default_background

Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Q8:

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. 

Solution :

Given: The frequency distribution of the number of days 40 students were absent during a term.

To Find: The mean number of days a student was absent.

Data Representation:

Number of days Number of students ($f_i$)
0 - 611
6 - 1010
10 - 147
14 - 204
20 - 284
28 - 383
38 - 401
Total$\sum f_i = 40$

Step 1: Calculate the Class Mark ($x_i$) for each interval.

The class mark is calculated using the formula: $x_i = \frac{\text{Upper Limit} + \text{Lower Limit}}{2}$.

  • For 0 - 6: $x_1 = \frac{0+6}{2} = 3$
  • For 6 - 10: $x_2 = \frac{6+10}{2} = 8$
  • For 10 - 14: $x_3 = \frac{10+14}{2} = 12$
  • For 14 - 20: $x_4 = \frac{14+20}{2} = 17$
  • For 20 - 28: $x_5 = \frac{20+28}{2} = 24$
  • For 28 - 38: $x_6 = \frac{28+38}{2} = 33$
  • For 38 - 40: $x_7 = \frac{38+40}{2} = 39$

Step 2: Calculate the product of frequency and class mark ($f_i x_i$).

Class Interval $f_i$ $x_i$ $f_i x_i$
0 - 611333
6 - 1010880
10 - 1471284
14 - 2041768
20 - 2842496
28 - 3833399
38 - 4013939
Total40-499

Step 3: Apply the Direct Method formula for Mean ($\bar{x}$).

The formula for the mean is given by: $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$

Substituting the values obtained from the table:

$\sum f_i x_i = 33 + 80 + 84 + 68 + 96 + 99 + 39 = 499$

$\sum f_i = 40$

$\bar{x} = \frac{499}{40}$

Step 4: Final Calculation.

$\bar{x} = 12.475$

Final Answer: The mean number of days a student was absent is 12.475 days.


More Questions from Class 10 Mathematics Statistics EXERCISE 13.1


CBSE Solutions for Class 10 Mathematics Statistics


Chapters in CBSE - Class 10 Mathematics


Top Tutors who teach Statistics

(18)
Top Tutor
locationImg Nehru Nagar, Belgaum
experience 2 yrs of Exp students 9 students
greenClock 189 hrs of classes completed
rsIcon 260 per hour
Mechanical Engineer with 2 yrs of experience.
Online Classes Online Classes

I teach Mathematics to students from Class 7 to Class 10, with 3 years of teaching experience. My focus is on helping students build strong conceptual understanding and develop effective problem-solving skills to excel academically. I have completed my 2nd PUC (Pre-University Course), a Bachelor of Engineering (B.E.) from Visveswaraya Technological University in 2020, and a Bachelor of Education (B.Ed.) from Indira Gandhi National Open University in 2022. I have also completed a program with Cambridge Learning Resources, which has enhanced my teaching techniques and ability to engage students effectively. Over the years, I have guided students to improve their Mathematics understanding and performance, helping them gain confidence in handling both basic and complex problems. My teaching approach emphasizes clarity, practice, and logical reasoning to ensure steady improvement. I have also earned an RPA (Robotic Process Automation) certification in robotics, which reflects my technical skills and commitment to continuous learning. I often incorporate logical thinking and problem-solving strategies inspired by this training into my lessons. I prefer to conduct online classes, offering flexibility in timing and easy access for students. I teach both individual and small group sessions, allowing personalized attention and interactive learning experiences for every student. My classes are interactive, using motivational videos, personal digital pads, and other digital tools to make learning engaging and effective. These resources help students visualize concepts better and retain knowledge more efficiently. I provide custom-prepared notes to support student learning and revision. My ultimate goal is to make Mathematics understandable, enjoyable, and confidence-building, enabling every student to perform at their best and develop a strong foundation for future studies.

Sunitha

This guy is too good at his teaching. He explains the concepts very clear, gets to know about the students, gives his own ideas, own methods, and also gives good advices. He is excellent to consider. I just like him!, he is a great tutor and price is reasonably good.

