Question

Question 55
The following are weights (in kg) of 12 persons:
70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60
(a) Find the mean of the weights of the people.
(b) How many people weight above the mean weight?
(c) Find the range of the given data.

Answer 1

(a) The weights of 12 persons are 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78 and 60.
Sum of weights of 12 people
= 70 + 62 + 54 + 57 + 62 + 84 + 75 + 59 + 62 + 65 + 78 + 60 = 788
Number of observations (persons) = 12
$\therefore Mean=\frac{Sumofallobservations\left(weightof12persons\right)}{Numberofobservations}=\frac{788}{12}=65.66$
(b) Weights above 65.66 are 70, 84, 75 and 78, i.e. 4 persons.
(c) Range = Maximum observation - Minimum observation = 84 - 54 = 30