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.