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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MTH302 GDB idea

1. Determine Variable Unit Costs. Determine the variable costs of producing one unit of this product. Variable costs are those costs associated with making the product or buying it wholesale. If you are making a product, you will need to know the cost of all the components that go into that product. For example, if you are printing books, your variable unit costs are paper, binding, and glue for one book, and the cost to put one book together. Let's say you calculate your unit variable cost at $11.50.

2. Determine Fixed Costs fixed costs are costs to keep your business operating, even if you didn't produce any products. To determine fixed costs, add up the cost of running your factory for one month. These costs would include rent or mortgage, utilities, insurance, salaries retirement benefit cost of non-production employees, and all other costs. In other words, fixed costs are all costs of your business except those directly related to producing your products. Let's say you determine your monthly total fixed cost at $25,000.

3. Determine Unit Price Determine the unit price for your product. This price may change as you see where your break-even point is, keeping in mind the damage of equipment and other unexpected expenses, and also desired profit, for now let's say your unit price is $25.00 per book.

Breakeven Point = Fixed Costs/(Unit Selling Price - Variable Costs)

=25000/(25-11.5)

=1851.851

The above mention calculation provides good profit range from which company can set aside desired amount that will collect interest or purchase annuities.

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MTH302 Quiz

Question # 1 of 10 ( Start time: 11:13:55 AM ) Total Marks: 1
The degree of steepness of a straight line is called
Select correct option:



orientation

intercept

slope

skewness


Question # 2 of 10 ( Start time: 11:14:13 AM ) Total Marks: 1
A scatter diagram is a chart that portrays the relationship between two variables.
Select correct option:



true

false


Question # 3 of 10 ( Start time: 11:14:35 AM ) Total Marks: 1
A pictorial presentation of the relationship between variables is called
Select correct option:



Equation

Straight line

Graph

Region

Question # 4 of 10 ( Start time: 11:15:20 AM ) Total Marks: 1
The best measure of variation is
Select correct option:



Range

Quartile deviation

Variance

Coefficient of variance



Question # 5 of 10 ( Start time: 11:16:26 AM ) Total Marks: 1
In the arrangement of numbers,by following stem and leaf format a number say ‘27’ is located by taking
Select correct option:



2 as its leaf and 7 as its stem

2 as its stem and 7 as its leaf

27 as its stem with nil leaf

Nil as its stem 27 as a leaf


Question # 6 of 10 ( Start time: 11:16:56 AM ) Total Marks: 1
If the value of r is zero then the graph of the data points shows
Select correct option:



evenly skewness

positively scattered

no associations

negative associations


Question # 7 of 10 ( Start time: 11:18:10 AM ) Total Marks: 1
Choose the correlation that describes the strongest relationship between two variables
Select correct option:



.25

- .70

.60

- .25


Question # 8 of 10 ( Start time: 11:19:08 AM ) Total Marks: 1
The correlation coefficient between x and y shows
Select correct option:



Whether y depends on x

whether x causes y

whether there is any relation between x and y

whether there is a linear relation between x and y


Question # 9 of 10 ( Start time: 11:19:50 AM ) Total Marks: 1
Which of the following correlation coefficients could be statistically significant?
Select correct option:



–.45

0.12

0.34

All of these

Question # 10 of 10 ( Start time: 11:20:13 AM ) Total Marks: 1
If the median of an arrangement of numbers is equal to the mean of its middle terms then the arrangement contains
Select correct option:



Odd number of terms

Even number of terms

Unlimited number of terms

Prime number of terms

NOTE: - 


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