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The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value) (i) On average, it rains more in July than in December (ii) Every year, the amount of rainfall in August is more than that in January (iii) July rainfall can be estimated with better confidence than February rainfall (iv) In August, there is at least 500 mm of rainfall

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value) (i) On average, it rains more in July than in December (ii) Every year, the amount of rainfall in August is more than that in January (iii) July rainfall can be estimated with better confidence than February rainfall (iv) In August, there is at least 500 mm of rainfall Correct Answer (i) and (iii)

In the question, the monthly rainfall chart is given, based on 50 years of rainfall in Agra.

Checking the validity of the given statements.

(i) On average, it rains more in July than in December ⇒ correct.

(ii) Every year, the amount of rainfall in August is more than that in January. ⇒ may not be correct because average rainfall is provided.

(iii) July rainfall can be estimated with better confidence than February rainfall. ⇒ From the chart, it is clear the gap between the 5 percentile and 95 percentile from average is higher in February than that in July ⇒ correct.

(iv) In August, there is at least 500 mm of rainfall ⇒ May not be correct, because it is a 50-year average.

So the correct answer is option (B), i.e only statements (i) and (iii) are correct.

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