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

The following data gives the distribution of height of students. The median of the distribution is:
Height (in $cm$) $160$ $150$ $152$ $161$ $156$ $154$ $155$
No of students $12$ $8$ $4$ $4$ $3$ $3$ $7$

The mean of the first three terms is $14$ and the mean of the next two terms is $18$. What is the mean of all five terms?

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 Solution

The median of a set of $9$ distinct observations is $20.5$. If each of the largest $4$ observations of the set is increased by $2$,then the median of the new set:

If the arithmetic mean of the numbers $x_1, x_2, x_3, ..., x_n$ is $\bar{x}$,then the arithmetic mean of the numbers $ax_1 + b, ax_2 + b, ax_3 + b, ..., ax_n + b$,where $a$ and $b$ are two constants,would be:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo