Paper 4: Fundamentals of Business Mathematics & Statistic

5.64 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS

Measures of Central Tendency and Measures of Dispersion

6. Find M.D. about A.M. of the table given below :
   x f
   2 1
   4 4
   6 6
   8 4
   10 1
   Find also coefficient of mean dispersion. [Ans. 2.3125, 0.420]


7. From the following table find coefficient of mean dispersion about :
   (i) A.M., (ii) Median.
   Marks Frequency
   10 8
   15 12
   20 15
   30 10
   40 3
   50 2 [Ans. (i) 0.363, (ii) 0.36]


8. From the following frequency distribution find M.D. about median :
   C.I. f
   2–4 3
   4–6 4
   6–8 2
   8–10 1 [Ans. 1.4]


9. Find M.D. about A.M. of the table :–
   Weight (lb) Students
   95–105 20
   105–115 26
   115–125 38
   125–135 16
   [Ans. 8.6 lbs]
   (C) Regarding STANDARD DEVIATION :


10. Calculate standard deviation of the following numbers :
    (i) 9, 7, 5, 11, 3 [Ans. 2.83]
    (ii) 1, 2, 3, 4, 5 [Ans. 1,414]