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central+tendency+problems+latest.docx

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central+tendency+problems+latest.docx

  1. 1. 1. The data for second quarter earnings per share ( EPS) for major banks In the Northeast are tabulated below. Compute mean. NAME EPS $ Bank of New York 2.53 Bank Boston 4.38 Bankers Trust/ New york 7.53 Chase Manhattan 7.53 Citicorp 7.96 Fleet 4.35 MBNA 1.5 Mellon 2.75 Morgan JP 7.25 PNC Bank 3.11 Republic 7.44 State street 2.04 Summit 3.25 2. Keyes Home furnishings ran six local news paper advertisements during December. The following frequency distribution resulted. No. of times subscriber saw add during the month. 0 1 2 3 4 5 6 frequency 897 1082 1325 814 307 253 198 What is the average number of times a subscriber saw keyes advertisement during December.
  2. 2. 3. The following table gives the population of males at different age Groups of U.K and India at the time of the census 1931. Compare the Average age of males in the two countries. 4. A company is planning to improve plant safety. For this accident data for the last 50 weeks was compiled. These data were grouped into the frequency distribution as shown below. Calculate the A.M of the number of accidents per week. No. of Accidents 0-4 5-9 10-14 15-19 20-24 No. of Weeks 5 22 13 8 2 Age group ( years) 0-5 5-10 10-15 15-20 20-25 25-30 30-40 40-50 50-60 60-- 70 U.K (in lakhs) 18 19 20 18 16 14 27 25 19 17 India ( in Lakhs) 214 258 222 157 145 161 257 184 120 100
  3. 3. 5. The average turnover of 200 small and medium enterprises (SMEs) financed by ‘X’ bank in a state is Rs.50 crores, and the average turnover of 300 small and medium enterprises financed by ‘Y’ bank in the same state is Rs. 60 crores. Find the combined mean for the small and medium enterprises financed by both the banks. 6. There are two units of an automobile company in two different cities employing 760 and 800 persons, positively. The arithmetic means of monthly salaries paid to persons in these two units are Rs.18, 750 and Rs.16,950 respectively. Find the combined arithmetic mean of salaries of the employees in both the units. 7. The North Carolina consumers Bureau conducted a survey of cable television providers in the state. Here are the number of channels they offer in the basic services: 32 28 31 15 25 14 12 29 22 28 29 32 33 24 26 8 35 Calculate the median number of channels is provided. 8. Find Median marks for the following distribution. Marks 10 15 20 25 30 35 40 45 50 No. of Students 3 8 10 12 18 14 10 9 5
  4. 4. 9. The following data relates to distribution of total loans/credit among various borrowers according to rate of interest, Rate of Interest (%) Percentage of Total Credit <6 10.2 6.0 – 8.0 15.5 8.0 – 10.0 26.0 10.0—12.0 32.6 >12.0 15.7 What would be the median? 10. Calculate Median from the following distribution: Income (In Rs.) Frequency. 0-5 5 5-10 7 10-15 10 15-20 8 20-25 6 25-30 4 11. In the frequency distribution of 100 families given below, the number of families corresponding to expenditure groups 20-40 and 60-80 are missing from table; however, the median is known to be 50. Find missing frequencies. Expenditure 0—20 20—40 40—60 60—80 80--100 No. Of families 14 ? 27 ? 15
  5. 5. 12. The Bharat Ball Bearings limited has collected the following data. 12, 19, 21, 30, 13, 19, 22, 31, 17, 20, 24, 31, 18, 21, 27, 31. Compute Mode. 13. Find out mode for the following data. Shoe size 6 61/2 7 7 1/2 8 8 1/2 9 Frequency 12 38 31 34 48 42 16 14. Calculate model size in the following distribution. Size (inches) Below 10 10—12 12—14 14—16 16—18 18—20 Demand 3 15 27 20 3 2 Will the median fall under the same size. 15. IBM has shown the following percentage increase in net worth over the last 7 years. 2006 2007 2008 2009 2010 2011 2012 16% 17% 18% 19% 21% 21% 23% What is the average percentage increase in net worth over the 7-year period?
  6. 6. 16. The following data relates to sales of top market brands among pain killers in India. Calculate the average growth for all the brands as a whole. Painkiller Sales ( Rs. Crores) Growth (%) 2005 2006 Voveran 16.5 23.2 40.60 Calpol 13.2 18.2 37.80 Nise 15.2 18.6 22.30 Combiflam 9.4 14.1 50.00 Dolonex 6.8 10.3 51.40 Sumo 5.1 7.4 45.00 Volini 6.9 9.6 39.10 Moov 3.8 4.9 28.00 Nimulid 3.5 4.9 40.00
  7. 7. 17. Jyothi and Anuj are the two eligible candidates for the position of Chief Manager (HRD) , their overall rating (Expressed in % ) for the last five years are summarized below. Year Jyothi Anuj 2001 70% 80% 2002 81% 82% 2003 90% 79% 2004 74% 78% 2005 85% 75% Analyze the above data to have an assessment of their past performance. 18. The following table gives the return on investment ( ROI) of 60 companies. ROI (%) intervals Number of companies 0- 5.0 10 5.0-10 25 10.0-15.0 12 15.0-20.0 8 20.0-25.0 5 Find the average rate of return.
  8. 8. 19. A certain store made profits of Rs.5000; Rs.10, 000; Rs.80, 000 in 1995, 1996, and 1997 respectively .Determine the average rate of growth of this stores’ profits. 20. The following table gives the weights of 30 persons in a sample enquiry. Calculate the mean weight using the harmonic mean. Weight (lbs) 130 135 140 145 146 148 149 150 157 No. of Persons 3 4 6 6 2 5 2 1 1
  9. 9. 21. A cyclist pedals from his house to his college at a speed of 10km.ph and back from the college to his house at 15 km.ph. Find the average speed. 22. In a certain office, a letter is typed by A in 4 min. The same letter is typed by B, C and D in 5,6, and 10 minutes respectively. What is the average time taken in completing one letter? How many letters do you expect to be typed in one day comprising of 8 working hours? 23. Find the H.M from the following data. Items 1 2 3 4 5 6 7 8 9 10 Values 15 25 15.7 157 1.57 105.7 105 1.06 25.7 0.257
  10. 10. 24. Obtain the average output per worker by using the harmonic mean from the following data. Output 70-74 75-79 80-84 85-89 90-94 95-99 100-104 No. of workers 3 5 15 12 7 6 2 A man travels first 900 km of his journey by train at an average speed of 80 km/ hr, next 2000 km by plane at an average speed of 300 km/hr and finally, 20 km by train at an average speed of 30 km/hr. What is the average speed for the entire journey?
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