Find the median class for the below distribution- Class Cumulative frequency- 10-20 3- 20-30 17- 30-40 24- 40-50 33- 50-60 51- -

From above cumulative frequency distribution, we can see that the total number of observations n = 51. n/2 = 25.5 The cumulative frequency closest to and aboven ...

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Standard X

Mathematics

Finding Median for Grouped Data When Class Intervals Are Given

Find the medi...

Question

Find the median class for the below distribution.
$\begin{matrix} C l a s s & C u m u l a t i v e f r e q u e n c y 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$

20-30

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30-40

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40-50

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50-60

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Solution

The correct option is C 40-50
From above cumulative frequency distribution, we can see that the total number of observations n = 51.
$\frac{n}{2} = 25.5$
The cumulative frequency closest to and above $\frac{n}{2}$ is 33. The class corresponding to this frequency is 40-50.
Thus the median class is 40-50.

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Similar questions

Find the median class for the below distribution.
$\begin{matrix} Class & Cumulative frequency 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$

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

Find the median term 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. Median class of a frequency distribution is 89.5-99.5. If number of observation is 98 and cumulative frequency preceding the median class is 40, find the frequency of median class given that median is 92.5.

Q. For the given frequency distribution match the column -I with Column-II.

Class	30-35	35-40	40-45	45-50	50-55	55-60	60-65
Frequency	14	16	18	23	18	8	3

=

width of the class interval c

=

cumulative frequency
f

=

frequency of the class interval to which median belongs

l_{1} =

lower limit of the median class interval

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Find the median class for the below distribution. ClassCumulative frequency10−20320−301730−402440−503350−6051

The correct option is C 40-50From above cumulative frequency distribution, we can see that the total number of observations n = 51. n2=25.5 The cumulative frequency closest to and aboven2 is 33. The class corresponding to this frequency is 40-50. Thus the median class is 40-50.

Find the median class for the below distribution.
$\begin{matrix} C l a s s & C u m u l a t i v e f r e q u e n c y 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$