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17 Mar 2025
GS Paper 1
Data Interpretation
Day 13: Study the following table carefully and answer the questions given below:
Students obtained minimum and average marks in four different subjects during 2017-2022.The maximum marks in each subject are 100.
Years
Subjects
English
Maths
Hindi
Science
Average
Minimum
Average
Minimum
Average
Minimum
Average
Minimum
2017
70
45
70
50
84
75
80
70
2018
75
50
75
52
85
78
85
75
2019
65
48
76
55
90
88
88
80
2020
70
60
80
70
88
85
86
78
2021
75
58
75
65
75
74
82
76
2022
80
65
85
80
78
70
85
75
(a) Find the overall average marks of all the four subjects in 2020?
(b) In which year are the overall average marks of four different subjects at their maximum and minimum?
(c) What is the percentage increase or decrease in average Maths marks for every two years from 2017 to 2022?
(d) In which two years did the minimum marks in English increase the most?
(e) During which year was the difference between the average and minimum marks in Hindi the greatest?
In 2020,
Average Marks on English = 70
Average Marks on Maths = 80
Average Marks on Hindi = 88
Average Marks on Science = 86
So, overall average marks = (70 + 80 + 88 + 86)/4
= 324/4
= 81
Hence, the overall average marks of all the four subjects in 2020 is 81.
(b) In which year are the overall average marks of four different subjects at their maximum and minimum?
Answer: The overall average marks of all the four subjects in 2017
= (70 + 70 + 84 + 80)/4
= 76
The overall average marks of all the four subjects in 2018
= (75 + 75 + 85 + 85)/4
= 80
The overall average marks of all the four subjects in 2019
= (65 + 76 + 90 + 88)/4
= 79.75
The overall average marks of all the four subjects in 2020
= (70 + 80 + 88 + 86)/4
= 81
The overall average marks of all the four subjects in 2021
= (75 + 75 + 75 + 82)/4
= 76.75
The overall average marks of all the four subjects in 2022
= (80 + 85 + 78 + 85)/4
= 82
Hence, the overall average marks of four different subjects are maximum in 2022 and the overall average marks of four different subjects are minimum in 2017.
(c) What is the percentage increase or decrease in average Maths marks for every two years from 2017 to 2022?
Answer:
In 2017-18,
Average Maths Marks in 2017 = 70
Average Maths Marks in 2018 = 75
Percentage Difference in Average Marks = (75-70)/70 × 100 = 7.14%
So, the percentage increase in average Maths marks for 2017-18 is 7.14%.
In 2018-19,
Average Maths Marks in 2018 = 75
Average Maths Marks in 2019 = 76
Percentage Difference in Average Marks = (76 – 75)/75 × 100 = 1.33%
So, the percentage increase in average Maths marks for 2018-19 is 1.33%.
In 2019-20,
Average Maths Marks in 2019 = 76
Average Maths Marks in 2020 = 80
Percentage Difference in Average Marks = (80 – 76)/76 × 100 = 5.26%
So, the percentage increase in average Maths marks for 2019-20 is 5.26%.
In 2020-21,
Average Maths Marks in 2020 = 80
Average Maths Marks in 2021 = 75
Percentage Difference in Average Marks = (75-80)/80 × 100 = –6.25%
So, the percentage decrease in average Maths marks for 2020-21 is 6.25%.
In 2021-22,
Average Maths Marks in 2021 = 75
Average Maths Marks in 2022 = 85
Percentage Difference in Average Marks = (85-75)/75 × 100 = 13.33%
So, the percentage increase in average Maths marks for 2021-22 is 13.33%.
(d) In which two years did the minimum marks in English increase the most?
Answer:
In 2017-18,
Minimum Marks in English in 2017 = 45
Minimum Marks in English in 2018 = 50
So, Increase in Minimum Marks in English = 50 – 45 = 5
In 2018-19,
Minimum Marks in English in 2018 = 50
Minimum Marks in English in 2019 = 48
So, Increase in Minimum Marks in English = 48 – 50 = -2
In 2019-20,
Minimum Marks in English in 2019 = 48
Minimum Marks in English in 2020 = 60
So, Increase in Minimum Marks in English = 60 – 48 = 12
In 2020-21,
Minimum Marks in English in 2020 = 60
Minimum Marks in English in 2021 = 58
So, Increase in Minimum Marks in English = 58-60 = –2
In 2021-22,
Minimum Marks in English in 2021 = 58
Minimum Marks in English in 2022 = 65
So, Increase in Minimum Marks in English = 65 – 58 = 7
Hence, the minimum mark in English increases the most in the years 2019 – 2020.
(e) During which year was the difference between the average and minimum marks in Hindi the greatest?
Answer:
In 2017,
Average Marks in Hindi = 84
Minimum Marks in Hindi = 75
Difference between average and minimum marks in Hindi = 84 – 75 = 9
In 2018,
Average Marks in Hindi = 85
Minimum Marks in Hindi = 78
Difference between average and minimum marks in Hindi = 85 – 78 = 7
In 2019,
Average Marks in Hindi = 90
Minimum Marks in Hindi = 88
Difference between average and minimum marks in Hindi = 90 – 88 = 2
In 2020,
Average Marks in Hindi = 88
Minimum Marks in Hindi = 85
Difference between average and minimum marks in Hindi = 88 – 85 = 3
In 2021,
Average Marks in Hindi = 75
Minimum Marks in Hindi = 74
Difference between average and minimum marks in Hindi = 75 – 74 = 1
In 2022,
Average Marks in Hindi = 78
Minimum Marks in Hindi = 70
Difference between average and minimum marks in Hindi = 78 – 70 = 8
Hence, the difference between the average and minimum marks in Hindi was the greatest in the year 2017.
