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PARUL UNIVERSITY – MBA – Business Statistics Solved Assignments

Q.1(a). Describe the importance and scope of Statistics

(b). Explain the characteristics of a frequency distribution.

©. Explain how statistics plays an important role in management planning and decision making?

(d). With the help of few examples explain the role of statistics as a managerial tool.

500 Words

Q.2 The take-home salary (in Rs.) of 40 unskilled workers from a company for a particular month was.

Construct a frequency distribution having a suitable number of classes.

500 Words

Q3. The following data give the points scored in a tennis match by two players X and Y at the end of twenty games:

(10, 12) (7, 11) (7, 9) (15, 19) (17, 21) (12, 8) (16, 10) (14, 14) (22, 18) (16, 7) (15, 16) (22, 20) (19,15) (7, 18) (11, 11) (12, 18) (10, 10) (5, 13) (11, 7) (10, 10)

Taking class intervals as: 5–9, 10–14, 15–19 . . ., for both X and Y, construct

(i) Bivariate frequency table.

(ii) Conditional frequency distribution for Y given X > 15.

500 Words

Q4. A survey of 370 students from the Commerce Faculty and 130 students from the Science Faculty revealed that 180 students were studying for only C.A. Examinations, 140 for only Costing Examinations, and 80 for both C.A. and Costing Examinations. The rest had opted for part-time Management Courses. Of those studying for Costing only, 13 were girls and 90 boys belonged to the Commerce Faculty. Out of the 80 studying for both C.A. and Costing, 72 were from the Commerce Faculty amongst whom 70 were boys. Amongst those who opted for part-time Management Courses, 50 boys were from the Science Faculty and 30 boys and 10 girls from the Commerce Faculty. In all, there were 110 boys in the Science Faculty.    

Present this information in a tabular form.

500 Words

Q5.(a) Find the missing frequencies in the following frequency distribution. The A.M. of the given data is 11.09.

(a) In which factory is there greater variation in the distribution of wages per employee?

(b) Suppose in factory B, the wages of an employee were wrongly noted as Rs. 900 instead of Rs. 910.

(b). The mean yearly salary paid to all employees in a company was Rs. 24,00,000. The mean yearly salaries paid to male and female employees were Rs. 25,00,000 and Rs. 19,00,000, respectively. Find out the percentage of male to female employees in the company.

500 Words

Q6. The number of employees, wages per employee and the variance of the wages of employees for two factories are given below :

(a) In which factory is there greater variation in the distribution of wages per employee?

(b) Suppose in factory B, the wages of an employee were wrongly noted as Rs. 900 instead of Rs.910.

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