Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.4 Solutions How Quantities Combine: Understanding Data

The NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.4 – How Quantities Combine: Understanding Data help students understand how data can be analysed and represented using suitable mathematical methods. This exercise focuses on interpreting different forms of data, comparing quantities, and understanding how proportions and combined values can be used to draw meaningful conclusions.

The solutions are explained in a clear, step-by-step manner so that students can easily follow the reasoning behind each answer and apply the same method to similar questions. Students can also refer to the Solutions PDF for convenient practice, revision, and exam preparation.

Class 9 Maths Ganita Manjari Chapter 10 Exercise 10.4 Solutions How Quantities Combine: Understanding Data

NCERT Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.4

1. The following stacked column chart shows the number of animal species in the IUCN Red List, by class, over time.

Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.4 Question 1

(i) What does the number 14,234 on the top of the column 2019 represent?
(ii) Approximately how many reptile species were in the list in 2016?
(iii) Which class(es) of species have seen a relatively small increase in count between 2007 and 2019?

Answer:

i) What does 14,234 represent?

The number 14,234 represents the total number of animal species across all the given classes that were on the IUCN Red List in 2019.

(ii) Approximately how many reptile species were in the list in 2016?

From the stacked column for 2016, the reptiles section represents approximately 1,200 species.

Therefore, about 1,200 reptile species were on the list in 2016.

(iii) Which classes have seen a relatively small increase between 2007 and 2019?

Comparing the sizes of the segments for 2007 and 2019, reptiles and birds show relatively small increases compared with several of the other classes.

Therefore, reptiles and birds have seen a relatively small increase in count between 2007 and 2019.

2.

Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.4 Question 2

The wickets taken by a bowler in International Cricket matches till 2025 are shown in the table. Complete the given stacked bar charts (the bar lengths can be approximate),
(i) comparing the total wickets taken at home vs. overseas:

Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.4 Question 2 Part 1

(ii) The total wickets taken in each format:

Class 9 Maths Ganita Manjari Chapter 10 Exercise Set 10.4 Question 2 Part 2
Answer:

From the table:

Format Home Overseas
Test 62 172
ODI 100 49
T20 32 71

(i) Comparing total wickets taken at home vs. overseas

For Home:

62 + 100 + 32 = 194 wickets

To draw the stacked bar:

  • Test: 0 to 62
  • ODI: 62 to 162
  • T20: 162 to 194

For Overseas:

172 + 49 + 71 = 292 wickets

To draw the stacked bar:

  • Test: 0 to 172
  • ODI: 172 to 221
  • T20: 221 to 292

Therefore, total wickets taken: Home = 194 and Overseas = 292.

(ii) Total wickets taken in each format

Test:

62 + 172 = 234 wickets

Stacked bar:

  • Home: 0 to 62
  • Overseas: 62 to 234

ODI:

100 + 49 = 149 wickets

Stacked bar:

  • Home: 0 to 100
  • Overseas: 100 to 149

T20:

32 + 71 = 103 wickets

Stacked bar:

  • Home: 0 to 32
  • Overseas: 32 to 103

Therefore, the totals are: Test = 234 wickets, ODI = 149 wickets, and T20 = 103 wickets.

Related Links: Chapter 10 Exercise-wise Solutions