Chapter 2: Measures of Central Tendency - Short Answer Questions

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1 Chapter : Measures o Central Tendency - Short Answer Questions [March 04] Given median = 0.6, mode = 6, ind mean. Mode 3 Median Mean Mean Mean Mean Mean Mean 7.9 [March 04] Arimetic mean o 50 items is 00. At e time o calculations two items 80 and 90 were wrongly taken as 00 and 0. Find e correct value o Arimetic mean. Given 50 Wrong 00 Wrong Values Correct Values Working Wrong Wrong Correct Wrong Wrong Values Correct Values Correct 560 Correct = Arimetic Mean =Sum o Values o = Total umber o Observations [March 03] The average daily wage o all workers in a actory is Rs I e average daily wages paid to male and emale workers are Rs. 480 and Rs. 360 respectively, ind e percentage o male and emale workers employed by e actory. Business Statistics B.Com II Year [General & Computers] Pg. o: Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions

2 Given: Let and be e e number o male and emale workers in e actory = = 30 umber o Male Workers in e actory = 70 % umber o Female Workers in e actory = 30 % Combined Arimetic Mean Mean Marks o Male Workers Mean Marks o Female Workers = umber o Male Workers = umber o Female Workers [March 03] Mode = 3. and Mean = 35.4, Median =? Mode 3 Median Mean Median Median Median 0.9 3Median 0.9 Median Median Business Statistics B.Com II Year [General & Computers] Pg. o: Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions

3 [March 0] The mean marks o statistics o 00 students o a class were 7. The mean marks o boys were 75 while eir number was 70. Find out e mean o girls in e class. Given: 7 + = 00 =70 75 =? =? + = 00 => 70 + = 00 => = => = 30 ( ) ( ) (70 75) (30 ) Conclusion: The Mean Marks o Statistics o girls is 65. Combined Arimetic Mean Mean Marks o Boys in Statistics Mean Marks o Girls in Statistics = umber o Boys = umber o Girls Business Statistics B.Com II Year [General & Computers] Pg. o: 3 Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions

4 [March 0] A person travels e irst km at 0 km per hour, e second km at 3 km per hour and e ird km at 6 km per hour. What is e average speed? Harmonic Mean Discrete Series 3 HM H.M = Harmonic Mean = Total umber o Observations = requency (Distance) = Values (Speed) (Distance) (Speed) [March 0] Calculate Weighted Arimetic Mean: Group Food Cloing Fuel & Lighting House Rent Misc. Index o Weights Weighted Arimetic Mean Group Index () Weights (W) W Food Clo Fuel Rent Miscellaneous W W Business Statistics B.Com II Year [General & Computers] Pg. o: 4 Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions

5 W w W 0 w = Weighted Arimetic Mean W W = Sum o Product o Corresponding Values o Weights (W) and Values o Index () = Sum o Weights [March 0] Find e Median o e data: : : Median Discrete Series C (Ascending Order) M Size o item 9 M Size o item 30 M Size o item M Size o 5 item M 56 Business Statistics B.Com II Year [General & Computers] Pg. o: 5 Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions

6 M = Median = Total umber o Observations C = Cumulative Frequency = Frequency [March 00] The mean o 00 items was 50. Later on it was discovered at two items were wrongly read as 9 and 8 instead o 9 and 88, ind e correct mean. Given 00 Wrong 50 Wrong Values Correct Values98880 Working Wrong Wrong Correct Wrong Wrong Values Correct Values Correct 080 Correct = Arimetic Mean =Sum o Values o = Total umber o Observations Business Statistics B.Com II Year [General & Computers] Pg. o: 6 Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions

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