Question

Which data set has the highest median?
{1,6,15,7,15,18,14}
{1,10,8,29,14,17,3}
{11,15,16, 8,12,14}
{8, 20,13,14,12, 9}
Which data has the highest median?

Answer 1

To find the median of each data set, we first need to arrange each set in ascending order and then find the middle value.

1. **Data Set 1:** {1, 6, 15, 7, 15, 18, 14}
Sorted: {1, 6, 7, 14, 15, 15, 18}
Median: 14 (the 4th number)

2. **Data Set 2:** {1, 10, 8, 29, 14, 17, 3}
Sorted: {1, 3, 8, 10, 14, 17, 29}
Median: 10 (the 4th number)

3. **Data Set 3:** {11, 15, 16, 8, 12, 14}
Sorted: {8, 11, 12, 14, 15, 16}
Median: (12 + 14) / 2 = 13 (average of the 3rd and 4th numbers)

4. **Data Set 4:** {8, 20, 13, 14, 12, 9}
Sorted: {8, 9, 12, 13, 14, 20}
Median: (12 + 13) / 2 = 12.5 (average of the 3rd and 4th numbers)

Now, let's compare the medians:

- Data Set 1: Median = 14
- Data Set 2: Median = 10
- Data Set 3: Median = 13
- Data Set 4: Median = 12.5

The data set with the highest median is **Data Set 1** with a median of **14**.