8. For the date 4, 16, 20, 24, 38,57,59,60,60,74, compute the 10% trimmed mean.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:**Problem:** For the data 4, 16, 20, 24, 38, 57, 59, 60, 60, 74, compute the 10% trimmed mean.
**Solution Explanation:**
The 10% trimmed mean involves removing the top 10% and the bottom 10% of data points before calculating the mean. Here's how to compute it for the given data set:
1. **Order the data set:** Arrange the given numbers in ascending order.
- Ordered data: 4, 16, 20, 24, 38, 57, 59, 60, 60, 74
2. **Determine the number of data points to trim:** With 10 data points:
- Trim 10% of 10 = 1 data point from each end.
3. **Trim the data:** Remove the lowest and highest data points.
- Trimmed data: 16, 20, 24, 38, 57, 59, 60, 60
4. **Calculate the mean of the trimmed data:**
- Mean = (16 + 20 + 24 + 38 + 57 + 59 + 60 + 60) / 8
- Mean = 334 / 8
- Mean = 41.75
Thus, the 10% trimmed mean of the data set is 41.75.
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