The given bar graph shows the total number of handbags (in lakhs) from five different branches of a company, B1, B2, B3, B4 and B5, produced in 2015 and 2016. Study the graph carefully and answer the following question.

In which branch was the production of handbags in 2016 nearest to the average of the total production of handbags across all branches for that year?

Correct option is B

Given:

We need to determine which branch’s 2016 production is nearest to the average production across all branches for that year.

Concept Used:

To find the average, use the formula:

​$$\text{Average Production} = \frac{\text{Total Production}}{\text{Number of Branches}}$$​​

Solution:

Calculate Total Production in 2016

30+40+30+37.5+25=162.5

Calculate Average Production

​$$\frac{162.5}{5} = 32.5$$ lakhs​

We compare 32.5 with the production values:

B1 = 30 Difference = ∣30−32.5∣=2.5

B2 = 40 Difference = ∣40−32.5∣=7.5

B3 = 30 Difference = ∣30−32.5∣=2.5

B4 = 37.5 Difference = ∣37.5−32.5∣=5

B5 = 25 Difference = ∣25−32.5∣=7.5

The closest production values are B1 and B3, both with a difference of 2.5 lakhs.

Option (B) is right.