364 Continuous data (Chapter 17)3 A selection of measuring bottles were examined and their capacities were noted. The results are
given in the table below:a Draw a histogram to illustrate this information. b What is the modal class?4
a Represent this data on a histogram.
b Find the modal class.
c Estimate the mean height of the plants.5 The weekly wages of employees in a factory are recorded in the table below.a Draw a cumulative frequency graph to illustrate this information.
b Use the graph to estimate:
i the median wage
ii the wage that is exceeded by20%of the employees.Capacity (Clitres) 06 C< 0 : 5 0 : 56 C< 1 16 C< 2 26 C< 3 36 C< 5
Frequency 13 18 24 18 16Height (hcm) Frequency
06 h< 10 11
106 h< 20 14
206 h< 30 20
306 h< 40 15
406 h< 60 18
606 h< 100 10Weekly wage ($w) 06 w< 4004006 w< 8008006 w< 120012006 w< 160016006 w< 2000
Frequency 20 60 120 40 10The heights of plants in a field were measured and the
results recorded alongside:Review set 17A
#endboxedheading1 A frequency table for the masses of eggs (mgrams) in a carton
marked ‘ 50 g eggs’ is given below.
a Explain why ‘mass’ is a continuous variable.
b What is the modal class? Explain what this means.
c Estimate the mean of the data.
d Describe the distribution of the data.2 The speeds of vehicles (vkm/h) travelling along a stretch of road
are recorded over a 60 minute period. The results are given in
the table alongside.
a Estimate the mean speed of the vehicles.
b Find the modal class.
c What percentage of drivers exceeded the speed limit of
60 km/h?
d Describe the distribution of the data.Speed (vkm/h) Frequency
406 v< 45 14
456 v< 50 22
506 v< 55 35
556 v< 60 38
606 v< 65 25
656 v< 70 10Mass (g) Frequency
486 m< 49 1
496 m< 50 1
506 m< 51 16
516 m< 52 4
526 m< 53 3IGCSE01
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y:\HAESE\IGCSE01\IG01_17\364IGCSE01_17.CDR Thursday, 23 October 2008 12:28:48 PM PETER