Find the median of the sequence ^{2n}C_0, ^{2 | vedclass

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(B) The sequence is $^{2n}C_0, ^{2n}C_1, ^{2n}C_2, \dots, ^{2n}C_n$.The number of terms in the sequence is $n + 1$.Since $n$ is even,$n + 1$ is odd.Th

Vedclass · Accepted Answer

$^{2n}C_{\frac{n}{2}}$

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(B) The sequence is $^{2n}C_0, ^{2n}C_1, ^{2n}C_2, \dots, ^{2n}C_n$.The number of terms in the sequence is $n + 1$.Since $n$ is even,$n + 1$ is odd.The median of a sequence with an odd number of terms $N$ is the term at position $\frac{N+1}{2}$.Here,$N = n + 1$,so the median is the term at position $\frac{(n+1)+1}{2} = \frac{n+2}{2} = \frac{n}{2} + 1$.The term at position $\frac{n}{2} + 1$ in the sequence $^{2n}C_0, ^{2n}C_1, \dots, ^{2n}C_n$ is $^{2n}C_{n/2}$.

Marks obtained	No. of students
$0-10$	$2$
$10-20$	$18$
$20-30$	$30$
$30-40$	$45$
$40-50$	$35$
$50-60$	$20$
$60-70$	$6$
$70-80$	$3$

Find the median of the sequence $^{2n}C_0, ^{2n}C_1, ^{2n}C_2, \dots, ^{2n}C_n$ (where $n$ is even).

Similar Questions

Compute the median from the following table:

Marks obtained No. of students

$0-10$ $2$

$10-20$ $18$

$20-30$ $30$

$30-40$ $45$

$40-50$ $35$

$50-60$ $20$

$60-70$ $6$

$70-80$ $3$

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The mean and the median of the following ten numbers in increasing order $10, 22, 26, 29, 34, x, 42, 67, 70, y$ are $42$ and $35$ respectively. Then,$\frac{y}{x}$ is equal to:

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