The table below gives the ages, to the nearest 5 years of 50 people.
Age in years
10
15
20
25
30
No of people
8
19
10
7
6
(a) Construct a cumulative frequency table for the distribution. (b) Draw a cumulative frequency curve (Ogive) (c) From your Ogive, find the : (i) median age ; (ii) number of people who are at most 15 years of age ; (iii) number of people who are between 20 and 25 years of age.
Explanation
(a)
Age in years
No of people
Cum Freq
10
8
8
15
19
27
20
10
37
25
7
44
30
6
50
(b) (c)(i) Median age = 14.5 years (ii) Number of people who are at most 15 years of age = 27 people (iii) Number of people who are between 20 and 25 years = people who are 25 years - people who are 20 years = 44 - 37 = 7 people
