NDA 2016 Mathematics question
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?
Answer: (D)
Solution
Replacing a 16 by 18 increases the total, so the mean changes. Sorted data: 5, 8, 8, 10, 10, 11, 12, 14, 16, 16, 16, 18, 18, 20, 20; the median (8th value) is 14, and
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