FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 5.67
OBJECTIVE QUESTIONS :
- Find the range of 6, 18, 17, 15, 14 [Ans. 12]
- Find Mean Deviation (M.D.) of 4, 8, 12 (cm) about A.M. [Ans. 2.67 cm]
- Find M.D. about median of 4, 8, 10 (kg) [Ans. 2 kg.]
- Find S.D. of (i) 2, 5, 8 (ii) 2, 6 [Ans. (i) 6 (ii) 2]
- Find variance of 2, 5, 8 [Ans. 6]
- Find S.D. from the given data : n = 10, Σx = 40, Σx^2 = 250 [Ans. 3]
- If n = 10, Σx = 120, Σx^2 = 1690 ; find s.d. [Ans. 5]
- If variance = 16, A.M. = 50, find coefficient of variation [Ans. 8%]
- Find variance of x, if it’s A.M. is 6 and coefficient of variation is 50%. [Ans. 9]
- Find mean, if c.v. = 5% and variance = 4 [Ans. 40]
- Coefficient of variation of a distribution is 25%, it it means what?
[Ans. s.d. is 25% of A.M.]
- If each term of variates is increased by 2, what will be the effect on (i) A.M. (ii) range and (iii) s.d.
[Ans. (i) increased by 2, (ii) & (iii) no change]
- If each item is doubled what will be effect on
(i) A.M. (ii) Range (iii) s.d. [Ans. (i), (ii) & (iii) doubled]
- Two variables x and y are related by y = 4x – 7. If s.d. of x is 2, find s.d. of y [Ans. 8]
- Two variates x and y are given by y = 2 – 3x, s.d. of x is 2, find s.d. of y [Ans. 6]
- Compute s.d. of 6 numbers 7, 7, 7, 9, 9, 9. [Ans. 1]
- Compute M.D. of 6 numbers 4, 4, 4, 6, 6, 6 [Ans. 1]
- Means and S.D. of runs of 10 innings of two players are as follows :
First player : mean = 50, s.d. = 4
Second player, mean = 40, s.d. = 5
Find who is more consistent in scoring runs?
[Ans. First player]
