The table shows the distribution of hours spent at work by the employees of a factory in a week. Time (in hours) 20 - 29 30 - 39 40 - 49 50 - 59 60 - 69 70 ...

Assessment: WAEC SSCE - Further Mathematics - 2006 (Essay) Subject: Further Mathematics

Question 1 Report

The table shows the distribution of hours spent at work by the employees of a factory in a week.

Time (in hours)	20 - 29	30 - 39	40 - 49	50 - 59	60 - 69	70 - 79
No of persons	8	11	23	25	8	5

(a) Draw an ogive for the distribution.

(b) Using your graph, estimate the (i) lower quartile (ii) median (iii) 40th percentile (iv) number of employees that spent at least 50 hours 30 minutes at work.

Answer

Time (hours)	Frequency	Class boundaries	Cumulative frequency
20–29	8	19.5–29.5	8
30–39	11	29.5–39.5	19
40–49	23	39.5–49.5	42
50–59	25	49.5–59.5	67
60–69	8	59.5–69.5	75
70–79	5	69.5–79.5	80

Time (hours)	Frequency	Class boundaries	Cumulative frequency
20–29	8	19.5–29.5	8
30–39	11	29.5–39.5	19
40–49	23	39.5–49.5	42
50–59	25	49.5–59.5	67
60–69	8	59.5–69.5	75
70–79	5	69.5–79.5	80

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