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

The average number of tourists who travel by Train is ________.

Answer: C. 17600CONCEPTThe arithmetic mean of n observations equals their sum divided by n. Equivalently, a proposed mean is consistent only when the mean multiplied by n…

  1. A.

    19050

  2. B.

    18850

  3. C.

    17600

  4. D.

    16750

Show answer & explanation

Correct answer: C

CONCEPT

The arithmetic mean of n observations equals their sum divided by n.

Equivalently, a proposed mean is consistent only when the mean multiplied by n reproduces the observations' total.

APPLICATION

  1. Read the six Train values: 18,800, 16,600, 19,400, 18,500, 15,900, and 16,400.

  2. Add them: 18,800 + 16,600 + 19,400 + 18,500 + 15,900 + 16,400 = 105,600.

  3. There are 6 cities, so the mean is 105,600 ÷ 6 = 17,600.

CROSS-CHECK

Multiply the obtained mean by 6: 17,600 × 6 = 105,600, exactly the Train-column total.

Therefore, the average number of tourists travelling by Train is 17,600.

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