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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Statistics

NDA 2016 · Mathematics · Statistics

The scores of 15 students in an examination were recorded as...

The scores of 15 students in an examination were recorded as 10,5,8,16,18,20,8,10,16,20,18,11,16,1410,5,8,16,18,20,8,10,16,20,18,11,16,14 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?

Options

  1. AMean and median
  2. BMedian and mode
  3. CMode only
  4. DMean and mode

Correct answer

D. Mean and mode

Step-by-step solution

Mean of the scores =20215=\frac{202}{15} Mean of the correct scores =20015=\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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