Chapter : Measures o Central Tendency - Short Answer Questions [March 04] Given median = 0.6, mode = 6, ind mean. Mode 3 Median Mean Mean Mean 6 3 0.6 6 6.8 Mean 6.8 6 Mean 35.8 35.8 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 00 0 0 Correct Values809070 Working Wrong Wrong 5000 5000 Correct Wrong Wrong Values Correct Values 5000 0 70 560 Correct 560 Correct 03. 50 = Arimetic Mean =Sum o Values o = Total umber o Observations [March 03] The average daily wage o all workers in a actory is Rs. 444. 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
Given: Let and be e e number o male and emale workers in e actory. 444 480 360 00 00 444 480 00 360 00 44400 480 36000 360 44400 480 36000 360 44400 480 36000 360 44400 36000 480 360 8400 0 8400 0 70 00 = 00 70 = 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 3. 3 35.4 3. 3 70.8 3. 70.8 3 Median 0.9 3Median 0.9 Median 3 34.3 Median Business Statistics B.Com II Year [General & Computers] Pg. o: Chapter : Measures o Central Tendency - Previously Asked Annual Examination Short Questions & Solutions
[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 => = 00 70 => = 30 ( ) ( ) (70 75) (30 ) 7 00 700 550 30 700 550 30 700 550 30 950 30 950 30 65 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
[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. 5 0.6 H.M = Harmonic Mean = Total umber o Observations = requency (Distance) = Values (Speed) (Distance) (Speed) 0 0. 3 0.3333 6 0.667 3 0.6 [March 0] Calculate Weighted Arimetic Mean: Group Food Cloing Fuel & Lighting House Rent Misc. Index o. 5 33 4 73 8 Weights 7 5 4 3 Weighted Arimetic Mean Group Index () Weights (W) W Food 5 7 875 Clo 33 5 665 Fuel 4 4 564 Rent 73 73 Miscellaneous 8 3 546 0 83 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
W 83 4.5 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: : 60 50 5 6 56 : 5 8 6 3 7 Median Discrete Series C (Ascending Order) 50 8 8 5 6 4 56 7 60 5 6 6 3 9 9 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
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 9 8 00 Correct Values98880 Working Wrong Wrong 0050 0000 Correct Wrong Wrong Values Correct Values 0000 00 80 080 Correct 080 Correct 50.9 00 = 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