Paper 4: Fundamentals of Business Mathematics & Statistic

5.66 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS

Measures of Central Tendency and Measures of Dispersion

(ii) Marks Students

0–10 5

10–20 8

20–30 15

30–40 16

40–50 6 [Ans. 10.77 marks]

14. Find the coefficient of variation of numbers : 1, 2, 3, 4, 5. [Ans. 47.13%]


15. Marks Students
    10 8
    20 12
    30 20
    40 10
    50 7
    60 3
    Find coefficient of variation. [Ans. 64.81%]


16. Run-scores in 10 innings of two cricketers are as follows :
    A B
    31 19
    28 31
    47 48
    63 53
    71 67
    39 90
    10 10
    60 62
    96 40
    14 80
    Find which batsman is more consistent in scoring. [Ans. Batsman B]


17. The A.M.’s of two samples of sizes of 60 are 90are respectively 52 and 48, the s.d. are 9 and 12. Obtain
    the mean and s.d. of the sample of size 150 obtained by combining the two samples.
    [Ans. 49.6, 11.1]


18. The first of two samples has 100 items with mean 15 and s.d. 3. If the whole group has 250 items with
    mean 15.6 and s.d. 13.44,find the s.d. of the second group. [Ans. 4]