of Error and Correlated Averages. 521 



having two branches ; between which the values of V + £ 

 should be equally distributed. The curve has two maximum 



Fig. 2. 

 Y 







X 



points ti = +\/ -q, and is concave from zero up to a distance 



from the centre, on either side, \/2 times as great as that of 

 the maximum-point ; after which the curve becomes convex. 

 As the maximum-point is near the Median of the corresponding 

 limb, which is V'476...c (corresponding to £= ±'476. ,.c, 

 which is the quartile of the original curve), and the curve is 

 concave about that central region, its general appearance will 

 not differ very sensibly from that of the Probability-curve. 

 The result will not be very different if for the square root be 



Fig. 3. 



substituted the tth root. Fig. 3 is designed to illustrate 

 this type. The probable errors, both of the original and the 



