Page 207 - Maths Skills - 7
P. 207

Data Handling                                                                                          205


           4.  The value that occurs most frequently in a given   Answer the following questions on the basis of the
               data is called its:                               above data.
                (i)  mean           (ii)  mode                   1.  How many books were sold in 2012?
               (iii)  average      (iv)  median                          (i)  500          (ii)  700
           5.  Observations or numerical  facts gathered                (iii)  550         (iv)  600
               initially are called:                             2.  In which year were about 250 books sold?
                (i)  grouped data   (ii)  raw data                       (i)  2011         (ii)  2009

               (iii)  frequency    (iv)  range
                                                                        (iii)  2010        (iv)  2012
        B. Fill in the Blanks                                    3.  In which year were maximum books sold?
           1.  ________________ is the  most frequently                  (i)  2009         (ii)  2008
               occurring observation in a given data.
           2.  Arithmetic mean x =  ________________ .                  (iii)  2012        (iv)  2010

           3. Range = ______________ – ______________.           4.  Can you explain how you would estimate  the
           4.  A collection of ________________ information          number of books sold in 2007.
               of facts is called data.                                  (i)  100          (ii)  600
                                                                        (iii)  150         (iv)  0
        C. Write ‘T’ for true and ‘F’ for false statements

           1.  A bar graph is the pictorial representation            E. Assertion-Reason Based Questions
               of data.                                          Directions  for  Questions  1  to  3:  In each of the
                                                                 questions given  below, there  are  two statements
           2.  Median in the most frequently occurring           marked as Assertion (A) and Reason (R). Mark your
               observation.                                      answer as per the codes provided below:


           3.  Range is the difference between the highest        (a)  Both  A and R are  true and R is the correct
               value and lowest value of observation.                explanation of A.

           4.  A data arranged in groups is called raw data.     (b)  Both A and R are true but R is not the correct
                                                                     explanation of A.
           5.  The mean of first ten natural numbers is 5.5.
                                                                 (c)  A is true but R is false.

                  D. Case Study Based Questions                  (d)  A is false but R is true.
         Read the bar graph which shows the number of books      Q. 1. Assertion (A): The middle most observation of
         sold by a book store during five consecutive years                         data is called the median.
         and answer the following questions.
                                                                      Reason (R): Median divides the data into two
                                                                                  equal parts.

                    700                                           Q. 2. Assertion (A): Mode of the data 0, 5, 6, 9, 1, 5,
                                                                                    7, 5, 11, 15, 5, 7 is 5

                  Books  500                                          Reason (R): Mode is the term that appears the
                    400
                    250                                                          most.
                    200
                    100                                           Q. 3. Assertion (A): The mode is always one of the
                      0                                                             numbers in data.
                            2008  2009  2010  2011  2012              Reason (R): Mode is always greater than mean
                                   Years                                         in a data.
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