Tribhuvan University
Bachelor of Travel and Tourism Management
Semester 5 · TU Board 2026
Course Title: Statistics (STT301)
Full Marks: 60Pass Marks: 30Time: 3 Hrs
Candidates are required to give their answers in their own words as for as practicable.
Group A
Brief Answer Questions(10 × 1 = 10)
- 1.1
Distinguish between primary data and secondary data.
- 2.1
The following result were obtained: Coefficient of variation=50% SK(P)=0.5 S.D.=2 Find mean and mode.
- 3.1
The year of origin of the following straight line trend equation of profits (in lakhs of rupees) is 2008. Ŷ = 35 + 2X. Estimate the profit for the year 2015.
- 4.1
Calculate the average daily wages for the workers of two factories. Factory AFactory BNo. of wage earners8020Average daily wagesRs. 1560Rs. 1260
- 5.1
What will be the value of median of a moderately asymmetrical distribution, if the mean and mode are 30 and 24 respectively?
- 6.1
Calculate quartile deviation and coefficient of quartile deviation. Q₁=62, Q₃=70
- 7.1
If n=50, ∑x=75, ∑y=80, ∑x²=130, ∑y²=140, ∑xy=120, find the value of r.
- 8.1
Find the trend line from the following data by semi-average method. Year206120622063206420652066Sales222624272628
- 9.1
Calculate the coefficient of variation of a distribution if mean is found to be 200 and variance of distribution is 36.
- 10.1
Find the median of the following data: 20, 15, 15, 22, 17, 28
Group B
Short Answer Questions: (Attempt any SIX Questions)(6 × 5 = 30)
- 11.5
What is sampling? Discuss various sampling techniques.
- 12.5
Draw less than ogive and more than ogive for the following data in a same plane and locate median. Height62-6363-6464-6565-6666-6767-6868-69Persons261416831
- 13.5
Compute the seasonal indices by the method of simple average for the following data. Quarter1988198919901991I3.53.53.54.0II3.94.13.94.6III3.43.73.73.8IV3.64.84.04.5
- 14.5
Construct: a) Five number summary b) Box-and-whisker plot 70, 99, 88, 100, 120, 89, 99, 89, 98, 96, 114
- 15.5
A problem in Statistics is given to two students A and B whose chances of solving it are 1/3 and 1/4 respectively. Find the probability that a) The problem will be solved. b) Only one of them can solve the problem c) None of them will solve the problem
- 16.5
Modal marks for a group of 47 students is 27. Five students got the marks between 0-10, 15 students got the marks between 20-30 and 7 students got the marks between 40-50. Find the number of students getting marks between 10-20 and 30-40, if the minimum marks in the test were 50.
- 17.5
Fit a straight line trend for the following data and predict the likely profit for 1987. Year1980198119821983198419851986Profit (in Rs. 000)59626165676569
Group C
Comprehensive Answer Questions: (Attempt any TWO Questions)(2 × 10 = 20)
- 18.10
A factory produces two types of electric motors A and B. In an experiment relating to their life, the following results were obtained. Life(in years)Number of motors Model AModel B0-2152-4974-622116-811198-1089 a) Find which model of motor has uniformity of life? Give reason b) Calculate the combined mean.
- 19.10
From the data give below, find: a) Two regression equations b) The coefficient of correlation between the marks in Math and Statistics. c) The most likely marks in Statistics when marks in Math is 30. Marks in Math25283532313629383432Marks in Statistics43464941363231303339
- 20.10
From the following income distribution, find: a) Lowest income of richest 10% of the people b) Limits of income of middle 60% of the people Income0-2020-4040-6060-8080-100No. of persons1030363014
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