APPSC Paper I · Paper I · Topic 10
10 APPSC Paper I Data Analysis questions with answers
27 questions from APPSC Paper I Mock 1 with answers and APPSC EO Grade III 2026 Paper I question paper with answers. Try each one, then tap Show answer.
Previous-paper questions are as in the original paper. Medha AI wrote the answers and explanations.
10.1Data interpretation & sufficiencyNotes
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Study the table and answer the question.
Paddy production (in thousand tonnes) in four districts (hypothetical data):
District | 2021 | 2022 | 2023
Guntur | 400 | 440 | 506
Krishna | 360 | 378 | 405
East Godavari | 500 | 450 | 540
West Godavari | 600 | 630 | 735
By what percentage (approximately) was the total production of the four districts in 2023 more than their total production in 2021?
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Answer D. 17.53%
Total 2021 = 400+360+500+600 = 1860; total 2023 = 506+405+540+735 = 2186. Increase = 326, and 326/1860 x 100 = 17.53%.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-E build script)
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Study the table and answer the question.
Cotton production (in thousand bales) in four districts (hypothetical data):
District | 2022 | 2023 | 2024
Guntur | 240 | 270 | 300
Kurnool | 320 | 304 | 368
Prakasam | 180 | 216 | 234
Anantapur | 160 | 165 | 198
What is the ratio of the total cotton production of the four districts in 2022 to that in 2024?
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Answer D. 9:11
Total 2022 = 240 + 320 + 180 + 160 = 900; total 2024 = 300 + 368 + 234 + 198 = 1,100. Ratio = 900 : 1,100 = 9 : 11.
Source: Hypothetical data; answer and every option computed and checked in Python
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The question below is followed by two statements, I and II. Decide whether the data given in the statements are sufficient to answer the question.
Question: What is the speed of a train?
I. The train crosses a 200 m long platform in 20 seconds.
II. The train crosses a signal pole in 12 seconds.
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Answer C. Both statements together are sufficient, but neither alone
Statement I alone: speed = (L + 200)/20, but the train's length L is unknown. Statement II alone: speed = L/12, again with L unknown. Together: L/12 = (L + 200)/20 gives L = 300 m and speed = 25 m/s (90 km/h). So both statements together are sufficient, but neither alone.
Source: Hypothetical data; answer and every option computed and checked in Python
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Cotton production in a district (in thousand bales, hypothetical data):
Year: 2019 2020 2021 2022 2023
Production: 100 85 71 80 68
In which year was the percentage decline in production over the previous year the largest?
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Answer A. 2021
Percentage declines: 2020: 15/100 = 15%; 2021: 14/85 = 16.47%; 2023: 12/80 = 15% (2022 was a rise). The largest percentage decline is in 2021, though the largest fall in bales was in 2020.
Source: Hypothetical data; answer and every option computed and checked in Python
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Number of tourists (in thousands) who visited Araku Valley in three years (hypothetical data): 2021 - 40, 2022 - 55, 2023 - 66. What was the percentage increase in tourists from 2022 to 2023?
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Answer A. 20%
Increase = 66 - 55 = 11 thousand; percentage increase = 11/55 x 100 = 20%.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-E build script)
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Each question below is followed by two statements, I and II. Decide whether the data in the statements are sufficient to answer the question.
Question: For real numbers x and y, is x greater than y?
I. x squared is greater than y squared.
II. x + y is greater than 0.
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Answer C. Both statements together are needed; neither alone is sufficient
From I, (x - y)(x + y) > 0. Alone this allows x = -3, y = 1 (x < y) or x = 3, y = 1 (x > y). II alone allows x = 1, y = 2 or x = 2, y = 1. Together, since x + y > 0, the product being positive forces x - y > 0, so x > y. Both are needed.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-E build script)
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Study the table and answer the question.
Employees in three departments of an office and the ratio of male to female employees (hypothetical data):
Department | Total employees | Male : Female
Accounts | 120 | 5 : 3
Sales | 210 | 4 : 3
Production | 360 | 7 : 5
Female employees of the Production department form what percentage of all female employees?
(The answer is rounded to two decimal places.)
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Answer C. 52.63%
Production females = 360 × 5/12 = 150; all females = 285. 150 / 285 × 100 = 52.63%.
Source: Hypothetical data; answer and every option computed and checked in Python
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Study the following Pie chart carefully and answer the questions given below :
Cost estimated by a family in renovation of their house for different works is given in the chart. Total cost estimation is Rs. 3,60,000.
Work Share of estimate Flooring 19% Wood polishing 10% Sanitation 10% Elevation 11% Miscellaneous 9% Doors and windows 12% Painting 16% Interior design 13% During the process of renovation, the family actually incurs interior design expenditure of Rs. 52,200. The interior design expenditure incurred by the family is what percent increased of total estimated cost in it ?
