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  3. 9th Class
  4. Mathematics
  5. Statistics

9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other label led as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Median of the observations 14, 18, x + 2, x + 4 is 24. Then the value of x is 28. Reason: If the number of observation is even, then median \[=\frac{\left( \frac{n}{2} \right)\text{th}\,\text{observation}+{{\left( \frac{n}{2}+1 \right)}^{th}}\text{observation}}{2}\]

    A)  If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

    B)  If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

    C)  If Assertion is correct but Reason is incorrect.

    D)  If Assertion is incorrect but Reason is correct.

    Correct Answer: A

    Solution :

         Assertion: Number of observation n = 4 (even) Median \[=\frac{\text{Value}\,\text{of}{{\left( \frac{\text{4}}{\text{2}} \right)}^{\text{th}}}\text{observation + value}\,\text{of}{{\left( \frac{\text{4}}{\text{2}}\text{+1} \right)}^{\text{th}}}\text{observation}}{2}\] \[\Rightarrow \]            \[24=\frac{x+2+18}{2}=\frac{20+x}{2}\] \[\Rightarrow \]            \[x=28\] So, Both Assertion and Reason is correct and ?Reason? is the correct reasoning for assertion.


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