Find the range of the series :
(i)75,85,95,105,115,125
(ii)15,18,13,16,14,13,14,19,21

Options

A. 50, 6
B. 40, 6
C. 50, 8
D. None of these

Answer

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

### Step 1: Identify the largest and smallest values in the first series.
The first series is: 75, 85, 95, 105, 115, 125.

- **Largest value**: 125
- **Smallest value**: 75

### Step 2: Calculate the range for the first series.
The formula for the range is:
\[ \text{Range} = \text{Largest value} - \text{Smallest value} \]

Using the values identified:
\[ \text{Range} = 125 - 75 = 50 \]

### Step 3: Identify the largest and smallest values in the second series.
The second series is: 15, 18, 13, 16, 14, 13, 14, 19, 21.

- **Largest value**: 21
- **Smallest value**: 13

### Step 4: Calculate the range for the second series.
Using the same formula for the range:
\[ \text{Range} = \text{Largest value} - \text{Smallest value} \]

Using the values identified:
\[ \text{Range} = 21 - 13 = 8 \]

### Final Answer:
- The range of the first series is **50**.
- The range of the second series is **8**.

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