Skills: Mathematics
Also teaches: Class 8 Tuition, Class 9 Tuition and more

(8)
Top Tutor
locationImg Anna Nagar Western Extn, Chennai
experience 7 yrs of Exp students 3 students
greenClock 58 hrs of classes completed
rsIcon 500 per hour
Mathematics class for school students 6 year experience m.sc,b ed
homeTutions Student's Home
regularClasses Tutor's home

I am an experienced, qualified teacher and tutor with over 6 years of experience in teaching Maths across different boards including CBSE, ICSE, IGCSE and State Board. Passionate about solving mathematical problems. over the years I have helped hundred of students overcome their fear of Maths. I am a post graduates in mathematics and under graduates in education. We are available on both home tuition and online We have lot of success stories.

Skills: Mathematics
Also teaches: Class 8 Tuition, Class 9 Tuition and more

(23)
Top Tutor
locationImg Sector 31 31C, Chandigarh
experience 7 yrs of Exp students 28 students
Experience of teaching iitans and neet students
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

I have been teaching for seven years. . I am teaching maths for cbse, icse,IB (international baccalaureate)' usa and uk (precalculus, AP calculus, algebra) acdamic students up to 12 grade and students preparing for SAT, OLYMPIAD, engineering and IIT ENTRANCE . Besides this I am also teaching Physics and Chemistry. I love teaching. I have excellent communication skills, a good understanding of concepts, ability to motivate students. Since every student has a different understanding level so for me its essential to know in what way students will understand and to explain them quickly. I also like to help in teaching someone who is financially weak to get an education. I can assure you to give 100% results. I will give you free demo classes and Pay me only when you will be completely satisfied with my teaching. I am btech from IIT Delhi Now I am full time in teaching

Skills: English , Mathematics and more
Also teaches: Class 6 Tuition, Class 7 Tuition and more

(50)
Top Tutor
locationImg Chinsurah R S, Hooghly
experience 15 yrs of Exp students 7 students
greenClock 987 hrs of classes completed
rsIcon 350 per hour
Mahakali Pathsala
Online Classes Online Classes
regularClasses Tutor's home

I've taught at least 150 students of this Class till date ....online/offline together.

Skills: Mathematics , Science
Also teaches: Class 9 Tuition, Meditation and more

(63)
Top Tutor
locationImg Mahabubnagar, Mahabubnagar
experience 9 yrs of Exp students 2 students
greenClock 524 hrs of classes completed
rsIcon 400 per hour
Mathematics Tutor with 10 years of experience
Online Classes Online Classes
regularClasses Tutor's home

I am a B.Tech graduate. I completed my graduation in 2007. Because of passion for Teaching I entered in Teaching field. I have been teaching since 2014 in school/institute and at my home. I can teach mathematics and physical science subjects for 8, 9, 10 classes. I can make the students to understand the subject easily by taking relevant examples. This is my skill. I am passionate and dedicated.

Bhavani Shankar

I recently used UrbanPro to find a tutor for my child and was thoroughly impressed. The website is user-friendly and easy to navigate. I was able to search for tutors based on location, subject, and experience level. The profiles of the tutors were detailed, providing information about their qualifications, teaching style, and reviews from previous students. This helped me make an informed decision. Once I found a suitable tutor, the booking process was straightforward. The tutor was punctual and professional. They tailored their lessons to my child's needs and made learning enjoyable. Overall, I would highly recommend UrbanPro to anyone looking for quality services in areas like tutoring, beauty, home services, and more.

Skills: Mathematics
Also teaches: Class 8 Tuition, Class 9 Tuition and more

Find more Tutor for Statistics in your City


Other Subjects in CBSE - Class 10

Worksheet Icon

Download free CBSE - Class 10 Mathematics Statistics EXERCISE 13.1 worksheets

Download Now

Find Best Class 10 Tuition ?

Find Now »