Multiple choice

Find the mode and median of the following observations: 13, 19, 32, 31, 29, 21, 51, 14, 53, 29, 42, 71

  1. Mode = 51, Median = 29

  2. Mode = 29, Median = 51

  3. Mode = 29, Median = 30

  4. Mode = 31, Median = 14

  5. Mode = 30, Median = 14.5

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C Correct answer
Explanation

Sorted data: 13, 14, 19, 21, 29, 29, 31, 32, 42, 51, 53, 71. Mode is the most frequent value, which is 29. Median is the average of the 6th and 7th values: (29 + 31) / 2 = 30.

AI explanation

To find the median, arrange the twelve observations in ascending order: 13, 14, 19, 21, 29, 29, 31, 32, 42, 51, 53, 71. The median is the average of the 6th and 7th values, which is (29 + 31) / 2 = 30. The mode is the most frequent value, which is 29.