Analyzing Rainfall Data Table

The question asks to identify the state where the annual rainfall in 2005 exceeded the average annual rainfall calculated across the years 2000, 2005, and 2015 for that specific state. We need to calculate the average rainfall for each state and compare it with the 2005 rainfall.

Calculating Average Rainfall Per State

The average annual rainfall for each state is calculated using the formula:

$ \text{Average Rainfall} = \frac{\text{Rainfall}_{2000} + \text{Rainfall}_{2005} + \text{Rainfall}_{2015}}{3} $

Let's calculate the average for each state:

• Himachal Pradesh: $ \frac{110 + 90 + 150}{3} = \frac{350}{3} \approx 116.67 \text{ cm} $
• Uttar Pradesh: $ \frac{120 + 85 + 90}{3} = \frac{295}{3} \approx 98.33 \text{ cm} $
• Madhya Pradesh: $ \frac{90 + 65 + 80}{3} = \frac{235}{3} \approx 78.33 \text{ cm} $
• Andhra Pradesh: $ \frac{55 + 75 + 65}{3} = \frac{195}{3} = 65 \text{ cm} $
• Tamil Nadu: $ \frac{150 + 90 + 115}{3} = \frac{355}{3} \approx 118.33 \text{ cm} $

Comparing 2005 Rainfall with Average

Now, we compare the rainfall in 2005 for each state with its calculated average annual rainfall:

• Himachal Pradesh: 2005 Rainfall (90 cm) is NOT greater than Average (116.67 cm).
• Uttar Pradesh: 2005 Rainfall (85 cm) is NOT greater than Average (98.33 cm).
• Madhya Pradesh: 2005 Rainfall (65 cm) is NOT greater than Average (78.33 cm).
• Andhra Pradesh: 2005 Rainfall (75 cm) IS greater than Average (65 cm).
• Tamil Nadu: 2005 Rainfall (90 cm) is NOT greater than Average (118.33 cm).

The state where the annual rainfall for 2005 was greater than the average annual rainfall for all three years is Andhra Pradesh.