Question

Which data set has the highest median?

a {11, 15, 16, 8, 12, 14}
b {8, 20, 13, 14, 12, 9}
c {1, 6, 15, 7, 15, 18, 14}
d {1, 10, 8, 29, 14, 17, 3}

Answer 1

[AI-generated answer — Bot]

c {1, 6, 15, 7, 15, 18, 14} has the highest median, which is 15.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine which dataset has the highest median, we need to calculate the median for each dataset. The median is the middle value in a set of numbers when they are arranged in ascending order.

a) {11, 15, 16, 8, 12, 14}
Arranging the numbers in ascending order: {8, 11, 12, 14, 15, 16}
The median is the middle value, which is 14.

b) {8, 20, 13, 14, 12, 9}
Arranging the numbers in ascending order: {8, 9, 12, 13, 14, 20}
The median is the middle value, which is 13.

c) {1, 6, 15, 7, 15, 18, 14}
Arranging the numbers in ascending order: {1, 6, 7, 14, 15, 15, 18}
The median is the middle value, which is 14.

d) {1, 10, 8, 29, 14, 17, 3}
Arranging the numbers in ascending order: {1, 3, 8, 10, 14, 17, 29}
The median is the middle value, which is 10.

Comparing the medians of each dataset, we can see that:
a) Median: 14
b) Median: 13
c) Median: 14
d) Median: 10

Among the given datasets, dataset a and c have the highest median value of 14.