For which distributions is the median the best measure of center

1st and 4th distributions are correct choices.

Step-by-step explanation:

Please find the attachment.

We have been given 4 distributions and we are asked to find the distributions for which median is the best measure of center.

We know that median is best measure of center for highly skewed data as median is less affected by large value outliers.

Upon looking at our given diagram we can see that data set represented by 1st distribution is left skewed and data represented by 4th distribution is left skewed, therefore, median will be the best measure of center for 1st and 4th distributions.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3