection of numbers. Mean and median are common representatives.
Outlier: a value that is very different from the rest and can strongly affect the mean.
Ask a data question
Collect values
Find mean / median
Plot dots
Make inference

Concept Hub

Mean

Add all values and divide by the number of values.

Mean = sum ÷ count

Fair-share

The mean is the value each person gets if the total is shared equally.

Median

Sort the data and pick the middle value. If there are two middle values, average them.

Range

Range = maximum − minimum. It shows spread between the extremes.

Dot Plot

Each dot represents one data value on a number line. Repeated values stack up.

Zero vs No Value

0 is a real value. A dash “—” means no data and should usually be excluded from calculations.

Mean = (sum of all data values) ÷ (number of data values)

Interactive Lab: Statistics Solver

Score: 0Current Streak: 🔥 0Badge: Dot Detective


Activity Zone

📍 Mean–Median Dot Plotter

Enter comma-separated numbers. The lab calculates mean, median, range, and draws a dot plot.

⚖️ Fair-Share Mean Lab

Use the guava-sharing idea. Enter each person’s collection and see the equal share.

🧅 Onion Price Comparator

Compare Yahapur and Wahapur using mean, median, minimum, maximum, and range.

🧲 Outlier Simulator

Add or remove an extreme value and see how it changes the mean and median.

Worksheet Generator

Generate practice on mean, median, outliers, dot plots, and statistical questions.



Real-World Use

Sports: Batting averages compare players when they play different numbers of matches.
Prices: Mean, median, and dot plots help compare monthly price variation between towns.
Daily life: Average travel time, phone checks, mileage, rainfall, and waste generation are statistical summaries.

🌍 Real-Life Case Generator

Teacher Tools

Learning Outcomes

  • Distinguish statistical and non-statistical questions.
  • Compute and interpret arithmetic mean as fair-share.
  • Compute median for odd and even data sets.
  • Identify outliers and discuss their effect on mean and median.
  • Use dot plots to describe clustering, spread, and variability.

Exit Ticket Prompts

  • Give one statistical question from your school life.
  • Find the mean and median of 4, 5, 5, 6, 40. Which represents the data better?
  • Explain why 0 and “no value” are not the same.