MTH302 Ass Sol

 Question 1: Marks: 2

________ is useful when the most common item, characteristic or value of a data set is required

a) The mode
b) The median
c) The mean
d) None of these


Question: 2 Marks: 2

The mode may be more useful than the mean when there are extreme values in the data set

a) True
b) False


Question: 3 Marks: 2


Frequency distribution of a sample of monthly incomes is as follows

Rupees. Frequency
4000 and less than 8000 7
8000 and less than 10,000 16
10,000 and less than 12,000 28
12,000 and less than 13,000 21
13,000 and less than 14,000 8


If we use histogram to represent the data and a rectangle show the area between 8000 and 10,000 has a height of 8 cm, what is the height of the rectangle showing the area between 10,000 and less than 12,000?

a) 10
b) 12
c) 14
d) 16






Question 4: Marks: 2

The value of sales in a shop is
January 8,000
February 7,500
March 8,200
April 9,100
May 8,500
June 8,400
July 6,200
August 8,100
September 8,200
October 8,100
November 8,400
December 10,000

From this data the standard deviation is

a) 8120.0105
b) 9031.3417
c) 892.5194
d) 9125.1248


Question: 5 Marks: 2


A least squares line of regression to the following data taking X as independent variable

X 1 3 5 6 7 9 10 13
Y 1 2 5 5 6 7 7 8



a) y = 3.308 + 0.215x
b) y = 1.0142 + 0.609x
c) y = 7.256 + 0.761x
d) y = 1.898 + 0.293x


Question: 6 Marks: 2

Number of admissions for the past 16 quarters in a university are as follow:


Quarter 1 2 3 4
2006 13 22 58 23
2007 16 28 61 25
2008 17 29 61 26
2009 18 30 65 29


The quarterly variation of the above data is

a) Quarter 1 -21
Quarter 2 -15
Quarter 3 45
Quarter 4 -18

b) Quarter 1 -16
Quarter 2 -5
Quarter 3 28
Quarter 4 -8

c) Quarter 1 26
Quarter 2 -15
Quarter 3 -20
Quarter 4 -13

d) Quarter 1 -4
Quarter 2 -5
Quarter 3 12
Quarter 4 -9


Question: 7 Marks: 2

Suppose you have to paint a room, and you want different color on each wall. If the available paint colors are 16 then in how many ways you can paint the room.

a) P(16, 4) permutation
b) C(16, 4) Combination
c) 4!
d) None of these

Question: 8 Marks: 2

A travel company keeps a record of visitors. Currently there is a total of
500 visitors listed, which are as follows: 285 from European countries, 90 from America,
110 from Asian countries and 15 from African countries. If we select a single visitor from the list then the probability that he is neither an American nor an Asian visitor is

a) 0.97
b) 0.60
c) 0.79
d) None of these



Question: 9 Marks: 2


A multiple choice test has four possible answers to each of 16 questions. Each question carry marks 1 and passing marks are 11. What is the probability of passing the paper if students attempt all questions by guessing? (Student guesses the answer to each question, i.e., the probability of getting a correct answer on any given question is 0.25).

a) 9.09%
b) 0.687%
c) 0.028%
d) None of these


Question: 10 Marks: 2


The number of cars sold in a particular showroom during a month follows a Poisson distribution with a mean of 7.6. Find the probability that less than three cars will be sold next month on this showroom.

a) 0.018757
b) 0.055371
c) 0.036614
d) 0.014453

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