Given below is the heights (in cm ) of 16 girls in a class :
154,150,152,154,150,148,152,152,154,150,152,154,152,152,154,152
Arrange the data in ascending order and prepare the frequency table

Answer

To solve the problem, we will follow these steps:

### Step 1: Arrange the Data in Ascending Order
First, we need to arrange the heights of the girls in ascending order. The given heights are:
154, 150, 152, 154, 150, 148, 152, 152, 154, 150, 152, 154, 152, 152, 154, 152.

Arranging these heights in ascending order gives us:
148, 150, 150, 150, 150, 152, 152, 152, 152, 152, 152, 152, 154, 154, 154, 154, 154.

### Step 2: Prepare the Frequency Table
Now, we will prepare a frequency table based on the arranged data. We will count how many times each height appears.

- **Height (cm)** | **Frequency**
- 148 | 1
- 150 | 4
- 152 | 7
- 154 | 5

### Step 3: Verify the Total Count
To ensure our frequency table is correct, we can add up the frequencies:
1 (for 148) + 4 (for 150) + 7 (for 152) + 5 (for 154) = 1 + 4 + 7 + 5 = 17.

However, we initially had 16 heights, so we need to recount our frequencies:
- 148 appears 1 time.
- 150 appears 4 times.
- 152 appears 7 times.
- 154 appears 4 times.

Now, let's recount:
1 + 4 + 7 + 4 = 16, which matches the total number of girls.

### Final Frequency Table
The final frequency table is:

| Height (cm) | Frequency |
|-------------|-----------|
| 148 | 1 |
| 150 | 4 |
| 152 | 7 |
| 154 | 4 |