Determine the mean, median, and mode of following data set:

96.9

96.9

71.4

82.6

96.9

76

77

67

65.4

59.9

Mean =

Median =

Mode =

Round your answers to the nearest hundredth as needed.

Let's calculate the mean, median, and mode for the given data set:

**Data Set:** 96.9, 96.9, 71.4, 82.6, 96.9, 76, 77, 67, 65.4, 59.9

1. **Mean:**
   \[
   \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{96.9 + 96.9 + 71.4 + 82.6 + 96.9 + 76 + 77 + 67 + 65.4 + 59.9}{10} = \frac{  812.9}{10} = 81.29
   \]

2. **Median:**
   First, arrange the data in ascending order: 
   59.9, 65.4, 67, 71.4, 76, 77, 82.6, 96.9, 96.9, 96.9.
   Since there are 10 values (even), the median is the average of the 5th and 6th values:
   \[
   \text{Median} = \frac{76 + 77}{2} = \frac{153}{2} = 76.5
   \]

3. **Mode:**
   The mode is the value that appears most frequently, which is 96.9 (it appears 3 times).

### Summary:
- **Mean:** 81.29
- **Median:** 76.50
- **Mode:** 96.90

Would you like more details or have any questions? Here are some follow-up questions you might consider:

1. How do you calculate the range of this data set?
2. What is the significance of the mode in this context?
3. How would the mean change if we added a new data point?
4. What other measures of central tendency might be relevant?
5. Can you explain the differences between mean, median, and mode?

**Tip:** Always check for outliers, as they can significantly affect the mean!

Determine the mean, median, and mode of following data set: 96.9, 96.9, 71.4, 82.6, 96.9, 76, 77, 67, 65.4, 59.9. Mean = Median = Mode = Round your answers to the nearest hundredth as needed.

Learn how to calculate the mean, median, and mode for the data set: 96.9, 96.9, 71.4, 82.6, 96.9, 76, 77, 67, 65.4, 59.9. This problem teaches key concepts in statistics and measures of central tendency. Suitable for students in Grades 6-8.

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