PTE Registrations 2024
Register now for PTE & Unlock 10% OFF : Use promo code: 'C360SPL10'. Limited Period Offer!
NCERT Solutions for Exercise 14.2 Class 10 Maths Chapter 14 Statistics are discussed here. These NCERT solutions are created by subject matter expert at Careers360 considering the latest syllabus and pattern of CBSE 202324. Class 10 Maths ex 14.2 introduces us to the concept of finding the mode of grouped data. In Mathematics NCERT syllabus Class 9 we have learnt about the mode. Mode is the most occurring value amongst all the observations and till ninth, we know how to find the model of the ungrouped data that is a collection of discrete values. NCERT solutions for Class 10 Maths chapter 14 exercise 14.2 includes various types of problems which covers the entire topic of finding mode in the grouped data.
Exercise 14.2 Class 10 Maths also gives us information about what is multi modal data, what is modal class and how to find the mode within the modal class. 10th class Maths exercise 14.2 answers are designed as per the students demand covering comprehensive, step by step solutions of every problem. Practice these questions and answers to command the concepts, boost confidence and in depth understanding of concepts. Students can find all exercise together using the link provided below.
Register now for PTE & Unlock 10% OFF : Use promo code: 'C360SPL10'. Limited Period Offer!
Q1 The following table shows the ages of the patients admitted in a hospital during a year:
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
The class having maximum frequency is the modal class.
The maximum frequency is 23 and hence the modal class = 3545
Lower limit (l) of modal class = 35, class size (h) = 10
Frequency ( ) of the modal class = 23, frequency ( ) of class preceding the modal class = 21, frequency ( ) of class succeeding the modal class = 14.
Now,
Age  Number of patients  Classmark


515  6  10  60 
1525  11  20  220 
2535  21  30  630 
3545  23  40  920 
4555  14  50  700 
5565  5  60  300 
=80 
=2830 
Mean,
The maximum number of patients are in the age group of 36.8, whereas the average age of all the patients is 35.37.
Determine the modal lifetimes of the components.
The class having maximum frequency is the modal class.
The maximum frequency is 61 and hence the modal class = 6080
Lower limit (l) of modal class = 60, class size (h) = 20
Frequency ( ) of the modal class = 61 frequency ( ) of class preceding the modal class = 52, frequency ( ) of class succeeding the modal class = 38.
Thus, the modal lifetime of 225 electrical components is 65.62 hours
The class having maximum frequency is the modal class.
The maximum frequency is 40 and hence the modal class = 15002000
Lower limit (l) of modal class = 1500, class size (h) = 500
Frequency ( ) of the modal class = 40 frequency ( ) of class preceding the modal class = 24, frequency ( ) of class succeeding the modal class = 33.
Thus, the Mode of the data is Rs. 1847.82
Now,
Let the assumed mean be a = 2750 and h = 500
Expenditure  Number of families  Classmark




10001500  24  1250  1500  3  72 
15002000  40  1750  1000  2  80 
20002500  33  2250  500  1  33 
25003000  28  2750  0  0  0 
30003500  30  3250  500  1  30 
35004000  22  3750  1000  2  44 
40004500  16  4250  1500  3  48 
45005000  7  4750  2000  4  28 
=200 
= 35 
Mean,
Thus, the Mean monthly expenditure is Rs. 2662.50
The class having maximum frequency is the modal class.
The maximum frequency is 10 and hence the modal class = 3035
Lower limit (l) of modal class = 30, class size (h) = 5
Frequency ( ) of the modal class = 10 frequency ( ) of class preceding the modal class = 9, frequency ( ) of class succeeding the modal class = 3
Thus, Mode of the data is 30.625
Now,
Let the assumed mean be a = 32.5 and h = 5
Class  Number of states  Classmark




