statistics

CPT 4673 views 1 replies

student

79 Points Joined April 2010

the median and modal profits for the following data

profit in 000 rs. below 5 below 10 below 15 below 20 below 25 below 30

no. of firms 10 25 45 55 62 65

answer:

i) 11.60 and 11.50

ii) 11556 and 11267

iii) 11875 and 11667

iv) 11.50 and 11.67

Replies (1)

60 Points Joined August 2008

First convert the cumulative less than type frequency distribution into a simple continuous frequency distribution as follows

0 - 5 : 10, 5 - 10 : 15, 10 - 15 : 20, 15 -20 : 10, 20 - 25 : 7, 25 - 30 : 7

Then calculate the median class which is 10 - 15, then apply the formula of median based on interpolation as given below :

Md = L + (N/2 - C.F.) / F x i = 11.875 ( in thousands)

Mo = L + (F1 - F0) / (2F1 - F0 - F2) x i = 11.666 ( in thousands)

Hence option iii is correct

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