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Statistics Test - 41

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Statistics Test - 41
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  • Question 1
    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 2
    1 / -0
    Upper limit of class interval $$ 75-85 $$ is 
    Solution

  • Question 3
    1 / -0
    Size of the class $$ 150 -175 $$ is 
    Solution
    We know that,
    Size of a class $$=$$ Upper limit $$-$$ Lower limit

    $$\therefore$$  Size of the class $$ 150-175 $$
    $$= 175-150\\=25 $$.

    Hence, option (C) is correct.
  • Question 4
    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 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:
    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 6
    1 / -0
    Consider the following distribution:
    More than or equal to 063
    More than or equal to 10
    58
    More than or equal to 2055
    More than or equal to 3051
    More than or equal to 4048
    More than or equal to 5042
    The frequency of the class 30-40 is
    Solution
    Marks Obtained              Number of students        Cumulative Frequency
    $$0-10$$                $$(63-58)=5$$                                          $$5$$
    $$10-20$$                $$(58-55)=3$$              $$3$$
    $$20-30$$                $$(55-51)=4$$              $$4$$
    $$30-40$$                $$(51-48)=3$$              $$3$$
    $$40-50$$                $$(48-42)=3$$              $$6$$
    $$50<$$                    $$42=42$$            $$42$$

    Hence, frequency in the class interval $$30-40$$ is $$3$$.
  • 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:
    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 8
    1 / -0
    What is the class-mark of class $$25-35$$?
    Solution
    Class-mark of $$25-35$$
    $$=\dfrac {25+35}{2}=30$$

    Hence, option D
  • Question 9
    1 / -0
    Marks obtain by five students in math are $$20, 25, 15, 35 $$ and $$ 30 $$ its range will be :
    Solution
    Range = Maximum value - minimum value $$ = 35 - 15 = 20 $$ 
    Thus (B) is correct
  • Question 10
    1 / -0
    The class mark of the class $$15.5 - 25.5$$ is equal to :
    Solution
    The average of the class limits of an interval is called a class mark or mid-value of the interval. Class marks are also known as the central value of the interval.

    So, Class mark $$=\dfrac{15.5+25.5}{2}=20.5$$
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