# How to Calculate Mean Absolute Percentage Error (MAPE) in R

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How to Calculate MAPE in R, when want to measure the forecasting accuracy of a model the solution is MAPE.

MAPE stands for mean absolute percentage error.

### The mathematical formula to calculate MAPE is:

**MAPE = (1/n) * Σ(|Original – Predicted| / |Original|) * 100**

where:

Σ –indicates the “sum”

n – indicates the sample size

actual – indicates the actual data value

forecast – indicates the forecasted data value

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### Why MAPE?

MAPE is one of the easiest methods and easy to infer and explain. Suppose MAPE value of a particular model is 5% indicate that the average difference between the predicted value and the original value is 5%.

In this tutorial, we are going to cover two different approaches used to calculate MAPE in R.

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## Approach 1: Function

Let’s create a data frame with actual and predicted values.

create a dataset

data <- data.frame(actual=c(44, 47, 34, 47, 58, 48, 46, 53, 32, 37, 26, 24), forecast=c(44, 40, 46, 43, 46, 58, 45, 44, 53, 30, 32, 23))

View the dataset

data actual forecast 1 44 44 2 47 40 3 34 46 4 47 43 5 58 46 6 48 58 7 46 45 8 53 44 9 32 53 10 37 30 11 26 32 12 24 23

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Now we can calculate MAPE in R based on our own function.

We can make use of the following function for MAPE calculation.

mean(abs((data$actual-data$forecast)/data$actual)) * 100 [1] 19.26366

For the current model, the MAPE value is 19.26, It’s indicated that the average absolute difference between the predicted value and the original value is 19.26%.

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## Approach 2: Based on Package

The in-built function is available from MLmetrics package. Let’s make use of the same.

The syntax for MAPE calculation is

MAPE(y_pred, y_true)

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where:

y_pred: predicted values

y_true: original values

Let’s load the library

library(MLmetrics)

calculate MAPE

MAPE(data$forecast, data$actual) [1] 0.1926366

Now you can see, exactly the same value we got from our own function from the earlier approach.

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