Question

Which data set has the highest median?

{1, 10, 8, 29, 14, 17, 3}

{11, 15, 16, 8, 12, 14}

{8, 20, 13, 14, 12, 9}

{1, 6, 15, 7, 15, 18, 14}

Answer 1

The data set with the highest median is {11, 15, 16, 8, 12, 14}.

Answer 2

may you explain you answer bot please

Answer 3

Certainly! To find the median of a data set, we arrange the numbers in order from smallest to largest, and then find the middle value.

For the first data set {1, 10, 8, 29, 14, 17, 3}, when we arrange the numbers in order we get:

1, 3, 8, 10, 14, 17, 29

The middle value is 10, so the median is 10.

For the second data set {11, 15, 16, 8, 12, 14}, when we arrange the numbers in order we get:

8, 11, 12, 14, 15, 16

The middle values are 14 and 15 (because there are an even number of values), so to find the median we take the average of these two values.

(14 + 15) / 2 = 14.5

So the median of this set is 14.5.

For the third data set {8, 20, 13, 14, 12, 9}, when we arrange the numbers in order we get:

8, 9, 12, 13, 14, 20

The middle value is 13, so the median is 13.

For the fourth data set {1, 6, 15, 7, 15, 18, 14}, when we arrange the numbers in order we get:

1, 6, 7, 14, 15, 15, 18

The middle value is 14, so the median is 14.

Therefore, we see that the second data set {11, 15, 16, 8, 12, 14} has the highest median, which is 14.5.

Answer 4

the highest median is 14

Answer 5

wrong