NCERT Solutions for Statistics Exercise 14.4 Class 9 Maths

Class 9 Maths Chapter 14 Exercise 14.4: The topic of statistics is covered in Chapter 14 of Class 9 Maths. In this article, we have provided the detailed NCERT solutions for all the exercise questions for Ex 14.4 from Chapter 14. NCERT solutions are very helpful for all CBSE and other board students who study under a board that follows the NCERT curriculum. For all students who want to excel in their final exam, they should definitely solve exercise questions from NCERT textbooks. If you are having trouble understanding some of the concepts discussed in this chapter, the NCERT solutions can help you out.

A team of academic experts at Embibe has thoroughly researched and curated the NCERT solutions for Ex 14.4 Class 9. They are aware of the understanding level of Class 9 students and thus have prepared solutions accordingly. Furthermore, the solutions are totally consistent with CBSE standards, so students will have no trouble using them to answer questions in the final exam. For the convenience of students, we have included the solutions in PDF format. Continue reading!

NCERT Solutions for Statistics Ex 14.4 Class 9 Maths: Overview

Our experts have prepared NCERT Solutions for Class 9 Maths Ex 14.4 in a simple yet comprehensive manner. Furthermore, the solutions include step-by-step explanations to assist students in grasping the underlying concept. Embibe advises students to attempt to solve the exercise questions on their own first, and then take the help of these solutions if they get stuck. Before we provide you with the solutions, let’s have an overview:

NCERT Solutions for Class 9 Maths Chapter 6 Ex 14.4: Download PDFs

The complete Class 9 Maths 14.4 solutions are available in PDF format. This will be beneficial to students who may not always have stable internet access. If you prefer to get the solutions on paper, you may easily print these answers. Moreover, students should bookmark this page for easy access in the future.

Questions from this chapter are asked on a variety of entrance exams and scholarship exams. As a result, download the PDF solutions and complete the practice questions as a result. To receive the solutions PDF, simply click on the link provided below:

NCERT Class 9 Maths Chapter 14 Exercise 14.4 Solutions – Download Here

NCERT Solutions for Class 9 Maths Ex 14.4 Page 269

1. The following number of goals were scored by a team in a series of 10 matches:
2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, median and mode of these scores.

Solution: Mean = Average = Sum of all the observations/Total number of observations
= (2+3+4+5+0+1+3+3+4+3)/10
= 28/10
= 2.8
Median,
To find the median, we first arrange the data in ascending order.
0, 1, 2, 3, 3, 3, 3, 4, 4, 5
Here,
Number of observations (n) = 10
Since the number of observations is even, the median can be calculated as:

= 3
Mode,
To find the mode, we first arrange the data in ascending order.
0, 1, 2, 3, 3, 3, 3, 4, 4, 5.
Here,
We find that 3 occurs most frequently (4 times)
∴ Mode = 3

2. In a mathematics test given to 15 students, the following marks (out of 100) are recorded:
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Find the mean, median and mode of this data.

Solution: Mean=Average = Sum of all the observations/Total number of observations
= (41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)/15
= 822/15
= 54.8
Median,
To find the median, we first arrange the data in ascending order.
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
Here,
Number of observations (n) = 15
Since the number of observations are odd, the median can be calculated as:
Median = [(n+1)/2]th observation
= [(15+1)/2]th observation
= (16/2)th observation
= 8th observation
= 52
Mode,
To find the mode, we first arrange the data in ascending order.
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
Here,
We find that 52 occurs most frequently (3 times)
∴ Mode = 52

3. The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84, 95

Solution: Number of observations (n) = 10
Given that Median = 63
Since the number of observations are even, the median can be calculated as:

63 = [5th observation+(5+1)th observation]/2
63 = [5th observation+6th observation]/2
63 = (x+x+2)/2
63 = (2x+2)/2
x = 63-1
x = 62

4. Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

Solution: Mode,
To find the mode, we first arrange the given data in ascending order.
14,14,14,14,17,18,18,18,22,23,25,28
Here,
We find that 14 occurs most frequently (4 times)
∴ Mode = 14

5. Find the mean salary of 60 workers of a factory from the following table:

Solution:

The mean salary is ₹5083.33

6. Give one example of a situation in which
(i) the mean is an appropriate measure of central tendency.
(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

Solution:
(i) Mean marks obtained in the examination
(ii) Runs scored by Mahendra Singh Dhoni in 7 matches are,
39, 51, 56, 102, 83, 48, 91
Here,
Mean = (39+51+56+102+83+48+91)/7
= 470/7
= 67.1.
Median,
Arranging in ascending order we get 39, 48 51, 56, 83, 91, 102
n = 7
Median = [(n+1)/2]th observation
= ( (7+1)/2)th observation
= (8/2)th observation
= 4th observation
= 56

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About NCERT Solutions for Class 9 Maths Ex 14.4

The branch of statistics concerned with the gathering, organisation, interpretation, analysis, and presentation of data is known as statistics. If you want to use statistics to solve a scientific, industrial, or social problem, you should start with a statistical model or a statistical population.

Statistical methods are mathematical models, formulas, and strategies utilised in raw research data statistical analysis. Only on NCERT Solutions For Class 9 Maths can you learn more about Statistics and how to solve all types of problems. It’s also one of the top academic tools for revising for your Class 9 Maths exams.

Key Features of NCERT Solutions for Class 9 Maths Chapter 14 – Statistics

Some of the key features of Class 9 Maths NCERT Solutions Chapter 14 are:

1. Subject matter experts provide the answers.
2. Students will benefit from NCERT Solutions for Class 9 Maths Chapter 14- Statistics as they prepare for the final examinations.
3. The solutions provided to all the questions are correct.
4. The NCERT Solutions Maths Class 9 contains all of the questions from the textbook, as well as their solutions.

FAQs on Exercise 14.4 Class 9 NCERT Solutions for Maths

Here are some frequently asked questions on Exercise 14.4 Class 9 NCERT Solutions for Maths.

Q.1: How to make the best use of NCERT Solutions for Class 9 Maths?
Ans: All of the concepts are presented with thorough examples in NCERT Solutions Class 9 Maths Chapter 14. Instead of only reading the examples, students should practise all of the solved examples on their own to better comprehend the ideas and formulas. There are also highlighted texts in the chapter that emphasise key themes for pupils to remember.

Q.2: What is the importance of NCERT Solutions Class 9 Maths Chapter 14 Ex 14.4?
Ans: Statistics are crucial in practically every aspect of life. Understanding how to collect and analyse data is essential for drawing the necessary conclusions. NCERT Solutions Class 9 Maths Chapter 14 is crucial for students since the ideas are presented in a precise and practical manner with the help of appropriate examples.

Q.3: What are some of the most important topics covered in NCERT Solutions Class 9 Maths Chapter 14?
Ans: The NCERT Solutions Class 9 Maths Chapter 14 covers the definition of data, types of data, data collection and analysis, graphical representation of data in the form of bar graphs and histograms, and measurements of central tendency.

Q4: Do I need to practice all questions provided in Class 9 Maths Solutions for Statistics?
Ans: To understand concepts in mathematics, students must practise often. Each question and example in NCERT Solutions Class 9 Maths Statistics clarifies a key concept. All of the questions are written in such a way that they will allow students to investigate a wide range of topics. As a result, it is critical to practise all of the questions in order to gain a better understanding of the subject.

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