Consider the following statements
(1)Mode can be computed from histogram
(2)Median is not independent of change of scale
(3)Variance is independent of change of origin and scale
Which of these is / are correct?
Only (1)
Only (2)
Only (1) and (2)
(1), (2) and (3)
There are 5 balls numbered 1 to 5 and 5 boxes numbered 1 to 5. The balls are kept in the boxes one in each box. The
probability that exactly 2 balls are kept in the corresponding numbered boxes and the remaining 3 balls in the wrong
boxes, is
If 3 numbers are selected from the first 15 natural numbers, then the probability that the numbers are in AP is
A pair of dice thrown five times. The probability that doublets appear atleast 3 times is
Let A and B be two events such that
mutually exclusive and independent
independent but not equally likely
equally likely but not independent
equally likely and mutually exclusive
A key bunch contains 10 keys of which only one key can open a door. A man tries to open the door by choosing a
key at random and discarding the wrong key after each trial. The probability that the door is opened in the fifth trial is
The marks of some students were listed out of 75. The SD of marks was found to be 9. Subsequently the marks were raised to a maximum of 100 and variance of new marks was calculated. The new variance is
81
122
144
None of these
If in a frequency distribution the mean and median are 21 and 22 respectively, then its mode is approximately
24.0
25.5
20.5
22.0
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50.
The percentage of boys in the class is
40%
20%
80%
60%
A and B stand in ring along with 10 other persons. If the arrangement is at random, the probability, that there are
exactly 3 person between A and B, is
