Which central tendency has been used to arrive at the following statements?
Prices for tickets to the movie vary by 25.

Answer

To determine which central tendency has been used in the statement "Prices for tickets to the movie vary by 25," we can follow these steps:

### Step 1: Understand Central Tendency
Central tendency refers to a statistical measure that identifies a single value as representative of an entire dataset. The most common measures of central tendency are mean, median, mode, and range.

### Step 2: Analyze the Statement
The statement mentions that the prices for tickets vary by 25. This indicates a measure of how much the prices differ from one another.

### Step 3: Identify the Central Tendencies
- **Mean**: The average of a set of numbers.
- **Median**: The middle value when the numbers are arranged in order.
- **Mode**: The number that appears most frequently in a dataset.
- **Range**: The difference between the highest and lowest values in a dataset.

### Step 4: Relate the Statement to Central Tendencies
The phrase "vary by 25" suggests a measure of variation rather than a single representative value. This is indicative of the range, which specifically measures the spread of the data by calculating the difference between the maximum and minimum values.

### Step 5: Conclusion
Since the statement discusses the variation in ticket prices, the central tendency used to arrive at this statement is **Range**.

### Final Answer
The central tendency used to arrive at the statement "Prices for tickets to the movie vary by 25" is **Range**.

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