Which data set has the highest standard deviation (without doing calculations)?

a) 1,2,3,4

b) 1,1,1,4

c) 1,2,2,4

d) 4,4,4,4

B)1,1,1,4

Step-by-step explanation:

A.1,2,3,4

Mean=

x      

1       -1.5                                2.25

2       -0.5                              0.25

3         0.5                              0.25  

4          1.5                               2.25

B.

Mean=

0.5625

0.5625

0.5625

5.0625

C.

Mean=

1.5625

0.0625

0.0625

3.0625

D.

0

0

0

0

We know that

S.D is directly proportional to  .

When is highest  then the S.D is also highest.

We can see that  the value of   is highest  in option B.

Therefore, S.D of the date set of  option B is highest.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

i'm a sophomore in connections, i'd recommend checking on jishka.com they have a large range of questions and answers from our school.