Find the range of the data `25,18,20,22,16,6,17,15,12,30,32,10,19,8,11` and `20.`

Options

A. `25`
B. `26`
C. `27`
D. `28`

Explanation

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

### Step 1: Identify the maximum value in the data set.
The data set given is:
`25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11`

The maximum value in this data set is **32**.

### Step 2: Identify the minimum value in the data set.
Now, we need to find the minimum value in the same data set.

The minimum value in this data set is **6**.

### Step 3: Calculate the range.
The range is calculated using the formula:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]

Substituting the values we found:
\[ \text{Range} = 32 - 6 \]

### Step 4: Perform the subtraction.
Now, we perform the subtraction:
\[ 32 - 6 = 26 \]

### Conclusion:
Thus, the range of the data set is **26**.

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