The height of 5 boys is recorded as , 146cm, 154 cm, 164 cm, 148 cm and 158 cm. What is the average height of all these boys ?

Options

A. 152 cm
B. 158 cm
C. 156 cm
D. 154 cm

Explanation

To find the average height of the 5 boys, we can follow these steps:

### Step 1: List the heights
The heights of the 5 boys are:
- Boy 1: 146 cm
- Boy 2: 154 cm
- Boy 3: 164 cm
- Boy 4: 148 cm
- Boy 5: 158 cm

### Step 2: Calculate the total sum of the heights
We will add all the heights together:
\[ \text{Total Height} = 146 + 154 + 164 + 148 + 158 \]

### Step 3: Perform the addition
Calculating the total:
\[ 146 + 154 = 300 \]
\[ 300 + 164 = 464 \]
\[ 464 + 148 = 612 \]
\[ 612 + 158 = 770 \]
So, the total height is 770 cm.

### Step 4: Count the number of boys
The number of boys is 5.

### Step 5: Calculate the average height
Now, we will divide the total height by the number of boys:
\[ \text{Average Height} = \frac{\text{Total Height}}{\text{Number of Boys}} = \frac{770}{5} \]

### Step 6: Perform the division
Calculating the average:
\[ \frac{770}{5} = 154 \]

### Final Answer
The average height of the boys is **154 cm**.

---