Which data set has a greater spread? why? set a: {38, 12, 23, 48, 55, 16, 18} set b: {44, 13, 24, 12, 56} has a greater spread because .

Set B has a greater spread , because it has a higher IQR

Step-by-step explanation:

One way to measure the spread of a data set is to break it into quarters and measure the interquartile range (IQR).

Set A: {38, 12, 23, 48, 55, 16, 18}

(a) Sort the numbers

(12, 16, 18, 23, 38, 48, 55}

(b) First quartile

The median of 12, 16, and18 is 16.

First quartile = 16

(c) Third quartile

The median of 38, 48, and 55 is 48.

Third quartile = 48

(d) IQR

IQR = 48 - 16  = 32

Set B: {44, 13, 24, 12, 56}

(a) Sort the numbers

(12, 13, 24, 44, 56}

(b) First quartile

The median of 12 and 13 is 12.5.

First quartile = 12.5

(c) Third quartile

The median of 44 and 56  is 50.

Third quartile = 50

(d) IQR

IQR = 50 - 12.5 = 37.5

Set B has the greater spread, because it has the higher IQR.

The Box plot below shows that Set B has the greater spread.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk