Business Statistics TU Board 2080 question paper

State any two principle objectives of classification.

If mean = 25, mode = 28 and standard deviation = 5, find coefficient of skewness.

If the third quartile and median are 30 and 22 respectively. Find the first quartile, assuming the distribution to be symmetrical.

If the quartiles coefficient of skewness is 0.6, quartile deviation is 5 and the third quartile is 28, find the median of the distribution.

Given the following Regression equations, 4X - 5Y + 33 = 0; 20X - 9Y - 107 = 0. Find the mean values of X and Y.

Evaluate |A| =123456789

A card is drawn at random from a pack of cards, what is the probability of getting (a) a black card (b) a king.

Find the simple aggregative price index number from the following data of 2015 taking 2014 as base year when current year quantity is taken as weight.Commodities2014 Price2015 PriceA58B46C1012D75

Find the transpose of matrix A where A=1-243

The year of origin of the following trend line equation of production (in tonne's) is 2017. y = 40 + 1.5 x. Estimate the production for the year 2033.

a) The coefficient of rank correlation of marks obtained by 10 students in Statistics and Account was found to be 0.5. It was later discovered that the difference in ranks in the two subjects obtained by one student was wrongly taken as 3 instead of 7. Find the correct coefficient of rank correlation. b) From analysis of the monthly wages paid to workers in the firm A and B belonging to the same industry given the following results.Firm AFirm BNo. Of workers500600Average monthly wage (Rs.)480475Variance of distribution of wage (Rs.)400625a. Which firm pays larger wage bill? b. In which firm is there greater variability in individual wages?

Calculate percentile coefficient of kurtosis for the following data:Expenditure (Rs. 00)10-1920-2930-3940-4950-5960-6970-79NO. Of families35324558431710

The following table gives information on ages and cholesterol levels for a random sample of 10 men. Develop a regression line of cholesterol level on age.Age58694339635247317436Cholesterol level189235193177154191213165198181Predict the cholesterol level of a 60 - year old man.

An inquiry among the budget of middle class families in a certain city gave the following information.ExpensesFoodFuelClothingRentother35%10%20%15%20%Price in 201514523653040Price in 201615025753045What is the cost of living index number of 2016 as compared with that 2015, if the average salary of Rs. 20,000 per month is raised to Rs. 21,000 in 2016, is it adequate? If not, what should be the adequate salary in 2016?

Solve the following problem graphically: Minimize the cost Z₁ = Rs. 20x + Rs. 30y Subject to constraints: 3x + 5y ≥ 45 2x + y ≥ 20 and x, y ≥ 0 non -negative condition

Solve the following equations by using matrix determinant method 3x+2y +5z = 10 2x - 3y + 7z = 9 x+y+z=5

The manager of Flower shop promises its customers delivery within four hours on all flower orders. All flowers are purchased on the previous day and delivered to parker by 8:00 AM in the next morning. The daily demand for roses is as follows:Dozen of roses708090100Probability0.10.20.40.3The manager purchase roses Rs. 10 per dozen and sells them for Rs. 30. But if unsold roses are donated to a local hospital Construct the pay-off table, also finds EMV, EPPI and EVPI.

Below are given the annual production of sugar (in thousand tons) of a factoryYear2011201220132014201520162017Production77889485919890a. Fit a straight by the method of least square b. Obtain the trend values c. Plot the given figures on a graph and show the trend line d. What is the monthly increase in production? e. Estimate production of sugar for the year 2020.

Construct a frequency table from the following data representing annual profit, in lakhs of rupees in 50 firms taking 25 - 34, 35 - 44 etc. as class intervals.2835612936485967695048404942413751626333313235403839605154566946423861595844395738444545473844474764a. Find the number of firms having profit between Rs. 37 lakhs and Rs. 54 lakh. b. Profit above which 10% of the firm will have their profits in. Modal 50% profit group.