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1994 WAEC Mathematics Theory The table below gives the ages, to the nearest 5 years of 50 people. Age...

Mathematics
WAEC 1994

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.

 

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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


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