Multiple choice

Mean deviation of the observations 70, 42, 63,34, 44, 54, 55, 46, 38, 48 from median is

  1. $7.8$
  2. $8.6$
  3. $7.6$
  4. $8.8$
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Arranging the ten observations in ascending order gives 34, 38, 42, 44, 46, 48, 54, 55, 63, 70, so the median is the average of the fifth and sixth terms: 46 plus 48 divided by 2 equals 47. The absolute deviations of the observations from 47 are 23, 9, 16, 3, 1, 8, 9 and 23, which sum to 86. We divide this sum by 10 to get the mean deviation, resulting in 8.6.