Question

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Mean Absolute Deviation Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items




Question
Use the table to answer the question.

This table shows the relationship between data points and their corresponding absolute deviations.
Data Point Absolute Deviation
5 17.3
10 12.3
45
12 10.3
27
35 12.7
The table lists Jude’s data for how many people walk into a store each half hour. The mean is 22.3. Identify the absolute deviation for each missing value. Round each value to the nearest tenth.

(1 point)
Data Point Absolute Deviation
5 17.3
10 12.3
45
12 10.3
27
35 12.7

Answer 1

To find the absolute deviations for the missing values in the table, we will use the formula for absolute deviation:

\[
\text{Absolute Deviation} = |\text{Data Point} - \text{Mean}|
\]

Given that the mean is 22.3, we will calculate the absolute deviation for the data points 45, 27, and then fill in the missing values.

1. **For Data Point 45:**
\[
\text{Absolute Deviation} = |45 - 22.3| = |22.7| = 22.7
\]

2. **For Data Point 27:**
\[
\text{Absolute Deviation} = |27 - 22.3| = |4.7| = 4.7
\]

Now we can fill in the table with the calculated absolute deviations:

| Data Point | Absolute Deviation |
|------------|---------------------|
| 5 | 17.3 |
| 10 | 12.3 |
| 45 | 22.7 |
| 12 | 10.3 |
| 27 | 4.7 |
| 35 | 12.7 |

So the absolute deviations for the missing values are:
- For Data Point 45: 22.7
- For Data Point 27: 4.7