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JEE Main & Advanced Mathematics Statistics Question Bank Self Evaluation Test - Statistics

  • question_answer
    The scores of 15 students in an examination were recorded as 10, 5, 8, 16, 18, 20, 8, 10, 16, 20, 18, 11, 16, 14 and 12. After calculating the mean, median and mode, an error is found. One of the values is wrongly written as 16 instead of 18. Which of the following measures of central tendency will change?

    A) Mean and median

    B) Median and mode

    C) Mode only

    D) Mean and mode

    Correct Answer: D

    Solution :

    [d] Mean of the scores \[=\frac{202}{15}\] Mean of the correct scores \[=\frac{200}{15}\] i.e., mean changes. Median is same for both cases i.e., 14. Mode is proportional to mean.


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