Mathematics, 31.05.2020 03:59 Ivy2k

Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two given datasets are equal, what is the value of ( − )2?

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We have been given that two datasets arranged in descending order are: $\{8, x, 4,1\}$ and $\{9, y, 5,2\}$ . We are asked to find the value of (y-x)^2 , if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

$\{1,4,x,8\}$ and $\{2,5,y,9\}$

Since our data sets have 4 data points, so median will be average of middle two terms.

$\frac{4+x}{2}$ and $\frac{5+y}{2}$

Now we will equate both median as we are told that median of both data sets are equal.

$\frac{5+y}{2}=\frac{4+x}{2}$

Cross multiply:

2(5+y)=2(4+x)

Divide both sides by 2:

$\frac{2(5+y)}{2}=\frac{2(4+x)}{2}$

5+y=4+x

5-5+y-x=4-5+x-x

y-x=-1

Let us square both sides of our equation.

(y-x)^2=(-1)^2

(y-x)^2=1

Therefore, the value of (y-x)^2 would be 1.

Answer from: Quest

the amount you'd have after the work is $1.55

step-by-step explanation:

you subtract 95% from $31.

Answer from: Quest

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab in the y coordinate

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

x coordinate

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

y coordinate

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

x coordinate

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

y coordinate

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

x coordinate

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

y coordinate

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

x coordinate

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

y coordinate

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

x coordinate

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

y coordinate

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

x coordinate

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

y coordinate

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

x coordinate

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

y coordinate

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

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Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two...

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