Paper 4: Fundamentals of Business Mathematics & Statistic

5.40 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS

Measures of Central Tendency and Measures of Dispersion

(ii)

Score Frequency

25–30 3

30–35 5

35–40 6

40–45 10

45–50 9 [Ans. ` 44]

6. Calculate mode of the distribution given below :
   (i) Marks No. of students
   less than 10 5
   less than 20 9
   less than 30 15
   less than 40 18
   less than 50 20
   (ii) Wages No. of
   workers
   0 and above 50
   20 and above 45
   40 and above 34
   60 and above 16
   80 and above 6
   100 and above 0 [Ans. (i) 24 marks, (ii) ` 49.33]


7. Daily wages of 100 worker are given in the table :
   Daily Wages (`) No. of workers
   2–3 5
   4–5 8
   6–7 12
   8–9 10
   10–11 7
   Compute the modal value.
   OBJECTIVE QUESTIONS


8. What is the sum of deviations of a variates from their A.M.? [Ans. zero]


9. Write the relation of AM. G.M. and H.M. [Ans. AM ³ G.M ³ H.M]


10. For a pair of variates, write the relation of AM. G.M and H.M [Ans. (GM)^2 = AM × H.M]


11. Write the emperical relation of mean, median and mode. [Ans. Mean-mode = 3 (Mean – median)]


12. In case of open end class intervals frequency distribution to calculate average, which is most appropriate
    average? [Ans. Median]