Question

The table below shows the scores on a math test.

Answer 1

With the use of a calculator with statistical functions, the standard deviation was found to be 12.54

Answer 2

Answer:

1572.5  

Step-by-step explanation:

David : 75  

Aaron : 75  

Ashley : 60  

Gina : 75  

Andrew : 75  

Kei : 95  

Monica : 100  

Anna : 60  

Lucas : 75  

Jennifer : 65

First calculate the mean  

$Mean = \frac{\text{Sum of all observations}}{\text{Total no. of observations}}$

So, $Mean = \frac{75+75+60+75+75+95+100+60+75+65}{10}$

$Mean = 75.5$

Standard deviation = $\sum (x_i-\mu)^2$

So, Standard deviation = $(75-75.5)^2+(75-75.5)^2+(60-75.5)^2+(75-75.5)^2+(75-75.5)^2+(95-75.5)^2+(100-75.5)^2+(60-75.5)^2+(75-75.5)^2+(65-75.5)^2$

Standard deviation = $1572.5$

Hence the standard deviation is 1572.5