Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.5 Solutions How Quantities Combine: Understanding Data

Looking for Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.5 Solutions? This page provides clear and step-by-step solutions for Chapter 10 – How Quantities Combine: Understanding Data, Part 2. The solutions are designed to help students understand the concepts, calculations, and methods used in Exercise 10.5 while preparing effectively for exams.

Students can use these Ganita Manjari Class 9 Maths Chapter 10 Exercise 10.5 Solutions for homework, revision, and practice. A PDF of the Exercise 10.5 solutions is also provided for easy reference and offline study.

Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.5 Solutions How Quantities Combine: Understanding Data

NCERT Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.5

1. The smart watch data of 5 people was tracked from Monday to Friday. The recorded data tells us how many hours each person spent lying down, sitting, and standing or moving around, etc., as shown in the following table.

Table 10.3: Average number of hours spent per day (Monday–Friday) lying down, sitting, and standing or moving around, etc., of 5 people

Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.5 Question 1

(i) How much time does Sahana spend per day in each of these body-states? Make a reasonable guess and fill her row in the table.
(ii) Guess what activity or work Julie could be engaged in based on the data. Find out what your classmates’ guesses are.
(iii) Complete the chart below based on the tabular data.

Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.5 Question 1 Part 3
Answer:

Solution:

Each person’s three activities together account for 24 hours in a day.

(i) How much time does Sahana spend in each body-state?

This question is based on a reasonable estimate, so different answers are possible.

For example, since Sahana is a student, we may assume that she spends:

  • Lying down: 8 hours
  • Sitting: 8 hours
  • Standing/moving around: 8 hours

Total = 8 + 8 + 8 = 24 hours

So, one possible entry for Sahana is:

8 hours, 8 hours, 8 hours

(ii) What activity or work could Julie be engaged in?

Julie spends:

  • 8 hours lying down
  • 10 hours sitting
  • 6 hours standing or moving around

Since she spends a relatively large amount of time sitting, Julie could be engaged in a desk-based job, such as an office worker, accountant, or computer professional.

This is only a reasonable guess; other answers are also possible.

(iii) Complete the 100% stacked bar chart.

Convert the hours into percentages using:

Percentage = (Number of hours / 24) × 100

Person Lying down Sitting Standing/Moving
Pavani 83.33% 12.50% 4.17%
Raghu 29.17% 16.67% 54.17%
Zakir 33.33% 25% 41.67%
Sahana* 33.33% 33.33% 33.33%
Julie 33.33% 41.67% 25%

*For Sahana, these percentages correspond to the suggested 8 h, 8 h, 8 h estimate.

These percentages can be used to complete each 100% stacked bar in the chart.

Related Links: Chapter 10 Exercise-wise Solutions