Find the median of the following data set 6,2,59,12,11,9,9,54,54,46,2,32,43,1 1

For this case we have by definition that the median of a set of numbers is the average number in the set, after the numbers have been arranged from the lowest to the highest. If there is an even number of data, the median is the average of the two average numbers. So:

We order the numbers from least to greatest:

2,2,6,9,9,11,11,12,32,43,46,54,54,59

We have 14 numbers:

11.5

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1