What are the properties of Arithmetic mean?

Asked by Last Modified  

7 Answers

Learn Mathematics +1

Follow 2
Answer

Please enter your answer

M. srinivasa Reddy

Tutor.

AM = SUM OF ALL OBSERVATION/TOTAL NO. OF OBSERVATION. A.M = (X1+X2+X3+X4+X5+...........+Xn)/n px1, px2, px3 for this mean.
Comments
Dislike Bookmark

Teacher

Properties of Mean: 1. If X is the arithmetic mean of n observations x1, x2, x3, . . xn; then (x1 - X) + (x2 - X) + (x3 - X) + ... + (xn - X) = 0. 2. The mean of n observations x1, x2, . . ., xn is X. If each observation is increased /decreased by p, the mean of the new observations is (X+ p). 3....
read more
Properties of Mean: 1. If X is the arithmetic mean of n observations x1, x2, x3, . . xn; then (x1 - X) + (x2 - X) + (x3 - X) + ... + (xn - X) = 0. 2. The mean of n observations x1, x2, . . ., xn is X. If each observation is increased /decreased by p, the mean of the new observations is (X+ p). 3. The mean of n observations x1, x2, . . .,xn is X. If each observation is multiplied by a nonzero number p, the mean of the new observations is pX. 4. The mean of n observations x1, x2, . . ., xn is X. If each observation is divided by a nonzero number p, the mean of the new observations is (X/p). read less
Comments
Dislike Bookmark

English Language Expert

There are several properties of Arithmetic mean. Some of them include:- The sum of the deviations of the items taken from their arithmetic mean is zero. The sum of the squares of the deviations of the items taken from arithmetic mean is minimum. I am unable to incorporate formulas in this c...
Comments
Dislike Bookmark

An Experienced Trainer

For n observations: x1, x2, x3, ..., xn; Arithmetic mean = (x1+x2+x3+...+xn)/n=(Sum of n observations) / (number of observations).
Comments
Dislike Bookmark

10 years Experience in teaching

The sum of the deviations, of all the values of x, from their arithmetic mean, is zero. The product of the arithmetic mean and the number of items gives the total of all items.
Comments
Dislike Bookmark

Dedicated Teacher With Lots of Teaching Experience In Maths For All Boards

1. The sum of the deviations, of all the values of x, from their arithmetic mean, is zero. 2.The product of the arithmetic mean and the number of items gives the total of all items. 3. If each observation is increased by p, then the new mean = bar x + p 4. If each observation is decreased by p, then...
read more
1. The sum of the deviations, of all the values of x, from their arithmetic mean, is zero. 2.The product of the arithmetic mean and the number of items gives the total of all items. 3. If each observation is increased by p, then the new mean = bar x + p 4. If each observation is decreased by p, then the new mean - bar x - p etc read less
Comments
Dislike Bookmark

JU-IITKGP & 10+ years experienced for boards, JEE,NEET,OLYMPIAD & 5-12

Arithmetic mean = (x1+x2+x3+...+xn)/n=(Sum of n observations) / (number of observations).
Comments
Dislike Bookmark

View 5 more Answers

Related Questions

Consider ?ACB, right-angled at C, in which AB = 29 units, BC = 21 units and ?ABC = ?. Determine the values of i. cos 2? + sin2?, ii. cos2? – sin2?.
For right angle triangle use pythagorous theorem (AC)^2 = (AB)^2 + (BC)2 PUT value of all find answer
Renu
What books should be preferred by us in 10th board exam?
I prefer S.Chand for science & for 10th board question practice I advise you to continue with NCERT books. For Maths R.D. Sharma is the best alternative as it contains lots of variety of question with...
Sarvesh
What's the best book on abstract algebra?
1)"Abstract Algebra" by David S. Dummit and Richard M. Foote. 2)"Contemporary Abstract Algebra" by Joseph Gallian. 3)"Algebra" by Michael Artin.
Nazia
0 0
8
A man buys a cycle for Rs 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Loss = Loss%/100 * CP = (15/100) * 1400 = 210 SP = CP - Loss = 1400 - 210 = 1190
Shubham
how change profile from learner to tutor?
You will have to make a profile selecting yourself as a tutor and you should be ready to go.
Allauddin

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Class-10 L-5 Arithmetic Progressions Ex-5.3 Q3 (ix)

Ashish bhatia

0 0
0
Statistics Made Easy: Mean, Median, Mode

Azumthulla Gilledmanda

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q12

Ashish bhatia

0 0
0
Class-10 L-3 Pair of Linear Equations in two Variables Ex 3.2 Q2

Ashish bhatia

0 0
0
Class-10 L-4 Quadratic Equations Ex-4.1 Q1 (i)(ii)

Ashish bhatia

0 0
0

Recommended Articles

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Chennai
Class 10 Tuition in Mumbai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Gurgaon
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you