Class 7 Exam  >  Class 7 Questions  >  1. If the mean of n observations x1,x2,x3....... Start Learning for Free
1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0.
2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is
(x¯ + p).
3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is
(x¯ − p).
4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯.
5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words?
Most Upvoted Answer
1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯...
Understanding Mean and Its Properties
Mean is a fundamental concept in statistics, representing the average of a set of numbers. Let's explore some important properties of the mean.
1. Sum of Deviations from the Mean
- The mean of n observations (x1, x2, x3, ..., xn) is represented as x̄.
- The expression x1 - x̄ + x2 - x̄ + ... + xn - x̄ equals zero.
- This means that when you add up how far each observation is from the mean, the total deviation is zero.
2. Adding a Constant to Each Observation
- If you add a constant value (p) to each observation (x1, x2, ..., xn), the new mean becomes x̄ + p.
- This shows that the mean shifts upward by the value of p.
3. Subtracting a Constant from Each Observation
- If you subtract a constant value (p) from each observation, the new mean is x̄ - p.
- This indicates that the mean shifts downward by the value of p.
4. Multiplying Each Observation by a Constant
- If you multiply each observation by a constant (p), the new mean is px̄.
- This demonstrates that multiplying each value scales the mean by the same factor.
5. Multiplying Each Observation by a Variable
- If you multiply each observation by a variable (p) that varies for each observation, the new mean is x̄p.
- This shows that the mean can also depend on how the variable interacts with the observations.
Understanding these properties helps in analyzing data and making meaningful interpretations in statistics!
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Question Description
1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words?.
Solutions for 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? defined & explained in the simplest way possible. Besides giving the explanation of 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words?, a detailed solution for 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? has been provided alongside types of 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? theory, EduRev gives you an ample number of questions to practice 1. If the mean of n observations x1,x2,x3....xn is x¯ then x1-x¯+x2-x¯+x3-x¯+...+xn-x¯=0. 2. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1+p, x2+p, x3+p, ..., xn+p is (x¯ + p). 3. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1-p, x2-p, x3-p, ..., xn-p is (x¯ − p). 4. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of px1, px2, px3, ..., pxn is px¯. 5. If the mean of n observations x1,x2,x3....xn is x¯ then the mean of x1p, x2p, x3p, ..., xnp is x¯p. Explain in simple words? tests, examples and also practice Class 7 tests.
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