Question

The range of given data 9, 13, 15, 17, 19, 21, 28, 8, 34 is

• A. 28
• B. 26
• C. 25
• D. 32

Hint:

Always scan the dataset carefully to find the absolute maximum and minimum values before calculating. Sorting the data in ascending order ($8, 9, 13, 15, 17, 19, 21, 28, 34$) makes finding these values much easier.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
In statistics, the range is the simplest measure of dispersion or spread in a dataset.
It measures the total distance between the largest and smallest observations in the sample.
Key Formula or Approach:
The range ($R$) of a dataset is calculated using the formula: \[ R = X_{\text{max}} - X_{\text{min}} \] where: - $X_{\text{max}}$ is the maximum value in the dataset.
- $X_{\text{min}}$ is the minimum value in the dataset.

Step 2: Detailed Explanation:
Let us identify the values in the given dataset:
Dataset: $9$, $13$, $15$, $17$, $19$, $21$, $28$, $8$, $34$.
Find the maximum and minimum values:
- Maximum value ($X_{\text{max}}$) $= 34$
- Minimum value ($X_{\text{min}}$) $= 8$
Calculate the range: \[ R = 34 - 8 = 26 \] Therefore, the range of the dataset is $26$.

Step 3: Final Answer:
The range of the given dataset is $26$.
Hence, the correct option is (B).