Question

find the median from the following data class interval 40-45,45-50,50-55,55-60,60-65,65-70,70-75 frequency 2,3,8,6,6,3,2​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

median of the given data is 56.6

Step-by-step explanation:

class interval   frequency(f)   c.f(cumulative frequency)

40-45               2                     2

45-50               3                     5

50-55               8                     13

55-60               6                    19

60-65               6                    25

65-70               3                    28

70-75               2                     30

median= $l+ \frac{h}{f} (\frac{N}{2} -c)$

where, l is the lower limit of the median class

f is the frequency of the median class

h is the magnitude of the median class

c is the c.f of the class preceding the median class

Here, N/2 = 30/2 = 15

cumulative frequency just greater than 15 is 19

corresponding class is 55-60

thus median class= 55-60

l= 55, h= 5, f=6, c=13

using the formula we get median = 55+ 5/6(15- 13)

=55+( 5*2)/6

=55+ 1.6

⇒median = 56.6

therefore, the median of the given data is 56.6