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Data Handling Test - 27

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Data Handling Test - 27
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  • Question 1
    1 / -0
    The range of the data : $$21,6,17,18,12,8,4,13$$ is 
    Solution
    In given data, the highest observation is $$21$$ and the lowest one is $$4$$.

    Range $$=$$ Highest observation $$-$$ lowest observation
               $$=21-4=17$$

    Hence, option (A) is the correct answer.
  • Question 2
    1 / -0
    The median of the data : $$ 3,4,5,6,7,3,4$$ is  
    Solution
    Rearranging the given data into ascending order, we get 
    $$3,3,4,4,5,6,7,$$
    Total number of observations $$=7$$ which is odd
    Hence, the $$4^{th}$$ term is the median.
    $$\therefore$$ Median $$=4$$

    Hence, option (C) is the correct answer.
  • Question 3
    1 / -0
    Which measure of central tendency best represents the data of the most popular politician after a debate?
    Solution
    We know that, mode is the measure of central tendency, it is used to find that what occurs most often.
  • Question 4
    1 / -0
    Listed below are the temperatures in $$ ^oC $$ for $$ 10 $$ days. $$ -6,-8,0,3,2,0,1,5,4,4 $$
    What is the range of the data?
    Solution
    Range of data is $$ 13^o C $$ is 
    Range of data= Maximum temperature- Minimum temperature
    $$ = 5-(-8)=5+8=13 $$.
  • Question 5
    1 / -0
    Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries. Choose the correct answer from the given four options:
    How many more matches were played by India than Pakistan?

    Solution

    The given bar graph represents the number of matches played by cricket teams of different country.

    We can prepare frequency table from given bar graph as follows:

      Country                      No. of matches

       India                                     $$30$$

       Pakistan                               $$24$$

       West Indies                          $$20$$

       England                                $$28$$

       South Africa                         $$18$$

       Australia                               $$32$$

       Sri Lanka                              $$24$$

    Total number of students $$=176$$.

    Then, the number of more matches played by India than Pakistan

    $$=$$ Number of matches played by India $$-$$ Number of matches played by Pakistan

    $$=30-24=6$$ matches.

    That is, India played $$6$$ matches more than Pakistan.

    Hence, option $$A$$ is correct.

  • Question 6
    1 / -0
    The mean of the first $$6$$ odd natural numbers is
    Solution
    First 6 odd natural numbers are:
    $$1, 3, 5, 7, 9, 11$$
    $$1 + 3 + 5 + 7 + 9 + 11$$
    Mean $$= \dfrac{1 + 3 + 5 + 7 + 9 + 11}{6}$$
    $$= \dfrac{36}{6} = 6$$
  • Question 7
    1 / -0
    Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries. Choose the correct answer from the given four options:
    Which country played maximum number of matches?

    Solution

    The given bar graph represents the number of matches played by cricket teams of different country.

    We can prepare frequency table from given bar graph as follows:

      Country                      No. of matches

       India                                     $$30$$

       Pakistan                               $$24$$

       West Indies                          $$20$$

       England                                $$28$$

       South Africa                         $$18$$

       Australia                               $$32$$

       Sri Lanka                              $$24$$

    Total number of students $$=176$$.

    The country that played maximum number of matches will have the highest number of matches.

    Clearly, the maximum number of matches are played by Australia $$(32)$$.

    Hence, option $$D$$ is correct.

  • Question 8
    1 / -0
    Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries. Choose the correct answer from the given four options:
    Ratio of the number of matches played by India to the number of matches played by Sri Lanka is:

    Solution

    The given bar graph represents the number of matches played by cricket teams of different country.

    We can prepare frequency table from given bar graph as follows:

      Country                      No. of matches

       India                                     $$30$$

       Pakistan                               $$24$$

       West Indies                          $$20$$

       England                                $$28$$

       South Africa                         $$18$$

       Australia                               $$32$$

       Sri Lanka                              $$24$$

    Total number of students $$=176$$.

    Then, the ratio of number of matches played by India to the number of matches played by Sri Lanka

    $$=\dfrac{\text{Number of matches played by India}}{\text{Number of matches played by Sri Lanka}}$$

    $$=\dfrac{30}{24}=\dfrac{5}{4}=5:4$$.

    Hence, the required ratio is $$5:4$$.

    Therefore, option $$B$$ is correct.

  • Question 9
    1 / -0
    What is the mode of $$19, 19, 15, 20, 25, 15, 20, 15$$?
    Solution
    Since observation $$15$$ is occuring the most in the data
    $$19,19,15,20,25,15,20,15$$
    19,19,15,20,25,15,20,15

    So, the mode of the given data is $$15$$
    .
    Hence, the correct alternative answer is (A).
  • Question 10
    1 / -0
    Four alternative options are given for each of the following statement . Select the correct  option .
    The mean of score $$ 10 , 15 , 12 , 15 , 15  $$ is
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