Find the mean, median, and mode for each data set.
a) 12, 16, 11, 15, 21, 13, 17, 17, 15, 24, 20, 16
b) 15.2, 15.8, 15.9, 15.3, 14.8, 13.7, 15.9, 14.5, 14.6, 15.8
c) 0.034, 0.045, 0.043, 0.037, 0.036, 0.041, 0.040
d) 15, 17, 17, 17, 18, 19, 25, 37, 37, 42, 50, 61, 70, 85

Here are the calculated mean, median, and mode for each data set:

a) \( 12, 16, 11, 15, 21, 13, 17, 17, 15, 24, 20, 16 \)
- **Mean**: 16.42
- **Median**: 16.0
- **Mode**: 15

b) \( 15.2, 15.8, 15.9, 15.3, 14.8, 13.7, 15.9, 14.5, 14.6, 15.8 \)
- **Mean**: 15.15
- **Median**: 15.25
- **Mode**: 15.8

c) \( 0.034, 0.045, 0.043, 0.037, 0.036, 0.041, 0.040 \)
- **Mean**: 0.0394
- **Median**: 0.04
- **Mode**: 0.034

d) \( 15, 17, 17, 17, 18, 19, 25, 37, 37, 42, 50, 61, 70, 85 \)
- **Mean**: 36.43
- **Median**: 31.0
- **Mode**: 17

Would you like further clarification or details on these calculations?

Here are some related questions:
1. What is the effect of outliers on the mean and median of a data set?
2. How can we determine the range of a data set, and what does it indicate?
3. What is the significance of the mode in different types of data sets?
4. How do we handle multiple modes in a data set?
5. Can we use other measures of central tendency for skewed distributions?

**Tip**: The mean is sensitive to outliers, while the median is more resistant to extreme values.

Learn how to calculate the mean, median, and mode for multiple data sets, including examples such as 12, 16, 11, 15, and more. This guide covers key statistical concepts, including the formulas for mean, median, and mode, and explains their significance in analyzing data. Suitable for students in Grades 6-8.

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