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Answer C. 1.5
Estimated interior design = 13% of 3,60,000 = Rs. 46,800. Excess = 52,200 − 46,800 = Rs. 5,400, which is 5,400/3,60,000 × 100 = 1.5% of the total estimate. (Measured against the interior design estimate itself the rise would be 5,400/46,800 ≈ 11.5%, which is not an option, so the question means a share of the total estimate.)
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q76, final key
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Study the following Pie chart carefully and answer the questions given below :
Cost estimated by a family in renovation of their house for different works is given in the chart. Total cost estimation is Rs. 3,60,000.
Work Share of estimate Flooring 19% Wood polishing 10% Sanitation 10% Elevation 11% Miscellaneous 9% Doors and windows 12% Painting 16% Interior design 13% What is the difference between the amount estimated by the family in elevation and wood polishing ?
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Answer D. Rs. 3,600
Elevation 11% − wood polishing 10% = 1% of 3,60,000 = Rs. 3,600.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q77, final key
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Answer the questions based on Pie charts.
Chart 1 – Shows the distribution by value of top 6 suppliers of rice is 2025.
Chart 2 – Shows the distribution by quantity of top 6 suppliers of rice in 2025.
The total value is Rs. 5,988 millions.
The total quantity is 998 million tonnes. A.P. – Andhra Pradesh, T.N. – Tamil Nadu, Ke – Kerala, Ka – Karnataka, Ma – Maharashtra, Orissa – Orissa
State Chart 1 (value) Chart 2 (quantity) AP 24% 36% TN 11% 8% Ke 10% 9% Ka 20% 14% Ma 18% 15% Orissa 17% 18% Which State has highest average price ?
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Answer C. Karnataka
Average price is proportional to value share ÷ quantity share: Ka 20/14 ≈ 1.43, Ma 18/15 = 1.2, Orissa 17/18 ≈ 0.94, AP 24/36 ≈ 0.67. Karnataka is highest.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q83, final key
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Answer the questions based on Pie charts.
Chart 1 – Shows the distribution by value of top 6 suppliers of rice is 2025.
Chart 2 – Shows the distribution by quantity of top 6 suppliers of rice in 2025.
The total value is Rs. 5,988 millions.
The total quantity is 998 million tonnes. A.P. – Andhra Pradesh, T.N. – Tamil Nadu, Ke – Kerala, Ka – Karnataka, Ma – Maharashtra, Orissa – Orissa
State Chart 1 (value) Chart 2 (quantity) AP 24% 36% TN 11% 8% Ke 10% 9% Ka 20% 14% Ma 18% 15% Orissa 17% 18% The average price for Andhra Pradesh is (Million Rs. per 1 ton)
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Answer A. 4
AP value = 24% of 5,988 = 1,437.12 million Rs; AP quantity = 36% of 998 = 359.28 million tonnes; 1,437.12 ÷ 359.28 = 4.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q84, final key
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Answer the questions based on the table given below. There are Army, Navy and Airforce examinations. Number of candidates attended the above examinations, from different cities of India and the number qualified is given in the table (A = appeared ; Q = qualified).
Wings Punjab A Punjab Q Delhi A Delhi Q Bombay A Bombay Q Hyderabad A Hyderabad Q Vishakhapatnam A Vishakhapatnam Q Army 9500 840 9200 1050 8450 920 9200 980 8800 1020 Navy 6400 780 8800 1020 7800 890 8750 1010 9750 1250 Airforce 8100 950 9500 1240 8700 980 9700 1200 8950 0995 What is the average percentage of candidates qualified for Navy over the candidates appeared ?
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Answer B. 11.93
Navy qualified = 780 + 1020 + 890 + 1010 + 1250 = 4,950; appeared = 6400 + 8800 + 7800 + 8750 + 9750 = 41,500; 4,950 ÷ 41,500 × 100 ≈ 11.93%.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q86, final key
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Answer the questions based on the table given below. There are Army, Navy and Airforce examinations. Number of candidates attended the above examinations, from different cities of India and the number qualified is given in the table (A = appeared ; Q = qualified).
Wings Punjab A Punjab Q Delhi A Delhi Q Bombay A Bombay Q Hyderabad A Hyderabad Q Vishakhapatnam A Vishakhapatnam Q Army 9500 840 9200 1050 8450 920 9200 980 8800 1020 Navy 6400 780 8800 1020 7800 890 8750 1010 9750 1250 Airforce 8100 950 9500 1240 8700 980 9700 1200 8950 0995 What is the approximate percentage of total number of qualified candidates from all wings together over from Delhi ?
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Answer B. 12
Delhi qualified = 1050 + 1020 + 1240 = 3,310; Delhi appeared = 9200 + 8800 + 9500 = 27,500; 3,310 ÷ 27,500 × 100 ≈ 12%. (Read literally as Delhi's share of all qualified candidates, 3,310 of 15,125 ≈ 21.9%, no option fits; the key uses Delhi's own pass rate.)
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q87, final key
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The table represents the expenditure of a company (in thousand rupees) per annum over the given year. What is the average amount of salary per year which the company has to pay during these four years ?
