What is the range of the distribution of a variable which takes the ten values:
17, 18, 27, 11, 24, 21, 34, 21, 17, 32 ?

Options

A. 23
B. 17
C. 21
D. 15

Answer

To find the range of the distribution of the given variable values, we follow these steps:

### Step 1: Identify the values
The values provided are:
17, 18, 27, 11, 24, 21, 34, 21, 17, 32.

### Step 2: Determine the highest value
We need to find the highest value among the given numbers.
- The highest value is **34**.

### Step 3: Determine the lowest value
Next, we find the lowest value among the given numbers.
- The lowest value is **11**.

### Step 4: Calculate the range
The range is calculated using the formula:
\[ \text{Range} = \text{Highest value} - \text{Lowest value} \]
Substituting the values we found:
\[ \text{Range} = 34 - 11 \]

### Step 5: Perform the subtraction
Now we perform the subtraction:
\[ 34 - 11 = 23 \]

### Conclusion
Thus, the range of the distribution of the variable is **23**.

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