Multiple choice

What is the mean deviation of the first 10 natural numbers?

  1. 2

  2. 2.5

  3. 3

  4. 3.5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The mean of the first 10 natural numbers is 5.5. The mean deviation is the average of the absolute differences from the mean: (|1-5.5| + |2-5.5| + ... + |10-5.5|) / 10 = (4.5 + 3.5 + 2.5 + 1.5 + 0.5 + 0.5 + 1.5 + 2.5 + 3.5 + 4.5) / 10 = 25 / 10 = 2.5.

AI explanation

The mean of the first 10 natural numbers is (1+2+3+4+5+6+7+8+9+10)/10 = 5.5. The mean deviation about the mean is the sum of absolute deviations from 5.5 divided by 10. The deviations are 4.5, 3.5, 2.5, 1.5, 0.5, 0.5, 1.5, 2.5, 3.5, and 4.5, which sum to 25. Therefore, the mean deviation is 25/10 = 2.5.

Keep practicing — related questions