The ten test marks of two students are compared. Which student gets the more consistent mark? (calculate the standard deviation) Sue: 75, 59, 58, 72, 80, 66, 71, 79, 68, 55Leopold: 90, 83, 55, 84, 72, 63, 50, 65, 52, 91A: LeopoldB: Sue

Respuesta :

Given..

Leopold: 90, 83, 55, 84, 72, 63, 50, 65, 52, 91

Sue: 75, 59, 58, 72, 80, 66, 71, 79, 68, 55

For Leopold:

[tex]\frac{(90-70.5)^2+\cdots+(91-70.5)}{10}[/tex][tex]\frac{2230.5}{10}=\sqrt[]{223.05}\text{ = }14.934858553063[/tex]

SD for Leopold = 14.934858553063

For Sue:

[tex]\frac{(75-68.3)^2+\cdots+(55-68.3)^2}{10}[/tex][tex]\frac{692.1}{10}=\sqrt[]{69.21\text{ = }8.3192547743172}[/tex]

SD for Sue = 8.3192547743172

Option B or Sue is the answer