Find the mode in each of the following data collection.
8,6,7,6,5,4,`(1)/(2), 7 (1)/(2), 6 (1)/(2), 8 (1)/(2), 10,7,5,5(1)/(2), 8,9 7,5,6,8 (1)/(2),6`

Answer

To find the mode of the given data set, we need to identify the number that appears most frequently. Let's go through the data step by step.

**Data Set:**
8, 6, 7, 6, 5, 4, 1/2, 7 1/2, 6 1/2, 8 1/2, 10, 7, 5, 5 1/2, 8, 9, 7, 5, 6, 8 1/2, 6

**Step 1: Count the frequency of each number.**
- 4: appears 1 time
- 5: appears 3 times (5, 5, 5 1/2)
- 5 1/2: appears 1 time
- 6: appears 4 times (6, 6, 6, 6)
- 6 1/2: appears 1 time
- 7: appears 3 times (7, 7, 7)
- 7 1/2: appears 1 time
- 8: appears 3 times (8, 8, 8 1/2)
- 8 1/2: appears 1 time
- 9: appears 1 time
- 10: appears 1 time

**Step 2: Identify the number with the highest frequency.**
From our counts:
- 4: 1 time
- 5: 3 times
- 6: 4 times
- 7: 3 times
- 8: 3 times

The number that appears the most frequently is **6**, which appears **4 times**.

**Step 3: Conclusion**
The mode of the data set is **6**.

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