The following table shows the number of Tourists who visit different cities by…
2023
The following table shows the number of Tourists who visit different cities by using different modes of travel. Based on the data in the table, answer the question that follows.
City-wise Distribution of Tourists
City | Modes of Travel | ||||
|---|---|---|---|---|---|
Car | Train | Bus | Bike | Air | |
Delhi | 19200 | 18800 | 17200 | 19100 | 17400 |
Mumbai | 18000 | 16600 | 17800 | 18700 | 18200 |
Chandigarh | 15600 | 19400 | 16300 | 18100 | 14800 |
Dehradun | 13200 | 18500 | 14200 | 17000 | 14800 |
Manali | 14900 | 15900 | 15500 | 14900 | 18300 |
Jaipur | 16800 | 16400 | 15900 | 14200 | 17300 |
What is the difference between the average number of Air travellers and the average number of Bus travellers to all the six cities?
Answer: C. 650 — CONCEPTFor two data series with the same number n of observations, the difference between their averages equals the difference between their totals divided by…
- A.
783
- B.
683
- C.
650
- D.
625
Show answer & explanation
Correct answer: C
CONCEPT
For two data series with the same number n of observations, the difference between their averages equals the difference between their totals divided by n. Equivalently, average(A) − average(B) = (sum(A) − sum(B)) / n.
APPLICATION
Add the Air column: 17,400 + 18,200 + 14,800 + 14,800 + 18,300 + 17,300 = 100,800.
Add the Bus column: 17,200 + 17,800 + 16,300 + 14,200 + 15,500 + 15,900 = 96,900.
Find the total difference: 100,800 − 96,900 = 3,900.
Divide by the six cities: 3,900 / 6 = 650.
CROSS-CHECK
The Air average is 100,800 / 6 = 16,800, while the Bus average is 96,900 / 6 = 16,150. Their difference is 16,800 − 16,150 = 650.
RESULT
The required difference is 650 tourists.