# Data Interpretation – To compare the rainfall data, India Meteorological

## To compare the rainfall data, India Meteorological – Video Solution

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 16 states. The figure given below shows the actual rainfall (measured in mm) during June-August, 2019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure. Q.1 If a ‘Heavy Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of ‘Heavy Monsoon States’ have a negative deviation from respective LPAs in 2019?

1. 42.86
2. 75.00
3. 14.29
4. 57.14

Q.2 If a ‘Low Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median ‘deviation from LPA’ (as defined in the Y-axis of the figure) of ‘Low Monsoon States’?

1. 10%
2. -20%
3. -10%
4. -30%

Q.3 What is the average rainfall of all states that have actual rainfall of 600 mm or less in 2019 and have a negative deviation from LPA?

1. 500 mm
2. 460 mm
3. 367 mm
4. 450 mm

Q.4 The LPA of a state for a year is defined as the average rainfall in the preceding 10 years considering the period of June-August. For example, LPA in 2018 is the average rainfall during 2009-2018 and LPA in 2019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 2019 is closest to?

1. 490 mm
2. 525 mm
3. 475 mm
4. 505 mm

Solution:
1. Negative deviation as well as rainfall greater than 900 are Arunachal, Kerala, Meghalaya
Rainfall greater than 900 and positive deviations are Maharashtra, Mizoram, Sikkim, Goa
Hence % = 3/7 x 100 = 42.86
2. As we have a total of 9 states with low monsoon and 5 states with negative deviation among them, the state of assam will have the median value = -10%
3. As We can see that there are 5 states (Asam, WB, Jharkhand, Delhi and Manipur ) with rainfall less than 600 and negative deviation.
So Required Average of states with rainfall less than 600 and negative deviation is (600 + 600 + 400 + 300 + 400)/5 = 460
4. Gujrat in 2018 has rainfall of 600 anad deviation of 25% and 2019 is 20% more than 2009  2009 rainfall is 600/1.2 = 500mm.
As deviation is +25% so average 2009 – 2018 is 600/1.25 = 480
LPA 2019 = (480×10 – 500 + 600 )/10 = 490mm