Multiple choice

Alex is taking readings of an experiment. He calculated the algebraic sum of deviation of 25 observations which were measured from 40 was found out to be 5. What is the mean of the readings?

  1. 42.8

  2. 41.4

  3. 40.7

  4. 40.2

  5. NA
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Mean = Assumed Mean + (Sum of deviations / Number of observations). Here, Mean = 40 + (5 / 25) = 40 + 0.2 = 40.2.

AI explanation

The algebraic sum of the deviations from a given value equals the number of observations multiplied by the difference between the actual mean and that value. Setting up the equation for 25 observations gives 5 equals 25 multiplied by the quantity mean minus 40. Solving this equation yields the mean as 40.2.

Keep practicing — related questions