Question

The passing yards for the top 5 quarterbacks in the country are 3,832,3,779,3,655,3,642,and 3,579 . Find the variance and standard deviation. Round to the nearest hundredth

Answer 1

Answer:

variance = 8732.24

Standard Deviation = 93.45

Step-by-step explanation:

The passing yards for the top 5 quarterbacks in the country are 3,832,3,779,3,655,3,642,and 3,579 . Find the variance and standard deviation. Round to the nearest hundredth

5 Values

3832

3779

3655

3642

3579

Mean = (3832 + 3779 + 3655 + 3642 + 3579)/5

= 18487/5

= 3697.4

Variance = ∑(x - Mean)² / n  

=( (3832 - 3697.4)² + (3779 - 3697.4)² + (3655 - 3697.4)²+ (3642 - 3697.4)² +(3579 - 3697.4)² )/5

= (18117.16 + 6658.56 + 1797.76 + 3069.16 + 14018.56)/5

= 43661.2/5

= 8732.24

Standard Deviation = √Variance = √8732.24 = 93.45