Find the range of the data 53,269,331,63,29,36,20,451,239,341,151,169,23,51,200.

Answer

To find the range of the given data set, we will follow these steps:

### Step 1: Identify the Data Set
The data provided is:
53, 269, 331, 63, 29, 36, 20, 451, 239, 341, 151, 169, 23, 51, 200.

### Step 2: Find the Lowest Value
To find the lowest value in the data set, we will compare all the numbers:
- The lowest value is **20**.

### Step 3: Find the Highest Value
Next, we will find the highest value in the data set:
- The highest value is **451**.

### Step 4: Calculate the Range
The range is calculated by subtracting the lowest value from the highest value:
\[ \text{Range} = \text{Highest Value} - \text{Lowest Value} \]
Substituting the values we found:
\[ \text{Range} = 451 - 20 \]

### Step 5: Perform the Calculation
Now, we perform the subtraction:
\[ \text{Range} = 431 \]

### Conclusion
The range of the data set is **431**.

---