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.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

30 people weigh 160 pounds or more