In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0 - 10. Your rankings are 5, 9, 7, 2, 3.
Calculate the sample standard deviation, rounded to two decimal places.

A) $s = 4.1$
B) $s = 2.28$
C) $s = 5.2$
D) $s = 2.86$
E) $s = 8.2$

Question

In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0 - 10. Your rankings are 5, 9, 7, 2, 3.  
Calculate the sample standard deviation, rounded to two decimal places.
 
A) $s = 4.1$
B) $s = 2.28$
C) $s = 5.2$
D)   $s = 2.86$
E) $s = 8.2$

Quizplus · Accepted Answer

To calculate the sample standard deviation, first find the mean of the data: $\frac{5 + 9 + 7 + 2 + 3}{5} = 5.2$. Then, calculate the variance: $\frac{(5-5.2)^2 + (9-5.2)^2 + (7-5.2)^2 + (2-5.2)^2 + (3-5.2)^2}{4} = 8.2$. Finally, take the square root of the variance to find the standard deviation: $\sqrt{8.2} \approx 2.86$.

In Your Bid to Be Elected Class Representative, You Have s=4.1s = 4.1s=4.1

In Your Bid to Be Elected Class Representative, You Have $s = 4.1$