Find the median class for the below distribution-50 - 33 Whline 50-60 - 51 Whline lend array

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Finding median for Grouped Data when class Intervals are given

Find the medi...

Question

Find the median class for the below distribution.

$\begin{matrix} C l a s s & C u m u l a t i v e I n t e r v a l & F r e q u e n c y 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$

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 that is greater than 25.5 but closest to 25.5 is 33.
The class corresponding to this frequency is 40-50.

Thus. the median class is 40-50.

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Find the median class for the below distribution. Class CumulativeInterval Frequency10−20320−301730−402440−503350−6051

Find the median class for the below distribution.

$\begin{matrix} C l a s s & C u m u l a t i v e I n t e r v a l & F r e q u e n c y 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$