If $\bar{X}_1$ and $\bar{X}_2$ are the means of two series such that $\bar{X}_1 < \bar{X}_2$,and $\bar{X}$ is the combined mean of the two series,then which of the following is true?
- A$\bar{X} < \bar{X}_1$
- B$\bar{X} > \bar{X}_2$
- C$\bar{X}_1 < \bar{X} < \bar{X}_2$
- D$\bar{X} = \frac{\bar{X}_1 + \bar{X}_2}{2}$
Explore More
Similar Questions
If the mean of $n$ observations $1^2, 2^2, 3^2, \dots, n^2$ is $\frac{46n}{11}$,then what is the value of $n$?
Difficult
View SolutionIf for some positive $x \in R$,the frequency distribution of the marks obtained by $20$ students in a certain test is as follows:
Marks $2$ $3$ $5$ $7$ Frequency $(x+1)^2$ $2x-5$ $x^2-3x$ $x$
Then the mean of the marks is:
| Marks | $2$ | $3$ | $5$ | $7$ |
|---|---|---|---|---|
| Frequency | $(x+1)^2$ | $2x-5$ | $x^2-3x$ | $x$ |
Then the mean of the marks is:
The number of observations in a group is $40$. If the average of the first $10$ observations is $4.5$ and the average of the remaining $30$ observations is $3.5$,then the average of the whole group is:
Medium
View SolutionThe relation between the median $M$,the second quartile ${Q_2}$,the fifth decile ${D_5}$,and the $50^{th}$ percentile ${P_{50}}$ of a set of observations is:
The mean of the values $\sin^2 10^{\circ}, \sin^2 20^{\circ}, \sin^2 30^{\circ}, \ldots, \sin^2 90^{\circ}$ is $........$
Vedclass 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