Analyzing Vehicle Production Data

The question asks us to find the number of years in which the production of A-type vehicles was less than the average production of A-type vehicles over the given seven years (2012 to 2018). First, we need to calculate the average production of A-type vehicles.

Calculating Average Production of A-type Vehicles

To find the average production of A-type vehicles, we need to sum up the production of A-type vehicles for all seven years and then divide by the number of years.

Total production of A-type vehicles from 2012 to 2018:

Total production $= 5000 + 15000 + 10000 + 17500 + 25000 + 13000 + 30000$

Total production $= 115500$ vehicles

Number of years $= 7$

Average production of A-type vehicles $=$ $\frac{\text{Total production}}{\text{Number of years}}$

Average production $=$ $\frac{115500}{7}$

Average production $=$ $16500$ vehicles

So, the average production of A-type vehicles over the given years is 16500.

Comparing Yearly Production with Average

Now, we compare the A-type vehicle production in each year with the calculated average production of 16500.

• 2012: Production = 5000. Is $5000 < 16500$? Yes.
• 2013: Production = 15000. Is $15000 < 16500$? Yes.
• 2014: Production = 10000. Is $10000 < 16500$? Yes.
• 2015: Production = 17500. Is $17500 < 16500$? No. ($17500 > 16500$)
• 2016: Production = 25000. Is $25000 < 16500$? No. ($25000 > 16500$)
• 2017: Production = 13000. Is $13000 < 16500$? Yes.
• 2018: Production = 30000. Is $30000 < 16500$? No. ($30000 > 16500$)

The years in which the production of A-type vehicles was less than its average production (16500) are 2012, 2013, 2014, and 2017.

Counting these years, we find there are 4 such years.

Conclusion

The production of A-type vehicles was less than its average production over the given years in 4 years.

Revision Table: Vehicle Production Analysis

Additional Information: Calculating Averages

The average (or arithmetic mean) is a fundamental concept in statistics used to represent a typical value in a dataset. It is calculated by summing all the values in the dataset and dividing by the number of values.

The formula for the average is:

Average $=$ $\frac{\text{Sum of all values}}{\text{Number of values}}$

In this problem, the dataset is the yearly production figures for A-type vehicles. Calculating the average helps us understand the central tendency of the vehicle production data over the specified period.

Comparing individual data points (yearly production) to the average allows us to identify values that are below, above, or equal to the typical value. This is useful for analyzing trends and variations in the data, such as identifying years of lower or higher production compared to the norm.