Question

The list shows the number of dollars Ariana saved each week.
0​, 2​, 8​, 2​, 1​, 0
Question content area bottom
Part 1
What is the difference between the mean and the median of these​ amounts?
A.0.25
0.25
B.0.67
0.67
C.1.34
1.34
D.1.09
1.09

Answer 1

To find the difference between the mean and the median of the saved amounts:

1. **List the amounts**: 0, 2, 8, 2, 1, 0
2. **Calculate the mean**:
- Sum of amounts: \(0 + 2 + 8 + 2 + 1 + 0 = 13\)
- Number of weeks: 6
- Mean = \( \frac{13}{6} \approx 2.1667 \)

3. **Calculate the median**:
- First, sort the amounts: 0, 0, 1, 2, 2, 8
- Since there are 6 numbers (even), the median is the average of the 3rd and 4th numbers.
- 3rd number: 1, 4th number: 2
- Median = \( \frac{1 + 2}{2} = \frac{3}{2} = 1.5 \)

4. **Find the difference between the mean and the median**:
- Difference = Mean - Median = \( 2.1667 - 1.5 = 0.6667 \)

This rounds approximately to \(0.67\).

So, the correct answer is **B. 0.67**.