Unit-7:
(a)Permutation and combination, probability
(b)Inequalities
(c)Statistical description of data
(d)Measurement of central tendency
(e)Mesurement of dispersion
Q1.
In how many ways 6 person can sit in a round table.
(a) 90 (b) 60 (c) `140 (d) 120
Solution.
(n - 1)! = (6 - 1)! = 5! = 120
Solution
Q2.
A set of 12 points 6 are collinear find the total number of straight lines.
(a) 63 (b) 91 (c) 40 (d) 120
Solution.
(b) 91
= 12c2 - 6c2 + 1
Solution
Q3.
Two dice are thrown simultaneously, find the probability of getting the sum as a prime number.
(a) 5/12 (b)
1/12 (c) 1/2 (d) 5/14
Solution.
(a) 5/12
Solution
Q4.
One card is drawn from a pack of 52 cards. find the probability that the card is a red face card.
(a) 2/13 (b) 1/13
(c) 3/26 (d) 6/5
Solution.
(c) 3/26
Note: total 6 red face cards .
Solution
Q5.
Q3 is equal to ____________ .
(a) D3 (b) P75 (c) P10 (d) P3
Solution.
(b) P75
Solution
Q6.
Find x̄ , if ui = (xi - 15)/10,∑ fiui = 12, N = 60
(a) 15 (b) 18 (c) 17 (d) 12
Solution.
x̄ = A + h{1/N ∑ fiui}
= 15 + 10 {1/60 x 12} = 17
Solution
Q7.
Histogram gives us :
(a) Mode (b) Median (c) Mean (d) S.D
Solution.
(a) Mode
Solution
Q8.
If the difference of median and mean is 12, find the difference of mode and median .
(a) 12 (b) 24 (c) 18 (d) 36
Solution.
Mode - Median = 2(Median - Mean)
Mode - Median = 2(12) = 24
Solution
Q9.
Write the formula of semi-interquartile range .
(a) (Q3 - Q1)/2 (b) (Q3 + Q1)/2
(c) (Q3)/2 (d) Q1/2
Solution.
(Q3 - Q1)/2
Solution
Q10.
If coefficient of variation is less then the data is
(a) more consistent (b) less consistent (c) none of these
Solution.
(a) more consistent
Solution
