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TRANSACTIONS LIVERPOOL BIOLOGICAL SOCIETY. 



series. These graphs are not published except one or 

 two intended to illustrate the methods employed. 



I have made use of this method of representing the 

 frequency distributions of the kind described in the 

 Lancashire Annual Report for 1909, p. 49. It was 

 suggested to me by my friend H. J. Buchanan-Wollaston, 

 but it was first applied in general statistical work by 

 A. L. Bowley (Elements of Statistics, p. 155, 1902), It 

 is by far the best way of dealing with data of this kind, 



SO £2 Eh- ' Bb ' 28 30 ' 32 34- cms. 



Fig. 1. Integrated length-frequencies of plaice caught on the Nelson Buoy- 

 grounds during August 1909-13. The +'s indicate the actual 

 points plotted. 



for one sees from the graphs, at a glance, the dispersion 

 of the frequencies and the points about which the latter 

 are concentrated. The accompanying diagram is the graph 

 of the integrated length-frequencies of all the plaice 

 caught in the six-inch trawl-net on the Nelson Buoy 

 fishing grounds during the Augusts of 1909-1913. The 



