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NDA 2023 Maths · Mathematics · Statistics · easy

The mean and the median of the data 1,2,3,4,5 are equal. 2. A data set cannot have more than one mode.

Single correct option

Consider the following statements:
1. The mean and the median of the data 1,2,3,4,51,2,3,4,5 are equal.
2. A data set cannot have more than one mode.
Which of the statements given above is/are correct?
  1. A. 1 only
  2. B. 2 only
  3. C. Both 1 and 2
  4. D. Neither 1 nor 2
Show answer and solution

Answer: (A) 1 only

For 1,2,3,4,51,2,3,4,5 the mean is 33 and the median is 33, so Statement 1 is true. A data set can be bimodal or multimodal (for example 1,1,2,2,31,1,2,2,3 has modes 11 and 22), so Statement 2 is false.
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