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(g)  When the class-intervals are so arranged that the     5.  (a) 20   (b)  60   (c)  4   (d)  20 – 30
                           upper limit of one class is the lower limit of the next      (e) 30 – 40  (f)  10
                           class, it is called exclusive or continuous class-interval.
                         (h)  When the class-intervals are so arranged that the upper     Chapter 21
                           limit of one class is not the lower limit of the next class,
                           it is called inclusive or discontinuous class-interval.  Exercise 21.1
                    Let’s Evaluate                                       2.  (a) The number of persons is maximum in the group
                                                                              65–70 (kg).
                      3.  (a) 5   (b)  40   (c)  60   (d)  32.5   (e)  10      (b) 5
                      6.  (b) 100  (c)  31   (d)  69   (e)  3              (c) The number of persons is minimum in the group
                         (f) 11   (g)  5                                      55–60 (kg).
                    Thinking Skills                                      3.  (a) 20
                                                                           (b) Maximum earning group is 60–80 (in `)
                      1.  Concentration of    Tally   Number of days       (c) Minimum earning group is 0–20 (in `)     (d) 18
                          NO  (in ppm)      marks      (frequency)       4.  (a) This histogram depicts the ages of 4,050 literate
                             2
                          0.010 – 0.014     | | | |         4                 females.
                          0.014 – 0.018         | |         7              (b) The number of literate females are maximum in the
                          0.018 – 0.022        | | |        8                 age group 15–20 years.
                          0.022 – 0.026         |           6              (c) The number of literate females are minimum in the
                                                                              age group 40–45 years.
                          0.026 – 0.030                     5              (d) The width of each class interval is 5.
                              Total                        30              (e) Class marks of 15–20 = 17.5
                                                                              Class marks of 25–30 = 27.5
                      2.
                                                                              Class marks of 40–45 = 42.5
                                                                           (f)  The number of literate females below 30 years in age
                                                                              are 2,700.
                                                                       Exercise 21.2
                                                                                                  1
                                                                         4.  (a) In school canteen  (b)      (c) 25%  (d) 3 : 1
                                                                                                  4
                                                                         5.  (a) ` 6 crores  (b) Company V   (c) ` 20 crores
                                                                       Exercise 21.3
                                                                         1.  (a) II  (b) I  (c) IV  (d) III  (e) I  (f) IV
                                                                         3.  A(3, 2), B(2, –1), C(6, 1), P(–4, 2),  Q(–4, –2), R(1, 1)
                                                                           and S(–2, 4)
                                                                         4.  Yes
                    Exemplar Problems                                  Exercise 21.4
                      1.  d   2.  class intervals    3.  False           1.  (a) 10°C   (b)  24°C  (c)  11:24 a.m.  (d)  2:24 p.m.

                         Class interval  Tally marks   Frequency                        Review Exercises
                      4.
                            30 – 35         | | |          3           Multiple Choice Questions
                            35 – 40         | | |          3             1.  c    2.  b     3.  d     4.  a    5.  d
                            40 – 45         | | |          3
                            45 – 50         | | |          3           Solve Mentally
                            50 – 55                        5           True or False
                            55 – 60         | | | |        4             1.  False   2.  True   3.  True   4.  False
                            60 – 65                        5           Fill in the Blanks
                            65 – 70          | |           2             1.  Y-axis  2.  histogram
                            70 – 75            | |         7                           Ê   Value of component     ˆ
                             Total                        35             3.  pie chart    4.   Á Ë Total value of component  ¥ 360 ˜ ¯ ∞

                        (a) 9 classes    (b) 70 – 75                     5.  X-axis
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