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EEJ MAIN Mathematics QUESTION #7444
Question 1
The mean of the data set comprising of 16 observations is 16. If one of the observations valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data is:
  • 16.8
  • 16
  • 15.8
  • 14✔️
Correct Answer Explanation
Original sum = \(16 \times 16 = 256\). After deleting 16: new sum = \(256 - 16 = 240\). After adding 3, 4, 5: new sum = \(240 + 3 + 4 + 5 = 252\). Number of observations = \(16 - 1 + 3 = 18\). New mean = \(\frac{252}{18} = 14\).