Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

In a factory, there are 39 workers who have been categorised into five groups (A, B, C, D, E) on the basis of the range of their daily wages (in multiples of ₹ 100). It is ensured that the daily wage of no worker is an exact multiple of ₹ 100 . The distribution is presented through the given histogram.

If two Managers are engaged to supervise the workers, with daily wages ranging between ₹700 and ₹800, then what will be the average daily wage (nearest to a ₹) of all members of staff of the factory?

Options:

₹445

₹400

₹455

₹467

Correct Answer:

₹455

Explanation:

Total wages of all workers = 5 × 250 + 9 × 350 + 12 × 450 + 11 × 550 + 2 × 650 + 2 ×  750

= 1250 + 3150 + 5400 + 6050 + 1300 + 1500

= 18650

Total number of workers = 5 + 9 + 12 + 11 + 2 + 2 = 41

Average daily wages = \(\frac{18650}{41}\) × 100 = 454.87

= 455  ( nearest integer )