How to Calculate Standard Deviation - Free Printable

Problem Description:

The image shows five carrots of different lengths, aligned with a vertical scale marked in centimeters (cm). The scale ranges from 0 cm to 30 cm. The task is to determine the length of each carrot based on the scale provided.

Solution Approach:

1. Identify the Scale: The vertical scale is marked at intervals of 10 cm, starting from 0 cm at the bottom and going up to 30 cm at the top.
2. Measure Each Carrot: For each carrot, observe where its base (bottom end) aligns with the scale and where its tip (top end) aligns with the scale. The difference between these two points gives the length of the carrot.
3. Record the Lengths: Calculate the length of each carrot by subtracting the base position from the tip position.

Step-by-Step Calculation:

#### Carrot 1 (Leftmost):
- Base: Aligns with the 0 cm mark.
- Tip: Aligns with the 30 cm mark.
- Length: \( 30 \, \text{cm} - 0 \, \text{cm} = 30 \, \text{cm} \).

#### Carrot 2:
- Base: Aligns with the 0 cm mark.
- Tip: Aligns with the 20 cm mark.
- Length: \( 20 \, \text{cm} - 0 \, \text{cm} = 20 \, \text{cm} \).

#### Carrot 3 (Smallest):
- Base: Aligns with the 0 cm mark.
- Tip: Aligns with the 10 cm mark.
- Length: \( 10 \, \text{cm} - 0 \, \text{cm} = 10 \, \text{cm} \).

#### Carrot 4:
- Base: Aligns with the 0 cm mark.
- Tip: Aligns with the 20 cm mark.
- Length: \( 20 \, \text{cm} - 0 \, \text{cm} = 20 \, \text{cm} \).

#### Carrot 5 (Rightmost):
- Base: Aligns with the 0 cm mark.
- Tip: Aligns with the 30 cm mark.
- Length: \( 30 \, \text{cm} - 0 \, \text{cm} = 30 \, \text{cm} \).

Final Answer:

The lengths of the carrots are:
- Carrot 1: \( 30 \, \text{cm} \)
- Carrot 2: \( 20 \, \text{cm} \)
- Carrot 3: \( 10 \, \text{cm} \)
- Carrot 4: \( 20 \, \text{cm} \)
- Carrot 5: \( 30 \, \text{cm} \)

\[
\boxed{30, 20, 10, 20, 30}
\]