Statistical Ability Questions and Answers for ICET

I am preparing for TS ICET Entrance Test. I need questions based on Statistical Ability topic with answers. So will you please provide sample questions for Statistical Ability with answers for preparation of TS ICET Exam?

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As you want questions based on Statistical Ability with answers for TS ICET Exam preparation, so here I am providing questions:

Sample Questions based on Statistical Ability

Given the data set
4 , 10 , 7 , 7 , 6 , 9 , 3 , 8 , 9
Find
a) the mode,
b) the median,
c) the mean,
d) the sample standard deviation.
e) If we replace the data value 6 in the data set above by 24, will the standard deviation increase, decrease or stay the same?

Answer:
The standard deviation will increase since 24 is further from away from the other data values than 6.

Find x and y so that the ordered data set has a mean of 42 and a median of 35.
17 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y

Given the data set
62 , 65 , 68 , 70 , 72 , 74 , 76 , 78 , 80 , 82 , 96 , 101,
find
a) the median,
b) the first quartile,
c) the third quartile,
c) the interquartile range (IQR).

The exam grades of 7 students are given below.
70 , 66 , 72 , 96 , 46 , 90 , 50
Find
a) the mean
b) the sample standard deviation

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
A. 1/2
B. 2/5
C. 8/15
D. 9/20
Answer: Option D

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A. 10/21
B. 11/21
C. 2/7
D. 5/7
Answer: Option A

What is the probability of getting a sum 9 from two throws of a dice?
A. 1/6
B. 1/8
C. 1/9
D. 1/12
Answer: Option C

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 1/3
B. 3/4
C. 7/19
D. 8/21
E. 9/21
Answer: Option A

Three unbiased coins are tossed. What is the probability of getting at most two heads?
A. 3/4
B. 1/4
C. 3/8
D. 7/8
Answer: Option D