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]
- 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] - 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 - What is the sum of deviations of a variates from their A.M.? [Ans. zero]
- Write the relation of AM. G.M. and H.M. [Ans. AM ³ G.M ³ H.M]
- For a pair of variates, write the relation of AM. G.M and H.M [Ans. (GM)^2 = AM × H.M]
- Write the emperical relation of mean, median and mode. [Ans. Mean-mode = 3 (Mean – median)]
- In case of open end class intervals frequency distribution to calculate average, which is most appropriate
average? [Ans. Median]