Kiara is doing her weekly shopping.

She estimates that she has spent £150.

The actual amount she has spent is £120.

Calculate the percentage error in her estimate.

To calculate the percentage error in Kiara's estimate, we can use the formula:

\[
\text{Percentage Error} = \left(\frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}}\right) \times 100
\]

Given:
- Estimated Value = £150
- Actual Value = £120

Substitute these values into the formula:

\[
\text{Percentage Error} = \left(\frac{|150 - 120|}{120}\right) \times 100
\]

\[
\text{Percentage Error} = \left(\frac{30}{120}\right) \times 100
\]

\[
\text{Percentage Error} = 0.25 \times 100 = 25\%
\]

So, the percentage error in Kiara's estimate is **25%**.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How would the percentage error change if her actual spending was £180 instead?
2. What is the percentage error if the estimated value is exactly the same as the actual value?
3. Can you calculate the absolute error in Kiara's estimate?
4. How does percentage error differ from percentage difference?
5. How would the percentage error formula change if the actual value was zero?

**Tip:** In percentage error calculations, the actual value should never be zero, as it would lead to a division by zero, which is undefined.

Learn how to calculate the percentage error when estimating expenses. Kiara estimated £150 for her shopping but spent £120. Find out the percentage error using the formula and understand the difference between estimated and actual spending. Suitable for high school students learning about percentage calculations.

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