JEE Main & Advanced Mathematics Statistics Question Bank

done Relation between mean median and mode pie diagram Total Questions - 13

• question_answer1)
  If mean = (3 median ? mode) k, then the value of k is
  A)
             1      done clear
  B)
             2 done clear
  C)
             1/2  done clear
  D)
              3/2 done clear
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• question_answer2)
  In a moderately asymmetrical distribution the mode and mean are 7 and 4 respectively. The median is
  A)
             4      done clear
  B)
             5 done clear
  C)
             6      done clear
  D)
              7 done clear
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• question_answer3)
  If in a moderately asymmetrical distribution mode and mean of the data are 6l and 9l respectively, then median is [Pb. CET 1988]
  A)
             8l   done clear
  B)
             7l   done clear
  C)
             6l   done clear
  D)
              5l done clear
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• question_answer4)
  Which of the following is not a measure of central tendency [Pb. CET 1989]
  A)
             Mean                                          done clear
  B)
             Median                                       done clear
  C)
             Mode                                          done clear
  D)
             Range done clear
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• question_answer5)
  The most stable measure of central tendency is                                    [AMU 1994]
  A)
             Mean                                          done clear
  B)
             Median done clear
  C)
             Mode                                          done clear
  D)
              None of these done clear
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• question_answer6)
  Which of the following average is most affected of extreme observations                                        [DCE 1995]
  A)
             Mode                                          done clear
  B)
             Median done clear
  C)
             Arithmetic mean                       done clear
  D)
              Geometric mean done clear
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• question_answer7)
  The following data was collected from the newspaper : (percentage distribution)

  Country	Agriculture	Industry	Services	Others
  India	45	19	28	8
  U.K.	3	40	44	13
  Japan	6	48	43	3
  U.S.A.	3	35	61	1

             It is an example of                           
  A)
             Data given in text form             done clear
  B)
             Data given in diagrammatic form done clear
  C)
             Primary data                              done clear
  D)
              Secondary data done clear
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• question_answer8)
  The mortality in a town during 4 quarters of a year due to various causes is given below: Based on this data, the percentage increase in mortality in the third quarter is
  A)
             40    done clear
  B)
             50    done clear
  C)
             60    done clear
  D)
              75 done clear
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• question_answer9)
  A market with 3900 operating firms has the following distribution for firms arranged according to various income groups of workers

  Income group	No. of firms
  150-300	300
  300-500	500
  500-800	900
  800-1200	1000
  1200-1800	1200

             If a histogram for the above distribution is constructed the highest bar in the histogram would correspond to the class            [NDA Sept. 1998]
  A)
             500-800                                      done clear
  B)
             1200-1800                                  done clear
  C)
             800-1200                                    done clear
  D)
              150-300 done clear
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• question_answer10)
  The total expenditure incurred by an industry under different heads is best presented as a              [NDA 2000]
  A)
             Bar diagram                               done clear
  B)
             Pie diagram                               done clear
  C)
             Histogram                                  done clear
  D)
              Frequency polygon done clear
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• question_answer11)
  The expenditure of a family for a certain month were as follows:            Food ? Rs.560, Rent ? Rs.420, Clothes ? Rs.180, Education ? Rs.160, Other items ? Rs.120            A pie graph representing this data would show the expenditure for clothes by a sector whose angle equals
  A)
             180° done clear
  B)
             90°  done clear
  C)
             45° done clear
  D)
              64° done clear
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• question_answer12)
  Section-wise expenditure of a State Govt. is shown in the given figure. The expenditure incurred on transport is            
  A)
             25% done clear
  B)
             30% done clear
  C)
             32% done clear
  D)
              35% done clear
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• question_answer13)
  If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately [AIEEE 2005]
  A)
             25.5 done clear
  B)
             24.0 done clear
  C)
             22.0 done clear
  D)
             20.5 done clear
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