What is the median class for the following data?

50.5 - 60.5

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60.5 - 70.5

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61 - 70

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71 - 80

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Solution

The correct option is B $60.5 - 70.5$
To find the median class:
First add the total number of frequencies.
Here, $f = 100$
$=$ $\frac{T o t a l n u m b e r o f f r e q u e n c y}{2}$
$=$ $\frac{100}{2} = 50$
Hence, the value 50 lies in the class interval 60.5-70.5 from the cummulative frequency table.

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The frequency polygon which represents the following given data is

$\begin{matrix} W e i g h t (k g) & N u m b e r O f S t u d e n t s 35.5 - 40.5 & 5 40.5 - 45.5 & 2 45.5 - 50.5 & 12 50.5 - 55.5 & 2 55.5 - 60.5 & 45 \end{matrix}$

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$\begin{matrix} Weight (kg) & Number of students 35.5 - 40.5 & 4 40.5 - 45.5 & 15 45.5 - 50.5 & 12 50.5 - 55.5 & 13 55.5 - 60.5 & 6 \end{matrix}$
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Q. The width of the class

55.5 - 60.5

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$\begin{matrix} W e i g h t (k g) & N u m b e r o f s t u d e n t s 35.5 - 40.5 & 4 40.5 - 45.5 & 15 45.5 - 50.5 & 12 50.5 - 55.5 & 13 55.5 - 60.5 & 6 \end{matrix}$
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What is the median class for the following data?

The correct option is B 60.5−70.5To find the median class:First add the total number of frequencies.Here, f=100 = Total number of frequency2 = 1002=50 Hence, the value 50 lies in the class interval 60.5-70.5 from the cummulative frequency table.