1520  3  17.5  15  3  9 
2025  8  22.5  10  2  16 
2530  9  27.5  5  1  9 
3035  10  32.5  0  0  0 
3540  3  37.5  5  1  3 
4045  0  42.5  10  2  0 
4550  0  47.5  15  3  0 
5055  2  52.5  20  4  8 
=35 
= 23 
Mean,
Thus, the Mean of the data is 29.22
Find the mode of the data.
The class having maximum frequency is the modal class.
The maximum frequency is 18 and hence the modal class = 40005000
Lower limit (l) of modal class = 4000, class size (h) = 1000
Frequency ( ) of the modal class = 18 frequency ( ) of class preceding the modal class = 4, frequency ( ) of class succeeding the modal class = 9
Thus, Mode of the data is 4608.70
The class having maximum frequency is the modal class.
The maximum frequency is 20 and hence the modal class = 4050
Lower limit (l) of modal class = 40, class size (h) = 10
Frequency ( ) of the modal class = 20 frequency ( ) of class preceding the modal class = 12, frequency ( ) of class succeeding the modal class = 11
Thus, Mode of the data is 44.70
Class 10 Maths chapter 14 exercise 14.2 includes all the question of finding mode of the grouped data but in some way all the questions are different from each question because each question is represented with real life example problem such as ages of patients, life of electric component, expenditure of family, ratio of teacher and student, runs scored by batsman, counting passing cars, etc.
Along with this NCERT solutions for Class 10 Maths exercise 14.2 includes question in which we have to compare two central tendencies mode and mean. Exercise 14.2 Class 10 Maths covers all types of questions that can be formed in mode of grouped data and how we can use them in real life and compared with other central tendencies. Moreover, there are a few examples before NCERT Solutions for Class 10 Maths exercise 14.2 that have questions that are based on finding the mode of the ungrouped data.
Also Read Statistics Class 10 Notes
Also, See
This ex 14.2 class 10 discuss about the concept of Central tendency refers to the centre value of all observations.
These concepts are discussed ex 14.2 class 10 comprehensively. With the help of mode , median and mean we can measure central tendency of a data. Practice this exercise to command these concepts.
These concepts are discussed in class 10 maths ex 14.2 . The data which have more than one value which are repeated in same frequency are called multimodal data. Practice the problems to command these concepts.
These concepts are discussed in 10th class maths exercise 14.2 answers. Modal class is the class which have maximum frequency or we can say that the class which has highest occurring value in the data. Practice these problems to command the concepts.
l = modal class's lowest limit
h = denotes the length of the class interval (assuming all class sizes to be equal)
f ₁ =represents the frequency of the modal class
f ₀ =represents the frequency of the class preceding the modal class
f ₂ = represents the frequency of the class following the modal class.
There are six questions in class 10 ex 14.2. Practice these problems to command the concepts.
There are three problems based on the nature of root that are solved before the Class 10 Mathematics chapter 14 exercise 14.2.
Hello
The Sadhu Ashram in Aligarh is located in Chhalesar . The ashram is open every day of the week, except for Thursdays . On Mondays, Wednesdays, and Saturdays, it's open from 8:00 a.m. to 7:30 p.m., while on Tuesdays and Fridays, it's open from 7:30 a.m. to 7:30 p.m. and 7:30 a.m. to 6:00 a.m., respectively . Sundays have varying hours from 7:00 a.m. to 8:30 p.m. . You can find it at Chhalesar, Aligarh  202127 .
Hello Aspirant, Hope your doing great, your question was incomplete and regarding what exam your asking.
Yes, scoring above 80% in ICSE Class 10 exams typically meets the requirements to get into the Commerce stream in Class 11th under the CBSE board . Admission criteria can vary between schools, so it is advisable to check the specific requirements of the intended CBSE school. Generally, a good academic record with a score above 80% in ICSE 10th result is considered strong for such transitions.
hello Zaid,
Yes, you can apply for 12th grade as a private candidate .You will need to follow the registration process and fulfill the eligibility criteria set by CBSE for private candidates.If you haven't given the 11th grade exam ,you would be able to appear for the 12th exam directly without having passed 11th grade. you will need to give certain tests in the school you are getting addmission to prove your eligibilty.
best of luck!
According to cbse norms candidates who have completed class 10th, class 11th, have a gap year or have failed class 12th can appear for admission in 12th class.for admission in cbse board you need to clear your 11th class first and you must have studied from CBSE board or any other recognized and equivalent board/school.
You are not eligible for cbse board but you can still do 12th from nios which allow candidates to take admission in 12th class as a private student without completing 11th.
Register for Tallentex '25  One of The Biggest Talent Encouragement Exam
As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
As per latest 2024 syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters
Accepted by more than 11,000 universities in over 150 countries worldwide
Register now for PTE & Unlock 10% OFF : Use promo code: 'C360SPL10'. Limited Period Offer!
As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE