Pocket money received by 7 students is given below
Rs 24, Rs 22, Rs 30, Rs 28, Rs 32, Rs 26, Rs 34
Find the range, mean and median of the data

Answer

To solve the problem, we will find the range, mean, and median of the pocket money received by 7 students. The amounts are as follows: Rs 24, Rs 22, Rs 30, Rs 28, Rs 32, Rs 26, and Rs 34.

### Step 1: Arrange the data in ascending order
First, we need to arrange the given amounts in ascending order.

**Ascending Order:**
- Rs 22
- Rs 24
- Rs 26
- Rs 28
- Rs 30
- Rs 32
- Rs 34

### Step 2: Find the Range
The range is calculated by subtracting the minimum value from the maximum value.

**Calculation:**
- Maximum value = Rs 34
- Minimum value = Rs 22

**Range = Maximum - Minimum**
Range = Rs 34 - Rs 22 = Rs 12

### Step 3: Find the Mean
The mean is calculated by taking the sum of all observations and dividing it by the number of observations.

**Calculation:**
- Sum of observations = Rs 22 + Rs 24 + Rs 26 + Rs 28 + Rs 30 + Rs 32 + Rs 34
- Sum = Rs 196
- Number of observations = 7

**Mean = Sum of observations / Number of observations**
Mean = Rs 196 / 7 = Rs 28

### Step 4: Find the Median
To find the median, we use the formula for the median when the number of observations (n) is odd. The median is the value at the (n + 1) / 2 position.

**Calculation:**
- Number of observations (n) = 7
- Position of median = (7 + 1) / 2 = 4th term

From our arranged data:
1. Rs 22
2. Rs 24
3. Rs 26
4. Rs 28 (4th term)
5. Rs 30
6. Rs 32
7. Rs 34

**Median = Rs 28**

### Final Answers:
- **Range:** Rs 12
- **Mean:** Rs 28
- **Median:** Rs 28

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