Question

Find the median in these two data sets

83,27,11,78,50,33,46
83,27,11,78,90,50,33,46

Answer 1

To find the median of each data set, we need to follow these steps:

1. **Order the data sets from least to greatest.**
2. **Identify the middle value(s).**

### For the first data set:
**Data set:** 83, 27, 11, 78, 50, 33, 46

**Step 1: Order the numbers**
Ordered data: 11, 27, 33, 46, 50, 78, 83

**Step 2: Find the median**
Since there are 7 numbers (an odd count), the median will be the middle number, which is the 4th number in the sorted list:
- **Median:** 46

### For the second data set:
**Data set:** 83, 27, 11, 78, 90, 50, 33, 46

**Step 1: Order the numbers**
Ordered data: 11, 27, 33, 46, 50, 78, 83, 90

**Step 2: Find the median**
Since there are 8 numbers (an even count), the median will be the average of the 4th and 5th numbers:
- 4th number: 46
- 5th number: 50
- **Median:** (46 + 50) / 2 = 48

### Summary
- **Median of the first data set:** 46
- **Median of the second data set:** 48