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Question

Table below shows the frequency f with which 'x' alpha particles were radiated from a diskette 

x:0123456789101112f:5120338352553240827313943271042


Solution

(i) Mean ¯¯¯x=fixifi

=100782600=3.88

xififixixi¯¯¯¯¯X(xi¯¯¯¯¯X)2fi(xi¯¯¯¯¯X)205103.8815.05767.5512032032.888.291682.87352515750.880.77404.25453221280.120.0147.448540820401.121.25510627316382.124.491225.7771399733.129.731352.478433444.116.97729.719272435.1226.12707.6710101006.1237.45374.5114447.1250.96202.76122248.1265.93131.86fi=Nfixifi(xi¯¯¯¯¯X)2=260010078=9448.848
 

Variance, fi(xi¯¯¯¯X)2N=9448.8482600=3.63

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