Q257 / 270 · NDA 2016 (Phase 2) · Mathematics

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
  • Correct answer
    D
    Mean and mode

Solution

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.

Hence, the correct answer is option: 'D'.

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