Q1.
Which is the measurement of dispersion.
(a) Range (b) Mean (c) Median (d) Mode
Solution.
(a) Range
Solution
Q2.
Q3 is also known as .
Solution
Upper Quartile
Solution
Q3.
Which averages are known as ratio averages :-
Solution.
H.M and G.M
Solution
Q4.
The relation between x and y is 4x - 5y = 40, if mean deviation of x = 15, find M.D of y.
Solution.
4x - 5y = 40
5y = 4x - 40 ⇒ y =
4/5
x - 8
y =
4/5
(15) - 8
M.D of y = 12
Solution
Q5.
The best measure of dispersion for open end data.
Solution.
Quartile Deviation
Solution
Q6.
If the mean and S.D of x are a and b2 respectively, then find the S.D of
x - 2a/b
Solution.
b
Solution
Q7.
If x and y are two variables, having relation 2x + 3y = 30 and mode of x is 5, find the mode of y.
Solution.
3y = 30 - 2x
y =
30 - 2x/3
=
30 - 10/3
=
20/3
Solution
Q8.
For a moderately skewed distribution , the standard deviation and quartile deviation are related by.
Solution
Q9.
Measures of dispersion are called averages of the ___________ order .
Solution.
2nd order
Solution
Q10.
Which result holds for a set of distinct positive observations, among AM, GM and HM ?
Solution.
A.M > G.M > H.M
Note : If all the observations are equal then A.M = G.M = H.M
Solution
