Find the median term of the following cumulative frequency distribution- Wline x - frequency - Cumulative frequency Wline22 - 1 - 1 hine34 - 2 - 3 1Wline39 - 2 - 511hine45 - 8 - 13 1Wline54 - 8 - 2111hline56 - 9 - 30 1Wline68 - 4 - 34 1Wline78 - 4 - 38 1hline84 - 2 - 40 1Wlinelend array A- 49-5B- 53-5C- 54D- 55

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Standard XI

Statistics

Median of Discrete Series

Find the medi...

Question

Find the median term of the following cumulative frequency distribution:
$\begin{matrix} x & f r e q u e n c y & C u m u l a t i v e f r e q u e n c y 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}$

49.5

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53.5

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Solution

The correct option is C 54
Here, the sum of frequencies, n = 40, which is even.
So, the median terms will be the $\frac{n}{2} t h$ and the $(\frac{n}{2} + 1) t h$ observations, i.e. the 20th and the 21st observations.
Both the 20th and the 21st observations are 54.
So, the median term will be 54.

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Find the median of the following cumulative frequency distribution:
$\begin{matrix} x & frequency & Cumulative frequency 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}$

Q. Find the mean deviaion about median for the following cumulative frequency distribution:

\begin{matrix} x & f r e q u e n c y & C u m u l a t i v e f r e q u e n c y 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}

Q. Find the quartile deviation of the following cumulative frequency distribution:

\begin{matrix} x & f r e q u e n c y & C u m u l a t i v e f r e q u e n c y 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}

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\begin{matrix} x & f r e q u e n c y & C u m u l a t i v e f r e q u e n c y 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}

Find the coefficient of mean deviation about median for the following cumulative frequency distribution:

$\begin{matrix} x & frequency & Cumulative frequency 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}$

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Find the median term of the following cumulative frequency distribution: xfrequencyCumulative frequency221134233925458135482156930684347843884240

The correct option is C 54Here, the sum of frequencies, n = 40, which is even. So, the median terms will be the n2th and the (n2+1)th observations, i.e. the 20th and the 21st observations. Both the 20th and the 21st observations are 54. So, the median term will be 54.

Find the median term of the following cumulative frequency distribution:
$\begin{matrix} x & f r e q u e n c y & C u m u l a t i v e f r e q u e n c y 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}$

The correct option is C 54
Here, the sum of frequencies, n = 40, which is even.
So, the median terms will be the $\frac{n}{2} t h$ and the $(\frac{n}{2} + 1) t h$ observations, i.e. the 20th and the 21st observations.
Both the 20th and the 21st observations are 54.
So, the median term will be 54.