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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.


Solution

(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
Mean=Sum of all observations (weight of 12 persons)Number of observations=78812=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

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