10. What is the difference between the greatest value and the sum o the two least data values?

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UpStudy AI · Accepted Answer

To determine the difference between the greatest value and the sum of the two least data values in a dataset, follow these steps:

1. **Identify the Greatest Value:**
   - Scan through your dataset to find the maximum value.
   
2. **Identify the Two Least Values:**
   - Find the smallest (minimum) value in the dataset.
   - Find the second smallest value in the dataset.

3. **Calculate the Sum of the Two Least Values:**
   - Add the smallest and the second smallest values together.

4. **Compute the Difference:**
   - Subtract the sum of the two least values from the greatest value.
   
   $$
   \text{Difference} = \text{Greatest Value} - (\text{Smallest Value} + \text{Second Smallest Value})
   $$

### **Example**

Let's consider the following dataset:

$$ \{5, 8, 12, 3, 7\} $$

1. **Greatest Value:**
   - The greatest value is **12**.

2. **Two Least Values:**
   - The smallest value is **3**.
   - The second smallest value is **5**.

3. **Sum of the Two Least Values:**
   $$
   3 + 5 = 8
   $$

4. **Difference:**
   $$
   12 - 8 = 4
   $$

**So, the difference is 4.**

### **Key Points to Remember**
- Ensure that you correctly identify both the greatest and the two smallest values in your dataset.
- Carefully perform the addition before subtracting to avoid calculation errors.
- This method provides a simple way to understand the spread and balance within your data.

If you have specific data you'd like help with, feel free to provide it, and I can walk you through the calculation!
To find the difference between the greatest value and the sum of the two least data values, follow these steps: 1. **Find the greatest value** in your dataset. 2. **Identify the two smallest values** in your dataset. 3. **Add the two smallest values together**. 4. **Subtract this sum from the greatest value**. **Example:** For the dataset {5, 8, 12, 3, 7}: - Greatest value: 12 - Two smallest values: 3 and 5 - Sum: 3 + 5 = 8 - Difference: 12 - 8 = 4 So, the difference is 4. **Key Points:** - Ensure you correctly identify the greatest and smallest values. - Perform the addition before subtraction to avoid errors. - This method helps understand the spread within your data. If you have specific data, I can help you calculate it!

10. What is the difference between the greatest value and the sum o the two least data values?

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