It is discovered that the average height of 10 Pillars in a particular temple is 70, 67, 62, 68, 61, 68, 70, 64, 64, and 66 meters. Does it make sense to assume that the average height is higher than 64 meters?

To determine if it makes sense to assume that the average height is higher than 64 meters, we can calculate the actual average height of the 10 pillars.

Given the heights: 
70, 67, 62, 68, 61, 68, 70, 64, 64, and 66 meters.

### Step-by-Step Calculation:

1. **Sum of the heights**:
   \[
   70 + 67 + 62 + 68 + 61 + 68 + 70 + 64 + 64 + 66 = 660
   \]

2. **Number of pillars**: 10

3. **Average height**:
   \[
   \frac{660}{10} = 66 \, \text{meters}
   \]

### Conclusion:

The average height of the 10 pillars is 66 meters, which is indeed higher than 64 meters. Therefore, it makes sense to assume that the average height is higher than 64 meters.

Would you like further details on this, or have any questions?

Here are 5 relative questions to expand this topic:
1. How does the average compare if we remove the tallest pillar?
2. What is the median height of these pillars?
3. How would the range of heights impact assumptions about uniformity?
4. How does standard deviation affect understanding the height distribution?
5. How would an additional pillar with a height of 65 meters impact the average?

**Tip:** The average can be affected significantly by extreme values, so it's helpful to also consider other statistical measures like the median or standard deviation.

Learn how to calculate the average height of 10 temple pillars using statistical methods. Given the heights 70, 67, 62, 68, 61, 68, 70, 64, 64, and 66 meters, this problem demonstrates the use of the arithmetic mean to determine if the average height exceeds 64 meters. Suitable for Grades 6-8.

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