Question

Fill in the Blank 3 points
The median is the choose your answer... value when the data are arranged from smallest to largest.
a) Find the median of this data set: 83, 27, 11, 78, 50, 33, 46.
Median: type your answer...
b) Find the median of this data set: 83, 27, 11, 78, 90, 50, 33, 46.
Median: type your answer...

Answer 1

The median is the **middle** value when the data are arranged from smallest to largest.

### a) Find the median of this data set: 83, 27, 11, 78, 50, 33, 46.

1. First, arrange the data from smallest to largest:
- 11, 27, 33, 46, 50, 78, 83

2. Since there are 7 data points (an odd number), the median is the middle number, which is the 4th number in the ordered list:
- Median: **46**

### b) Find the median of this data set: 83, 27, 11, 78, 90, 50, 33, 46.

1. First, arrange the data from smallest to largest:
- 11, 27, 33, 46, 50, 78, 83, 90

2. Since there are 8 data points (an even number), the median is the average of the two middle numbers:
- The two middle numbers are the 4th and 5th numbers in the ordered list (46 and 50).
- Median: \( \frac{46 + 50}{2} = \frac{96}{2} = 48 \)

### Summary:
- a) Median: **46**
- b) Median: **48**