Question

The table shows the salaries of 280 persons:

salary ( in thousand ) | no. of persons
5-10                                 49
10-15                               133
15-20                                63
20-25                                15
25-30                                 6
30-35                                 7
35-40                                  4
40-45                                  2
45-50                                  1

Calculate the median salary of the data

Answer 1

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

HOPE THIS WILL HELP YOU..

Answer 2

Answer:

Step-by-step explanation:

Arrangement of daigram as shown in figure ,

Here , N = 280

∴N/2 = 280/2 = 140 , it is less than 182 hence, we consider 182 cumulative frequency { CF } . In diagram it is cleared by red circle .

∴ F = 49, f = 133 , l = 10 , h = (15 - 10) = 5 and CF = 49

Now, use the formula ,

so, median = 10 + (140 - 49)/133 × 5

= 10 + 91 × 5/133

= 10 + 3.42 = 13.42

Hence, median = 13.42

Hope It was helpful to you

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