Question

find the median of the following data:- Mark's- 30,35,40,45,25,70,20,60,90,15,80 frequency- 5,4,7,6,12,8,10,4,8,8,6.​

Answer 1

Answer:

We arrange tke marks like below,

15 20 25 30 35 40 45 60 70 80 90

So the median of the following data is 40.

Again we arrange the frequenc like below,

4 4 5 6 6 7 8 8 8 10 12

So the median of the following frequency is 7.

Answer 2

Answer:

The median of the given data is 37.5

Step-by-step explanation:

Given the data of marks and the frequency.

Median is defined as the mid value of a data of observations.

To find the median, the data can be arranged in ascending or descending order.

Arranging them in a frequency table,

$\left|\begin{array}{c|c|c}\mbox{Marks}&\mbox{frequency}&\mbox{Cumulative frequency}\\15&8&8\\20&10&18\\25&12&30\\30&5&35\\35&4&39\\40&7&46\\45&6&52\\60&4&56\\70&8&64\\80&6&70\\90&8&78\end{array}\right|$

There are in total 78 observations, which is an even number.

Therefore, the median of the given data is the arithmetic mean of

$\bigg(\dfrac{78}{2} \bigg)^{th}$ and $\bigg(\dfrac{78}{2} +1\bigg)^{th}$observation points.

i.e., 39th and 40th observation points.

And the scores at that points are 35 and 40.

The arithmetic mean of 35 and 40 is

$\dfrac{35 + 40}{2} =\dfrac{75}{2} =37.5$

So, the median of the given data is 37.5

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