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The following table presents the number of families in a village earning a certain level of monthly income from their factory job in the nearby town : Number of Families Income band (in Rupees) 42 40 36 18 5 5,000-9,999 10,000-14,999 15,000-19,999 20,000-24,999 25,000-30,000   Which of the following statements are correct ? (i) Approximately 54% of the families earn between Rs. 10,000 and Rs. 20,000. (ii) There are 70% families who earn more than Rs. 10,000. (iii) A family with highest income earns Rs. 29,500. (iv) Median income is between Rs. 10,000 and Rs. 14,999.

The following table presents the number of families in a village earning a certain level of monthly income from their factory job in the nearby town : Number of Families Income band (in Rupees) 42 40 36 18 5 5,000-9,999 10,000-14,999 15,000-19,999 20,000-24,999 25,000-30,000   Which of the following statements are correct ? (i) Approximately 54% of the families earn between Rs. 10,000 and Rs. 20,000. (ii) There are 70% families who earn more than Rs. 10,000. (iii) A family with highest income earns Rs. 29,500. (iv) Median income is between Rs. 10,000 and Rs. 14,999. Correct Answer (i), (ii) and (iv)

(i) Total number of families = 42 + 40 + 36 + 18 + 5 = 141 

The total number of families earn between Rs.10,000 to Rs.20,000 = 40 + 36 = 76 

Percent of families earn between Rs. 10,000 to Rs. 20,000 = (76/141) × 100 = 53.90 ≈ 54%

(ii) The total number of families earn more than Rs. 10,000 = 40 + 36 + 18 + 5 = 99 

Total percent of families earn more than Rs. 10000 = (99/141) × 100 = 70.21% ≈ 70% 

(iii) Maximum salary of a family = Rs. 30,000

(iv) Median income of the salary is between Rs. 10,000 to Rs. 14,999

∴ Statement (i), (ii) and (iv) is correct

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