Question

The weights of new born babies (in kg) in a hospital on a particular day are as follow:

2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4

(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies were born on that day?
(vi) How many babies weigh below 2.5 kg?
(vii) How many babies weigh more than 2.8?
(viii) How many babies weigh 2.8 kg?

Answer 1

(i) Arranging the weights of the newborn babies in the descending order, we get: 3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1.

(ii) In a descending order, the first number is always the highest.
∴ Highest weight = 3.1kg.

(iii) In a descending order, the last number is always the lowest.
∴ Lowest weight = 2.1kg.

(iv) Range = Highest weight − Lowest weight

= 3.1kg − 2.1kg = 1.0kg

(v) We can count the number of babies born on that particular day by counting the number of observations.
∴ Number of babies born on that day = 15

(vi) Babies which weigh 2.1, 2.2, 2.3 and 2.4kg are the ones to weigh less than 2.5kg.
∴ Number of babies below 2.5kg = 4

(vii) Babies which weigh 2.9, 2.9, 3.0 and 3.1kg are the ones to weigh more than 2.8kg.​
∴ Number of babies above 2.8kg = 4

(viii) Number of babies weighing 2.8kg = 2