Question

What data set has the highest median?
*
1 point
{4, 7, 9, 12, 14}
{1, 5, 10, 19}
{3, 4, 6, 8, 11, 22}
{4, 5, 7, 12, 14, 15}

Answer 1

To determine which data set has the highest median, we need to find the median of each set.

1. **Set 1: {4, 7, 9, 12, 14}**
- The median is the middle number. With 5 numbers, the median is the 3rd number.
- Median = 9

2. **Set 2: {1, 5, 10, 19}**
- This set has 4 numbers. The median is the average of the 2nd and 3rd numbers.
- Median = (5 + 10) / 2 = 7.5

3. **Set 3: {3, 4, 6, 8, 11, 22}**
- This set has 6 numbers. The median is the average of the 3rd and 4th numbers.
- Median = (6 + 8) / 2 = 7

4. **Set 4: {4, 5, 7, 12, 14, 15}**
- This set has 6 numbers. The median is the average of the 3rd and 4th numbers.
- Median = (7 + 12) / 2 = 9.5

Now we can summarize the medians:
- Set 1 median = 9
- Set 2 median = 7.5
- Set 3 median = 7
- Set 4 median = 9.5

The data set with the highest median is **Set 4: {4, 5, 7, 12, 14, 15}**, with a median of 9.5.