NCERT Solutions For Class 9 Maths Chapter 14: Exercises - Embibe
• Written By Khushbu
• Written By Khushbu

# NCERT Solutions For Class 9 Maths Chapter 14

NCERT Solutions For Class 9 Maths Chapter 14: The detailed solutions for NCERT Class 9 Maths Chapter 14 – Statistics – are provided in this article. Students from all over India who are using NCERT textbooks for their Class 9 Maths exam preparation, can refer to the solutions provided here. The NCERT Solutions for Class 9 Maths Chapter 14 cover exercise 14.1, exercise 14.2, exercise 14.3, and exercise 14.4. These solutions are created by the top Maths experts at Embibe.

With the help of these NCERT solutions for Class 9 Maths Chapter 14, students will be able to understand the concepts better and complete their assignments and homework on time. It will also help in the quick revision of the chapter. Students can directly download NCERT Solutions for Class 9 Maths Chapter 14 PDF from the link given in this article so that they can study in the offline mode as well.

## Class 9 Maths Chapter 14: Overview

NCERT Solutions for Class 9 Maths Chapter 14 Statistics discuss the concept of data from a statistical aspect. Statistics cover the grouping of data, presenting the data in a particular manner, the idea of primary and secondary data, and so on. Statistics are very important from an exam point of view.

### NCERT Solutions for Class 9 Maths Chapter 14: PDF

Below-mentioned are the NCERT solutions for Class 9 Maths Chapter 14. Students can find the PDF downloadable links after the question and answers provided below.

Here are a few questions and answers that the students can use as they prepare for their exams:

Question: 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.

Answer: The number of marks scored by the students are
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Mean of data=Sum of all observationsTotal number of observations Mean Score=41+39+48+52+46+62+54+40+96+52+98+40+42+52+6015 =82215
=Mean score=54.8
Arranging the number of marks in ascending order as 39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
As the number of observations is 15 and 15 is an odd number, so, the median score will be n+12th=8th term.
Therefore, the median is 52. Mode of data is the observation whose frequency is maximum. Therefore, the mode score of data is 52 as it’s maximum frequency is 3 in the data.

The mean, median and mode scores are 54.8, 52 and 52 respectively

Question: Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18
The given observations are 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Mode of a data is the observation with maximum frequency value. Here observation 14 is having the highest frequency i.e. 4 in given data. So, mode of given data is 14.

### Class 9 Maths Chapter 14: Chapter Summary

In NCERT Class 9 Maths Chapter 14, students will learn about Statistics. In this chapter, students will be performing various exercises on the given data. Students will be learning tally, graphical representation of data like bar graphs, histogram, frequency polygons. Going forward, they will learn Measures of Central tendency of Ungrouped data which are nothing but Mean, Median, and Mode. By the end of this chapter, they will be able to explain statistics in detail.

In addition, this chapter helps students appreciate the diverse applications of statistics and its relevance to their lives and fields of study. This chapter does not require any prior knowledge of statistics. Its prerequisite is basic algebra.

### How to Prepare for CBSE Class 9 Maths Statistics?

To score higher in mathematics subject, it is mandatory to keep practicing until students can solve the questions easily and quickly. Solve the Class 9 Maths Statistics practice questions at Embibe for free. Students should always start with the questions they are are good at then move to the hard/unfamiliar questions. From the Embibe practice sessions, they can explore many things. They can take up the chapter-wise mock test for Statistics to know where they can improve and score better marks. Downloading these NCERT Solutions PDF will help students refer to the NCERT questions and answers related to Statistics as and when required.

### CBSE Class 9 Maths Chapter 14 Important Questions

Some of the important questions from CBSE Class 9 Maths Chapter 14 are as under:

1. If the mean of 2,4,6,8,x,y is 5 then find the value of x+y?
2. Write the class mark of 90-110 group.
3. If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.
4. The mean of observations is 20. If the mean of the first 4 observations is 12 & that of last 4 observations is 28, find the 4th observations?
5. What is the upper limit of the interval: 20 – 23?
1. The mean of 10 numbers is 20, If 5 is subtracted from every number, what will be the new mean.
2. Find the mean of the first 10 even natural number.
3. Find the median of 37,31,42,43,46,25,39,45,32.
4. Find the mode of the following series: 25,23,22,22,24,27,27,25,23,22,26,32
5. If the median of a series of data is 3 and mean is 2 then find the mode.
1. Find the median of the following data: 19,25,59,48,35,31,30,32,51. If 25 is replaced by 52 what will be the new median.
2. If the mean of five observations x,x+2,x+4,x+6,x+8 is 11 find the mean of the first three observations.
3. The mean of five numbers is 18. If one number is excluded, their mean is 16, find the excluded number.
4. If the mean of the following data is 21. Find the value of P.
a) X 7 15 28 5 1
b) Y 8 20 P 3 2
5. The mean of 5 numbers is 39. If one number is excluded, their mean is 35, find the excluded number.
1. The mean monthly salary of 10 members of a group is Rs.1445, one more member whose monthly salary is Rs.1500has joined the group. Find the mean monthly salary of 11 members of the group.
2. The mean of 200 items was 50. Later on, it was discovered that the two items were misread as 92 and 8 instead of 192 and 88. Find the correct mean.
3. Prove that the sum of the deviations of individual’s observations from the mean is zero.
4. The average score of girls in class examination in a school is 6 and that of boys is 63. The average score for the whole class is 64.5. Find the percentage of girls and boys in the class.

### FAQs on NCERT Solutions for Class 9 Maths Chapter 14

Q.1: How can I score good marks in NCERT Class 9 Maths Subject?
Ans: To score higher in mathematics subject, it is compulsory to practice consistently. You are advised to solve all the chapters of Class 9 Maths at Embibe for free. Moreover, ensure that you always begin with questions you know or are good at and then move to hard questions.

Q.2: What will I learn in NCERT Class 9 Maths Chapter 14?
Ans: In NCERT Class 9 Maths Chapter 14, you will learn about Statistics. In this chapter, you will be performing various exercises on the given data. You will learn tally, graphical representation of data like bar graphs, histogram, frequency polygons.

Q.3: Which topics are covered in NCERT Solutions for Class 9 Maths Chapter 14?
Ans: The topics covered in the NCERT Solutions for Class 9 Maths Chapter 14 are as follows:

• 14.1: Collection of Data
• 14.2: Presentation of Data
• 14.3: Graphical Representation of Data
• 14.4: Measures of Central Tendency

Q.4: Are the NCERT Solutions for Class 9 Maths Chapter 14 easy to understand?
Ans: The NCERT Solutions by Embibe will help you in understanding the chapter Statistics better. The NCERT Solutions for Class 9 Maths Chapter 14 have been explained in a step-by-step manner. Class 9 student can understand NCERT Solutions for Class 9 Chapter 14 easily.

Q.5: What is the relationship between the mean, median, and mode of a data set?
Ans: In the case of the data set, the relation between mean, median, and mode is expressed via, “Mode = 3 Median – 2 Mean”. Moreover, this mean median and mode relationship is known as the “empirical relationship”.

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