The question asks us to calculate the average budget allocated for education in State R over a period of five years, from 2018 to 2022, based on the provided table showing budget allocations.

To find the average budget for State R for the years 2018-2022, we need to sum up the budget allocations for State R for each of these five years and then divide the total sum by the number of years, which is 5.

Let's identify the budget allocations for State R for each year:

• 2018: Rs. 330 crore
• 2019: Rs. 374 crore
• 2020: Rs. 344 crore
• 2021: Rs. 384 crore
• 2022: Rs. 440 crore

The formula for calculating the average is:

\(\text{Average Budget} = \frac{\text{Sum of Budgets}}{\text{Number of Years}}\)

First, we calculate the sum of the budget allocations for State R for the years 2018-2022:

\(\text{Sum} = 330 + 374 + 344 + 384 + 440\)

\(\text{Sum} = 1872\) crore

Now, we divide the sum by the number of years, which is 5:

\(\text{Average Budget of State R} = \frac{1872}{5}\)

\(\text{Average Budget of State R} = 374.4\) crore

So, the average budget of State R for the years 2018-2022 is Rs. 374.4 crore.

This result matches one of the given options.

Revision Table: Key Calculation Steps

Additional Information: Understanding Averages

An average, specifically the arithmetic mean, is a central value of a set of numbers. It is calculated by summing all the numbers in the set and then dividing the sum by the count of numbers in the set. The average gives us a single value that represents the typical value in the dataset.

In this context, the average budget for State R over the five years tells us the typical annual allocation for education during that period. It smooths out year-to-year variations, providing a single figure for comparison or analysis.

Other types of averages exist, such as the median (the middle value in a sorted list) and the mode (the most frequent value). However, the term "average" in standard problems like this one almost always refers to the arithmetic mean.