NCERT Solutions for Statistics Exercise 14.1 Class 10 Maths

NCERT Solutions for Statistics Exercise 14.1 Class 10 Maths: The Class 10 board exams is one of the most important stages for any student in their life. Based on these marks, they get to decide what the next step in their career would be. The Chapter 14, Statistics can be a scoring chapter if studied with utmost focus and concentration. NCERT Ex 14.1 Class 10 Maths solutions are provided by the SMEs at Embibe.

NCERT Ex 14.1 Class 10 comprises of questions that requires thorough knowledge of the subject in order to solve accurately. The Statistics chapter deals with topics like Mean of Grouped Data, Mode of Grouped Data, Median of Grouped Data, Graphical Representation of Cumulative Frequency Distribution and more. These are essential topics to clear the CBSE Class 10 exams with maximum marks. Let us go through the exercise Class 10 Maths 14.1 Exercise in detail.

NCERT Solutions for Statistics Exercise 14.1 Class 10 Maths – Chapter Overview

Before taking a look at the NCERT solutions Class 10 Maths Ex 14.1, students are required to know what Statistics is about, and how to solve the problems related to it. Let us take a brief overview of the Class 10 Statistics chapter.

NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.1: Key features & Benefits

NCERT solutions for Class 10 Maths provided by Embibe is a great source to find solutions for your problems for CBSE Class 10 Statistics syllabus. The important highlights and significance of Embibe solutions are given below:

• Academic experts with several years of experience in the Mathematics field have prepared these NCERT solutions and these keep the students updated with the latest solutions of the Class 10 syllabus.
• These solutions provided are set to an elementary level of understanding and are well-structured to help students in the best possible way to solve the Class 10 Mathematics questions.
• Embibe’s NCERT solutions Class 10 Maths provides strategic, step-by-step and comprehensive explanations to every question asked in the examination.
• Exercise 14.1 Class 10 Maths NCERT solutions complements these solutions with several graphs and charts for better understanding and visualisation for the students.
• These solutions also help students in solving their homework and assignments and provides a strong foundation for future examinations as well.

NCERT Class 10 Maths Chapter 14 Exercise 14.1: Tips To Solve

Students are advised to follow these below mentioned tips and tricks to make best use of the Class 10 Maths Exercise 14.1 answers.

• Students must go through all of the examples given in this exercise to build a basic foundation of Statistics.
• Revising and practising questions and the formulas based on this exercise will help students in improving their problem-solving skills and get accurate answers more efficiently.
• As the NCERT Solutions Class 10 Mathematics Chapter 14 Exercise 14.1 includes the introduction to the concepts of mean and mode, where students should understand the methods to arrange the data accurately and efficiently.
• Remembering the formula and answering the questions in a step-by-step manner is a basic tip to crack this topic.

NCERT Class 10 Maths Chapter 14 Exercise 14.1: PDF

In this article, we have provided the NCERT Solutions for Chapter 14 Ex 14.1 Class 10 Maths for Statistics for your reference. You are advised to bookmark this page and use it to learn and practice the solutions later.

NCERT Class 10 Maths Chapter 14 Exercise 14.1 Problems:

Q.1: A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

Which method did you use for finding the mean, and why?

Solution: First of all, we have to find class marks xi for each interval.
We know that, class mark(xi)=upper classlimit+lower classlimit2
Now we may compute xi and fixi as following
Number of plants Number of houses fi xi fixi

From the table, we can see that Σfi=20 Σfixi=162
Mean x-=ΣfixiΣfi
=16220=8.1
Hence, mean number of plants per house is 8.1. Direct method is used here as values of class marks xi and fi are small.

Q.2. Consider the following distribution of daily wages of 50 workers of a factory.

Find the mean daily wages of the workers of the factory by using an appropriate method.

Solution: We will use step deviation method.

First, we have to find class mark for each interval.
We know that, xi=upper class limit+lower class limit 2 Class size (h) of this data =20.
Let us take 550 as assumed mean (a). Now, we can calculate di, ui and fiui as following:

From the table, we can see that,
Σfi=50
Σfixi=-12 Mean x-=a+ΣfiuiΣfih =550+-125020 =550-245 =550-4.8 =545.2
So, mean daily wages of the workers of the factory is ₹545.20.

Summary of Class 10 Maths Chapter 14 Exercise 14.1

• NCERT solutions for Class 10 Maths Chapter 14 Exercise 14.1 Statistics teaches students to calculate the mean of grouped data using three different methods, i.e. direct method, assumed mean method, and step-deviation method.

• Concepts explained in this section will help students to learn about arranging data in a form that will be helpful, accurate and efficient. Arrayed Data is the data that is arranged in ascending or descending order.

• NCERT solutions Class 10 Ex 14.1 has comprises of 9 questions where data is tabulated for better understanding. Using this, students have to find the mean using the three different methods as mentioned above.

FAQs on NCERT Class 10 Maths Solutions for Statistics

Below are a few frequently asked questions on NCERT Solutions for Statistics Exercise 14.1 Class 10 Maths:

Q.1: Where can I get Class 10 Chapter 14 Exercise 14.1 NCERT Solution PDF?
Ans: Students can get Class 10 Chapter 14 Exercise 14.1 NCERT Solution PDF from the above article.

Q.2: How many questions are there in Chapter 14 Ex 14.1 Maths Class 10 NCERT Solution?
Ans: There are 9 questions in Chapter 14 Ex 14.1 Maths Class 10 NCERT Solution.

Q.3: How much time do students need to complete Exercise 14.1 of Class 10 Mathematics?
Ans: Giving at least one hour to Exercise 14.1 Chapter 14 Class 10 Maths will be sufficient for the students to complete and comprehend the concept. However, it should be noted that consistent practice will assist the student in achieving the desired results. Hence, it is recommended that the student return to the exercise several times and practise the numericals to understand better.

Q.4: Define statistics?
Ans: Statistics is a discipline of mathematics concerned with collecting, classifying, and representing any type of data to facilitate analysis and understanding.

Q.5: What is ungrouped data?
Ans: Ungrouped data is data that is typically represented in its original or raw form and in which the observations are not sorted into categories.

Q.6: Will the NCERT Solutions for Class 10 Maths Statistics Ex 14.1 help me to solve the problems easily?
Ans: Yes, the NCERT Solutions for Class 10 Maths Statistics Ex 14.1 will help you in solving the questions easily. It is an excellent study material for students who want to complete their homework on time and get higher grades in their term exams.

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