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All students in school took a physical fitness test. Four students want to estimate the mean score for the school. To do this, they each randomly chose 5 schoolmates and recorded their scores. The samples are shown in the table. Do not round your answers

All students in school took a physical fitness test Four students want to estimate the mean score for the school To do this they each randomly chose 5 schoolmat class=

Respuesta :

The Solution:

Given:

Part (a):

Find the sample means by the 4 students.

Student 1:

[tex]sample\text{ mean}=\frac{60+20+30+40+20}{5}=\frac{170}{5}=34[/tex]

Student 2:

[tex]Sample\text{ mean}=\frac{30+70+30+20+20}{5}=\frac{170}{5}=34[/tex]

Student 3:

[tex]sample\text{ mean}=\frac{20+40+40+60+20}{5}=\frac{180}{5}=36[/tex]

Student 4:

[tex]Sample\text{ mean}=\frac{40+50+50+20+30}{5}=\frac{190}{5}=38[/tex]

Part (b):

Find the range of the sample means.

[tex]Range=largest\text{ mean}-smallest\text{ mean}[/tex][tex]Range=38-34=4[/tex]

Part (c):

Thus, the correct answers are [options B and D]

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