Ex 10.5 Class 9 Maths Ganita Manjari Solutions | Sid Classes
Welcome to Sid Classes, your trusted destination for comprehensive academic resources! In this detailed study guide, we present complete, step-by-step solutions for the NCERT Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.5 Data Interpretation and Daily Activity Analysis. Designed to reflect how top-scoring students write their solutions and reasoning in school examinations, this walkthrough covers smartwatch health tracking, time allocation distributions, professional activity profiling, and custom-coded horizontal stacked percentage charts entirely clear.
🔑 Key Concepts & Analytical Guidelines:
- Daily Time Budget: Total hours in a full day equal 24 hours (\(\text{Lying down} + \text{Sitting} + \text{Standing/Moving} = 24\)).
- Percentage Distribution: Converting absolute hours into percentage shares (\(\frac{\text{Hours in state}}{24} \times 100\)) to construct horizontal stacked bar charts.
NCERT Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.5 Solutions
Question 1
The smartwatch data of 5 people was tracked from Monday to Friday, recording hours spent lying down, sitting, and standing or moving around. Complete Table 10.3, answer analytical questions, and build the chart.
Completed Table 10.3: Daily Activity Breakdown (24 Hours Total)
| Person / Role | Lying down (hrs) | Sitting (hrs) | Standing or Moving around (hrs) | Total (hrs) |
|---|---|---|---|---|
| Pavani (Patient) | 20 | 3 | 1 | 24 |
| Raghu (Nurse) | 7 | 4 | 13 | 24 |
| Zakir (Teacher) | 8 | 6 | 10 | 24 |
| Sahana (Student) | 8 | 8 | 8 | 24 |
| Julie (Office Worker) | 8 | 10 | 6 | 24 |
Detailed Answers:
(i) Sahana's Time Distribution (Student):
A reasonable daily distribution for a student is 8 hours of sleep/lying down, 8 hours sitting in classes and studying, and 8 hours standing or moving around (walking to school, sports, and daily activities), totaling exactly 24 hours (\(8 + 8 + 8 = 24\)).
(ii) Julie's Profession / Activity Guess:
Julie spends 10 hours sitting, 8 hours lying down (sleeping), and 6 hours standing or moving. This high sitting duration combined with standard sleep strongly suggests an Office Worker, Desk Job Professional, Software Engineer, or Data Analyst.
(iii) Percentage Stacked Chart (HTML/CSS Representation):
Frequently Asked Questions (FAQs)
Q1: How do you check if daily time breakdown tables are correct?
A: Ensure that the sum of hours across all activity states for any individual equals exactly 24 hours.
Q2: What is the benefit of percentage stacked bar charts?
A: They allow instant visual comparison of relative proportions across different categories even when total amounts are normalized.
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