Stat Squad

What your child will figure out

• Find the mode by grouping equal values and identifying the tallest frequency stack.
• Order data to find the median and use the two middle values when the set has even size.
• Find range as maximum minus minimum and mean as the total shared equally across all values.
• Choose and calculate the useful statistic in generated data sets whose size and complexity adapt to performance.

The levels

1. The repeat offender

   Predict the mode, stack matching score cards, observe the tallest stack, and explain why frequency—not size—decides it.

2. Middle of the lineup

   Predict, then order the cards and identify the middle score as the median.

3. The full spread

   Predict the range, stretch the number line between its endpoints, and explain maximum minus minimum.

4. The fair share

   Balance a five-player total into equal shares and connect the visual balance to the mean.

5. The giant decoy

   Reject a large but rare value and identify a smaller value as the mode from frequency evidence.

6. Two at the centre

   Order an even-sized set and average its two middle values to find the median.

7. Double endpoints

   Recognize that repeated minimum and maximum values do not change the range calculation.

8. Six-way balance

   Find the mean of a larger set by redistributing paired scores into six equal shares.

9. The crowded stacks

   Compare two repeating values and identify the uniquely tallest frequency stack.

10. Duplicate defenders

    Order repeated values without losing cards and locate the median position in a seven-value set.

11. The runaway score

    Include a distant outlier when measuring the full minimum-to-maximum range.

12. Redistribution match

    Find a mean when the values are uneven and no equal share is visually obvious at first.

13. Championship frequencies

    Resolve a dense multi-frequency set by counting every occurrence accurately.

14. Half-point middle

    Find a decimal median by averaging two consecutive centre scores in an eight-card lineup.

15. Zero to the whistle

    Use zero as a valid minimum and repeated maxima as the other range endpoint.

16. The final box score

    Transfer all four statistic clues to a final mean case and justify the equal-share result.