For a distribution $x_1, x_2, \dots, x_{101}$ such that $x_1 < x_2 < x_3 < \dots < x_{100} < x_{101}$,the mean deviation of this distribution about a number $k$ is minimum. Then $k$ is equal to which of the following?
- A$x_1$
- B$x_{51}$
- C$x_{50}$
- D$\frac{x_1 + x_2 + \dots + x_{101}}{101}$
Explore More
Similar Questions
The mean marks of $100$ students in a class in mathematics is $72$. If the number of boys is $70$ and their mean marks is $75$,find the mean marks of the girls in the class.
Medium
View SolutionFind the arithmetic mean of the following frequency distribution.
$x_i$ $5$ $8$ $11$ $14$ $17$ $f_i$ $4$ $5$ $6$ $10$ $20$
| $x_i$ | $5$ | $8$ | $11$ | $14$ | $17$ |
| $f_i$ | $4$ | $5$ | $6$ | $10$ | $20$ |
Medium
View SolutionIf the mean of the numbers $27, 31, 89, 107, 156$ is $82$,what is the mean of the numbers $130, 126, 68, 50, 1$?
Easy
View SolutionThe upper quartile for the following distribution is given by the size of:
Size of Item $1$ $2$ $3$ $4$ $5$ $6$ $7$ Frequency $2$ $4$ $5$ $8$ $7$ $3$ $2$
| Size of Item | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ |
| Frequency | $2$ | $4$ | $5$ | $8$ | $7$ | $3$ | $2$ |
The median of a set of $19$ observations is $30$. If two observations with values $8$ and $32$ are added,what is the median of the new set of $21$ observations?
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo