Question

the table below shows the salaries of 280 persons:salary 5-10,10-15,15-20,20-25,25-30, 30-35,35-40,40-45,45-50 no.of people:49,133,63,15,6,15,6,7,4,2,1 find the median salary of the data

Answer 1

Refer the attachment.

Answer 2

Answer:

Step-by-step explanation:

SOLUTION IS IN THE ATTACHMENT.

Median:

Median is that value of the given observation which divides it into exactly two parts.

MEDIAN for the GROUPED data :

For this we find the Cumulative frequency(cf) of all the classes and n/2 , where n = number of observations.

Now find the class whose Cumulative frequency is greater than and nearest to n/2 and this class is called median class,then use the following formula calculating the median.

MEDIAN = l + [(n/2 - cf )/f ] ×h

Where,

l = lower limit of the median class

n = number of observations

cf = cumulative frequency of class interval preceding the median class

f = frequency of median class

h = class size

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