Multiple choice

The mean deviation of the numbers $3,4,5,6,7$ from mean is

  1. $25$
  2. $5$
  3. $1.2$
  4. $0$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mean = (3+4+5+6+7)/5 = 25/5 = 5. Mean deviation = (|3-5| + |4-5| + |5-5| + |6-5| + |7-5|) / 5 = (2+1+0+1+2) / 5 = 6/5 = 1.2.

AI explanation

First, find the mean of the numbers by adding them to get 25 and dividing by 5, which gives 5. The absolute deviations of the numbers 3, 4, 5, 6 and 7 from this mean are 2, 1, 0, 1 and 2 respectively. Adding these absolute deviations gives a total of 6. Divide this sum by the number of observations, 5, to obtain the mean deviation of 1.2.

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