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Question 70

The values 10, 12 and 14 have a mean of 12 and a median of 12. The value 100 is now added to the data set. Select all statements that are true about the four values that result. Select all that apply.

  1. The new median is still 12, because 12 was the middle value before
  2. The new mean is 34Correct answer
  3. The new mean is still 12, because one added value cannot change a mean
  4. The new median is 13Correct answer

Explanation

The four values total 136, so the average built from the total climbs from 12 to 34, while the ordered set 10, 12, 14 and 100 has two central values whose mean is 13. Leaving the middle at 12 is the usual mistake, because with an even count the middle is the mean of the two central values, and the arrival of a fourth value moves that pair up by one.

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Question 70: The values 10, 12 and 14 have a mean of 12 and a median of… · Statistics and Probability · Questena