JEE Main & Advanced Mathematics Statistics Question Bank

done Median and Mode Total Questions - 15

• question_answer1)
  Which one of the following measures of marks is the most suitable one of central location for computing intelligence of students?                           [Kurukshetra CEE 1995]
  A)
                  Mode       done clear
  B)
                  Arithmetic mean done clear
  C)
                  Geometric mean    done clear
  D)
                  Median done clear
  View Solution play_arrow

• question_answer2)
  The central value of the set of observations is called
  A)
                  Mean       done clear
  B)
                  Median done clear
  C)
                  Mode       done clear
  D)
                   G.M. done clear
  View Solution play_arrow

• question_answer3)
  For a frequency distribution 7th decile is computed by the formula
  A)
                  \[{{D}_{7}}=l+\frac{\left( \frac{N}{7}-C \right)}{f}\times i\] done clear
  B)
                  \[{{D}_{7}}=l+\frac{\left( \frac{N}{10}-C \right)}{f}\times i\]              done clear
  C)
                  \[{{D}_{7}}=l+\frac{\left( \frac{7N}{10}-C \right)}{f}\times i\]            done clear
  D)
                   \[{{D}_{7}}=l+\frac{\left( \frac{10N}{7}-C \right)}{f}\times i\] done clear
  View Solution play_arrow

• question_answer4)
  Which of the following, in case of a discrete data, is not equal to the median
  A)
                  50th percentile       done clear
  B)
                  5th decile done clear
  C)
                  2nd quartile            done clear
  D)
                  Lower quartile done clear
  View Solution play_arrow

• question_answer5)
  The median of 10, 14, 11, 9, 8, 12, 6 is  [Kurukshetra CEE 1997]
  A)
                  10 done clear
  B)
                  12            done clear
  C)
                  14            done clear
  D)
                   11 done clear
  View Solution play_arrow

• question_answer6)
  The relation between the median M, the second quartile \[{{Q}_{2}}\], the fifth decile \[{{D}_{5}}\] and the 50th percentile \[{{P}_{50}}\], of a set of observations is                                   [AMU 1990]
  A)
                  \[M={{Q}_{2}}={{D}_{5}}={{P}_{50}}\]   done clear
  B)
                  \[M<{{Q}_{2}}<{{D}_{5}}<{{P}_{50}}\]    done clear
  C)
                  \[M>{{Q}_{2}}>{{D}_{5}}>{{P}_{50}}\]    done clear
  D)
                   None of these done clear
  View Solution play_arrow

• question_answer7)
  For a symmetrical distribution \[{{Q}_{1}}=25\] and \[{{Q}_{3}}=45\], the median is
  A)
                  20            done clear
  B)
                  25 done clear
  C)
                  35            done clear
  D)
                   None of these done clear
  View Solution play_arrow

• question_answer8)
  If a variable takes the discrete values \[\alpha -4,\,\alpha -\frac{7}{2},\,\alpha -\frac{5}{2},\,\alpha -3,\,\alpha -2,\,\alpha +\frac{1}{2},\,\alpha -\frac{1}{2},\,\alpha +5\,(\alpha >0)\], then the median is [DCE 1997; Pb. CET 1988]
  A)
                  \[\alpha -\frac{5}{4}\]            done clear
  B)
                  \[\alpha -\frac{1}{2}\] done clear
  C)
                  \[\alpha -2\]           done clear
  D)
                   \[\alpha +\frac{5}{4}\] done clear
  View Solution play_arrow

• question_answer9)
  The upper quartile for the following distribution

  Size of items	1	2	3	4	5	6	7
  Frequency	2	4	5	8	7	3	2

                  is given by the size of
  A)
                  \[\left( \frac{31+1}{4} \right)\]th item done clear
  B)
                  \[\left[ 2\left( \frac{31+1}{4} \right) \right]\]th item          done clear
  C)
                  \[\left[ 3\left( \frac{31+1}{4} \right) \right]\]th item           done clear
  D)
                   \[\left[ 4\left( \frac{31+1}{4} \right) \right]\]th item done clear
  View Solution play_arrow

• question_answer10)
  The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observation of the set is increased by 2, then the median of the new set                                   [AIEEE 2003]
  A)
                  Is increased by 2 done clear
  B)
                  Is decreased by 2  done clear
  C)
                  Is two times the original median done clear
  D)
                  Remains the same as that of the original set done clear
  View Solution play_arrow

• question_answer11)
  For a continuous series the mode is computed by the formula
  A)
                  \[l+\frac{{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\left( \frac{{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}} \right)\times i\] done clear
  B)
                  \[l=\frac{{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\] done clear
  C)
                  \[l+\frac{{{f}_{m}}-{{f}_{m-1}}}{2{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{{{f}_{m}}-{{f}_{1}}}{2{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\] done clear
  D)
                   \[l+\frac{2{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{2{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\] done clear
  View Solution play_arrow

• question_answer12)
  A set of numbers consists of three 4?s, five 5?s, six 6?s, eight 8?s and seven 10?s. The mode of this set of numbers is              [AMU 1989]
  A)
                  6              done clear
  B)
                  7              done clear
  C)
                  8              done clear
  D)
                   10 done clear
  View Solution play_arrow

• question_answer13)
  The mode of the following items is 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0                                            [AMU 1995]
  A)
                  0              done clear
  B)
                  5 done clear
  C)
                  6              done clear
  D)
                   2 done clear
  View Solution play_arrow

• question_answer14)
  The mode of the distribution                                 [AMU 1988]

  Marks	4	5	6	7	8
  No. of students	6	7	10	8	3

  A)
                  5              done clear
  B)
              6 done clear
  C)
                  8              done clear
  D)
                  10 done clear
  View Solution play_arrow

• question_answer15)
  Consider the following statements                        [AIEEE 2004]                 (1) Mode can be computed from histogram                 (2) Median is not independent of change of scale                 (3) Variance is independent of change of origin and scale                 Which of these is/are correct
  A)
                  (1), (2) and (3)      done clear
  B)
                  Only (2) done clear
  C)
                  Only (1) and (2)    done clear
  D)
                  Only (1) done clear
  View Solution play_arrow