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Question 36

A data set contains the values 2, 3, 4, 5 and 100. Which statements about this data set are true? Select all that apply.

  1. The median is 22.8 and the mean is 4.
  2. The value 100 pulls the median upwards as far as it pulls the mean.
  3. The median is 4.Correct answer
  4. The median is 100, the largest value.
  5. The mean of the same five values is 22.8.Correct answer

Explanation

Five values in order put 4 in the central position, so the median is 4, while the total of 114 divided by 5 values gives 22.8. The single large value changes the total and therefore lifts the mean far above the bulk of the data, but it occupies just one place at the top of the ranking, so it leaves the centre exactly where it was and does not move the two averages by comparable amounts.

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Question 36: A data set contains the values 2, 3, 4, 5 and 100. Which… · Statistics and Probability · Questena