Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Statistics

NDA 2021 · Mathematics · Statistics

If M is the mean of n observations x_1-k, x_2-k, x_3-k , , x_n-k ,...

If MM is the mean of nn observations x1−k,x2−k,x3−kx_1-k, x_2-k, x_3-k, …,xn−k\ldots, x_n-k, where kk is any real number, then what is the mean of x1,x2,x3,…,xnx_1, x_2, x_3, \ldots, x_n ?

Options

  1. AMM
  2. BM+kM+k
  3. CM−kM-k
  4. DkMk M

Correct answer

B. M+kM+k

Step-by-step solution

M=∑i=1n(xi−k)nM=\frac{\sum_{i=1}^n\left(x_i-k\right)}{n}M+K=∑i=1nxin&∴ Mean =M+K\begin{aligned}& M+K=\frac{\sum_{i=1}^n x_i}{n} \& \therefore \quad \text{ Mean }=M+K\end{aligned}$$
Practice Statistics on Quantrex Academy →

More from Statistics

Let two lines of regression be x+y+11=0 and 2x+3y+4=0 for some data. What is the value of… NDA 2026Passage: The frequency distribution of marks obtained by 100 students in a certain… NDA 2026The standard deviation of 100 observations is 10 . If 5 is multiplied to each of the… NDA 2026Passage: The frequency distribution of marks obtained by 100 students in a certain… NDA 2026If the mean of 20 observations, namely x_1,x_2,x_3,…,x_ 20 is 1·414 , then what is the… NDA 2026If the random variable X has mean 3 and standard deviation 5 , then what is the variance… NDA 2026The standard deviation of 100 observations is 10. If 20 is added to each observation… NDA 2025Consider the following statements: I. Mean and variance have the same unit of… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025Consider the following for the two (02) items that follow: The sum and the sum of squares… NDA 2025The arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation… NDA 2025The standard deviation of 100 observations is 10. If 5 is added to each observation and… NDA 2025Consider the following for the two (02) items that follow: The sum and the sum of squares… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025The frequency distribution of the marks obtained by students in a Science examination is… NDA 2025 Full Statistics list Statistics JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs