Distribution 6399

For the statistical file:

2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9

Determine the sample variance and the median, and from the empirical distribution function, determine P (2.1 <ξ <3.5).

Correct answer:

r =  1.1782
m =  3.35
P =  0.413

Step-by-step explanation:

2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9 n=14 x=(2.3+3.4+1.8+3.2+3.2+1.9+3.3+4.5+4.3+5.0+4.8+4.3+4.3+1.9)/n=(2.3+3.4+1.8+3.2+3.2+1.9+3.3+4.5+4.3+5.0+4.8+4.3+4.3+1.9)/14=70241=370313.4429  r=((2.3x)2+(3.4x)2+(1.8x)2+(3.2x)2+(3.2x)2+(1.9x)2+(3.3x)2+(4.5x)2+(4.3x)2+(5.0x)2+(4.8x)2+(4.3x)2+(4.3x)2+(1.9x)2)/n=((2.33.4429)2+(3.43.4429)2+(1.83.4429)2+(3.23.4429)2+(3.23.4429)2+(1.93.4429)2+(3.33.4429)2+(4.53.4429)2+(4.33.4429)2+(5.03.4429)2+(4.83.4429)2+(4.33.4429)2+(4.33.4429)2+(1.93.4429)2)/14=1.1782
1.8, 1.9, 1.9, 2.3, 3.2, 3.2, 3.3, 3.4, 4.3, 4.3, 4.3, 4.5, 4.8, 5. m=(3.3+3.4)/2=3.35
s=r=1.17821.0854  P1=0.108 P2=0.521 P=P2P1=0.5210.108=0.413



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