Class 7 Maths Chapter (Part II) 5 : Connecting the Dots | Statistics, Mean, Median, Mode, Range & Data Handling
Complete Chapter 5 (Part II) guide: introduction to statistical questions and statements, calculating representative values like Arithmetic Mean (Average), Median (middle value), Mode (most frequent value) and Range (difference between max and min), understanding 'fair-share' concept of mean, choosing the right measure of central tendency for different situations (outliers effect), plus solved examples from cricket scores, rainfall data, and garden flowers for CBSE Class 7 Maths
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Categories: Class 7 Mathematics, NCERT Maths Notes 2025, Data Handling & Statistics, Mean Median Mode, CBSE Exam Preparation, Practice Questions & Quizzes
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Class 7 Mathematics Chapter 5: Connecting the Dots – Statistics Complete Notes, Solutions, Questions & Answers 2025
This chapter introduces statistical thinking, questions, statements, and representative values like mean, using examples from cricket, fruits, flowers, and onion prices.
Main Topics Covered
Statistical questions and statements
Representative values: Mean (average)
Fair-share interpretation of average
Comparing data sets using totals, averages, max/min
Visualizing data with dot plots
Averages in real life
Outliers and medians
Key Takeaways for Exams
Statistical Question
Anticipates variability, requires data collection.
Mean Formula
Sum of values ÷ Number of values.
Fair-Share
Average as equal distribution.
Dot Plot
Visualizes data distribution and variability.
Outliers
Extreme values affecting mean; use median.
Data Comparison
Use min, max, range, average, total.
Key Rules & Properties – Statistics
Important rules for calculating and interpreting means and data comparisons.
Arithmetic Mean (Average)
Mean = Sum of all values ÷ Number of values.
Examples
Values
Sum
Count
Mean
Guavas (Shreyas)
3,8,10,5,4
30
5
6
Guavas (Parag)
5,4,6,3,4,8
30
6
5
Hibiscus Flowers
2,7,9,4,3
25
5
5
Data Comparison Methods
Use total, average, min, max, range (max - min).
Location
Min Price
Max Price
Range
Average
Yahapur
24
59
35
38.17
Wahapur
17
60
43
37.5
Properties
Fair-Share: Equal distribution among group.
Outliers: Affect mean; median is alternative.
Statistical Question: Expects variability.
Dot Plot: Shows clustering and spread.
Concept Cards – Quick Explanations
Statistical Statement
Claim about phenomenon with numbers/proportions.
Statistical Question
Requires data collection due to variability.
Arithmetic Mean
Sum ÷ Count; representative value.
Fair-Share
Average as equal share.
Dot Plot
Visualizes data points on line.
Range
Max - Min; measures spread.
Outlier
Extreme value affecting mean.
Median
Middle value in ordered data.
Data Variability
Spread/clustering in values.
Averages in Life
Rainfall, mileage, yields, etc.
Examples + Solutions
Example 1: Cricket Series 1 Performance
Solution: Shubman total 128, average 32; Yashasvi total 175, average 43.75. Yashasvi better.
Example 2: Cricket Series 2 Performance
Solution: Shubman total 110/5=22; Yashasvi 96/4=24. Yashasvi better.
Example 3: Guavas Fair-Share
Solution: Shreyas group 30/5=6; Parag 30/6=5. Shreyas gets more.
Example 4: Hibiscus Flowers Average
Solution: (2+7+9+4+3)/5=5.
Example 5: Onion Prices Comparison
Solution: Yahapur average ≈38.17, Wahapur 37.5. Yahapur costlier on average.
Example 6: Family Heights with Outlier
Solution: Yaangba mean ≈164.33; Poovizhi 160.2. But outlier 118; medians needed for fair comparison.
