Full Marks: 100
Pass Marks: 35
Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Brief Answer Questions [10×2=20]
Attempt ALL Questions.
1 The mean of marks in statistics of 100 students in a class was 72 .The mean of marks of 70 boys was 75 .Find out the mean marks of girls in the class.
2 The difference between the upper quartile of a certain frequency distribution is 4 and their sum is 16. Calculate the quartile deviation and its coefficient.
3 In a single throw of two dice ,What is type probability of getting the same numbers on both dice
4The personnel director for Nepal drug limited recorded the average percentage absentee rates for each quarter for 4 years period are 55,67.5,62.5,and 53.Find the seasonal indices.
5 The coefficient of variation of a symmetrical distribution is 9% and mean of the distribution is 40.Find the value of standard deviation and variance.
6 What do you mean by five number summary? What is it;s application in statistics.
7 Reconstruct the following index number by shifting the base year as 2053.
8 From the following pay off table ,find the best strategy if (1) maximax criteria is applied (2) maximin criteria is applied.
9 For eight pair of observation on two variables sales (X) and pricing (Y) the following results were obtained.
Ex=156, Ey=132, Ex2=4162 , Ey2=2434, Exy=2884
Find out if there exists any relationship between sales and pricing
10 Find the adjoint matrix given below.
3 7 ]
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Attempt any FIVE Questions [5*10=50]
Descriptive Answer Questions
11 The average weekly wages, standard deviation and number of workers of two factories are given below
|Factory A||Factory B|
|Average weekly wage||4600||4900|
|Number of workers||100||80|
calculate the mean and variance of weekly wage of all workers taken together .Which factory has greater variability in the distribution of weekly wages ?Justify your result with appropriate statistics tool.
12 Differentiate between census and sampling method of data collection ,Why sampling method is suitable to collect data from large population ?
13 a Solve the following linear programming problem using graphical method
subject to constraints:
X+Y<30, X+Y<40, X,Y >0
b A manufacturing company has 1000 employees 10%of the employees earn less than RS 500 per day ,200 earn between RS 500 and RS 999, 30%earn between RS 1000 and RS1499,250 employees earn between RS 1500 and RS 1999 and rest earn RS 2000 and above .Calculate the suitable average wages. Also give the reason for your choice of average.
14 Calculate the index number by using suitable formula for 1985 on the basis of 1980 from the following information.
|product X||product X||product Y||product Y||product Z||product Z|
15 a Prove the following by using properties of determinants.
1 1 1
A B C =(a-b) (b-c) (c-a) (a+b+c)
a3 b3 c3
b Solve the following equations by using Matrix method
16 From the following data compute Bowleys coefficient of skeweness and interpret your result.
|Income||below 200||200-400||400-600||600-800||800-1000||1000 above|
|No of families||25||40||80||75||20||16|
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Attempt any TWO Questions [2*15=30]
Analytical Answer Questions
17 The following table represents the annual trend of net profit of two different companies seeking investment for their development projects .As an investment advisor ,In which company would you suggest to invest money ? Justify your answer by using necessary statistical tools.
|Net profit in million||Net profit in million|
|Year||Company A||Company B|
18 From the following bi variate frequency table , find out if there exists any relationship between advertisement expenditure and sales revenue and test the significance of the result .Also estimate sales revenue when advertisement RS 40000
|Advertisement in expenditure||sales revenue||sales revenue||sales revenue||sales revenue||sales revenue|
|Advertisement in expenditure||0-50||50-100||100-150||150-200||200-250|
19 Under an employment promotion programme ,it is proposed to allow sale of newspaper on the business during peak hours. An newspaper boy has the following probability of selling a magazines.
|No of copies sold||10||11||12||13||14|