Year Salary Transport Interest Tax 2020 200 90 3 80 2021 250 100 2.5 100 2022 300 120 3 70 2023 350 130 3.5 80 Show answerHide answer
Answer A. Rs. 2,75,000
Average salary = (200 + 250 + 300 + 350) ÷ 4 = 1100 ÷ 4 = 275 thousand = Rs. 2,75,000.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q110, final key
10.1Summary statistics: mean, median, mode, varianceNotes
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What is the mode of 4, 6, 4, 8, 6, 4, 9?
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Answer D. 4
The mode is the most frequent value; 4 appears three times, 6 twice and the others once.
Source: Standard statistics method; answer and every option computed and checked in Python
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Consider the following statements:
1. The mode of 1, 2, 2, 3, 3, 4 is 2.5.
2. Standard deviation is unaffected by a change of scale (multiplying every value by a constant).
Which of the statements given above is/are correct?
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Answer D. Neither 1 nor 2
1, 2, 2, 3, 3, 4 is bimodal (modes 2 and 3); modes are not averaged. SD is unaffected by change of origin but is multiplied by |k| under a change of scale.
Source: NCERT Class 11 Statistics for Economics, Measures of Dispersion
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Consider the following statements:
1. The sum of absolute deviations is least when they are taken about the median.
2. In a perfectly symmetric unimodal distribution, the mean, median and mode are equal.
Which of the statements given above is/are correct?
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Answer C. Both 1 and 2
Σ|x − A| is minimised at A = median, which is why mean deviation is often taken about the median. In a symmetric unimodal curve all three averages coincide at the centre.
Source: NCERT Class 11 Statistics for Economics, Measures of Central Tendency and Dispersion
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What is the arithmetic mean of the first 10 even natural numbers?
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Answer A. 11
The first n even numbers have sum n(n + 1), so the mean is n + 1 = 11.
Source: Standard statistics method; answer and every option computed and checked in Python
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What is the mean deviation about the median of 2, 4, 7, 9 and 13?
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Answer A. 3.2
Median = 7 (3rd of 5 ordered values). Absolute deviations: 5, 3, 0, 2, 6 (sum 16). Mean deviation = 16/5 = 3.2.
Source: Standard statistics method; answer and every option computed and checked in Python
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What is the median of 7, 3, 9, 5, 11 and 4?
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Answer B. 6
Arranged in order the data are 3, 4, 5, 7, 9, 11. With an even count the median is the average of the 3rd and 4th values: (5 + 7) / 2 = 6.
Source: Standard statistics method; answer and every option computed and checked in Python
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If the mean of a set of observations x₁, x₂, ..., x₁₀ is 30, then the mean of x₁ + 2, x₂ + 4, ...., x₁₀ + 20 is
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Answer C. 41
Total added = 2 + 4 + ... + 20 = 110, so the mean rises by 110/10 = 11: 30 + 11 = 41.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q78, final key
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If Σ(xᵢ − 5) = 30 and Σ(xᵢ − 5)² = 75 (sums over i = 1 to 15), then standard deviation of 15 observations is
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Answer A. 1
With dᵢ = xᵢ − 5: mean of d = 30/15 = 2; variance = 75/15 − 2² = 5 − 4 = 1; SD = 1 (shifting by 5 does not change SD).
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q79, final key
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The median of x + 4, x − 7/2, x − 5/2, x − 3, x − 2, x + 1/2, x − 1/2 and x + 5 is ________ (x > 0).
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Answer C. x − 5/4
Ascending order: x−7/2, x−3, x−5/2, x−2, x−1/2, x+1/2, x+4, x+5. With 8 values the median is the mean of the 4th and 5th: (x−2 + x−1/2)/2 = x − 5/4.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q80, final key
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The arithmetic mean of 8 observations was calculated as 48. In doing so, an observation was wrongly taken as 91 for 19. What will be the correct mean ?
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Answer D. 39
Wrong total = 8 × 48 = 384; correct total = 384 − 91 + 19 = 312; correct mean = 312/8 = 39.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q81, final key
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For a unimodal data, the mode is 62, median is 58 then its arithmetic mean is
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Answer C. 56
Empirical relation: Mode = 3 Median − 2 Mean, so 62 = 174 − 2 Mean, giving Mean = 56.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q90, final key
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If the median and mean of a data are respectively 30.5 and 26.2 then the mode is
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Answer D. 39.1
Empirical relation: Mode = 3 Median – 2 Mean = 91.5 – 52.4 = 39.1.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q114, final key
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What is the variance of the following data ?
Class Interval 4 – 8 8 – 12 12 – 16 16 – 20 Frequency 3 6 4 7 Show answerHide answer
Answer B. 19
Mid-points 6, 10, 14, 18 with N = 20: mean = 260 ÷ 20 = 13; Σfx² = 3760, so variance = 3760 ÷ 20 – 13² = 188 – 169 = 19.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q117, final key
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