Multiple choice

The mean and median of 5 observations are 9 and 8, respectively. If 1 is subtracted from each observation, then the new mean and the new median will, respectively be

  1. 8 and 7

  2. 9 and 7

  3. 8 and 9

  4. Cannot be determined due to insufficient data
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If a constant is subtracted from each observation, the mean decreases by that constant and the median also decreases by that constant. New mean = 9 - 1 = 8. New median = 8 - 1 = 7.

AI explanation

When a constant value is subtracted from every observation in a dataset, both the mean and median decrease by that exact same constant. Subtracting 1 from the original mean of 9 gives the new mean as 8. Similarly, subtracting 1 from the original median of 8 gives the new median as 7.

Keep practicing — related questions