## Data Interpretation QuestionsIn mathematics, Data Interpretation refers to analyze, interpret, and make decisions out of a collection of data that has been processed. It is usually presented in various forms like tabular form, bar graphs, line charts, and other similar forms and hence requires an interpretation of some type. In this tutorial, we will learn about data interpretation with the help of some major techniques and examples. These are the given type of questions based on Data Interpretation ## Questions based on Tabular Form1. Read the following table carefully and answer the questions. The given tables show the total population of 6 different cities and the ratio of literate to illiterate population and the percentage of graduates out of the literate population in each city.
Graduate population of the city P and T together
The population who are literate but not graduate of city R So, the required difference = 36000 - 9200 = 28800
Illiterate male in city Q 2. The table below shows the number of laptops sold by the 5 sellers and the ratio of Lenovo laptops sold to Sony laptops sold. Read the data carefully and answer the given questions.
Required Average =
Sony laptop sold by S and T together = 1500 + 800 = 2300 Sony laptop sold by Q and R together = 1200 + 2000 = 3200 Required difference = 3200 - 2300 = 900 ## Questions based on Missing number1. The table given below shows the number of products sold by 5 shopkeepers on five different days.
## Note: Some data are missing in the above table; calculate the missing data if required.
Product sold by P on Friday = 1800 - (360 + 240 + 580 + 380) = 1800 - 1560 = 240 Product sold by Q on Tuesday = 3200 - (220 + 550 + 660 + 420) = 2000 - 1850 = 150 So, the required percentage
Let item sold by R on Thursday be a. According to question 660+a = 3a + 390 2a = 270 a = 135
Product sold by P on Friday = 2000 - 1560 = 440 So, the required difference = 440 - 360 = 80
Products sold by S on Monday = 2 260 - 270 = 520 - 270 = 250 Required percentage = 2. The table below shows the population of five cities and the percentage of male, female, and transgender people.
Total number of females in village 'Q' and 'S' together = 4500 + 4800 = 9300 The total number of males in village 'R'
Required difference
= 4800 - 1600 = 3200
Required % = 45 % ## Questions based on Bar GraphThe bar graph is given below shows the
Required amount = 2700 5 + 2400 8 = 13500 + 19200 = 32700
Average per gram price of Oxygen on all the four days = 2475 Average per gram price of Carbon on all the four days = 2325 So, the required difference = 2475 - 2325 = 150
Required amount
Required ratio
= 4 [2600 - 2400 +2200 - 2500] = 4 [-100] = 400 2. A Company delivers three different items, namely, food, drinks, and Cosmetics. If the company's total production was the same for all years and % production of three products in the particular year given below, answer the given question.
Let's suppose the total production of the company to be K So, the required percent = = 39 % less
Required difference = 70000 - 28000 = 42000
Let's suppose the total production of the company to be K So, the required ratio =
Let's suppose total production of the company be K According to question, 20% of k = 20000 K = 100000 So, the required average = = 20000 + 50000 / 2 = 70000/2 = 35000
Let's suppose the production of each previous years be K According to the question, 40% of k = 16000 K = 40000 So, the total production in 2015 = 48000 ## Caselet Data Interpretation1. The total number of TV sold by a store in January and March is 1800, and the total number of TV sold in January is 40% more than that of in March. The store sold TV of only 4 brands that are LG, Sony, Samsung, and MI. 20% of total TV sold by the store is Sony, and the total number of Sony TV sold by a store in March is 25% less than that of Sony TV sold by a store in January. The number of MI TVs sold by a store in January is 30% more than that of the total Sony TV sold by the store in January. The total number of Samsung TVs sold by a store in January is 20% less than the total LG TV sold by a store in March is 20% more than that of total LG TV sold by a store in January. The total number Of MI and Samsung TVs sold in March is 7:4.
Total Samsung TV sold by a store in January is what percent more than total MI sold by a store in March?
Let total number of LG TV sold in month of January = k So, the total number of Samsung TV sold in moth Of January = 0.8k According to question, K + 0.8k = (1050- 182-236) = 1.8k = 632 = k = 351 The total number of LG TV sold in January = 351 The total number of Samsung TV sold in January = 0.8 × 351 = 280
= 156%
Let total number of LG TV sold in month of January = k So, the total number of Samsung TV sold in moth Of January = 0.8k According to question, K + 0.8k = (1050- 182-236) = 1.8k = 632 = k = 351 The total number of LG TV sold in January = 351 The total number of Samsung TV sold in January = 0.8 × 351 = 280
Required ratio = 182/109
Let total number of LG TV sold in month of January = k So, the total number of Samsung TV sold in moth Of January = 0.8k According to question, K + 0.8k = (1050- 182-236) = 1.8k = 632 = k = 351 The total number of LG TV sold in January = 351 The total number of Samsung TV sold in January = 0.8 × 351 = 280
Let total number of LG TV sold in month of January = k So, the total number of Samsung TV sold in moth Of January = 0.8k According to question, K + 0.8k = (1050- 182-236) = 1.8k = 632 = k = 351 The total number of LG TV sold in January = 351 The total number of Samsung TV sold in January = 0.8 × 351 = 280
Required percentage
Let total number of LG TV sold in month of January = k So, the total number of Samsung TV sold in moth Of January = 0.8k According to question, K + 0.8k = (1050- 182-236) = 1.8k = 632 = k = 351 The total number of LG TV sold in January = 351 The total number of Samsung TV sold in January = 0.8 351 = 280
Required difference = (351 + 421) - (280+336) = 772 - 616 = 156 2. On a particular day, the total number of people who went to a club for the party is 75% of the total capacity of the club. There is a total four-bar available there, and each has an equal capacity of 400. 25% of people have drunk in bar 1 and 20% remaining drunk in bar 4. The number of people who have drunk in bar 2 is 40% more than of bar 3. The number of males and females who have drunk on that particular day is 3: 5.
If in bar 1 the ratio of the number of males to that of female was 4:3, and in bar 4, the ratio of female to male was 9:7, find the total number of females who have drunk in these two bars is what percent of the total number of females who have drunk on that particular day?
Total capacity of the club = 400 × 4 = 1600 Let's the number of people who have drunk in bar 3 be 100x then number of people in bar 2 be 140x According to question, 100x + 140x = (1200 - 300 - 180) = 720 So, the total number of people in bar 3 = 100 × 3 = 300 and the total number of people in bar 2 =
Find the difference between the total number of males who have drunk on that day and the number of people who have drunk in bar 2 and bar 4 together?
Total capacity of the club = 400 × 4 = 1600 Let's the number of people who have drunk in bar 3 be 100x then number of people in bar 2 be 140x According to question, 100x + 140x = (1200 - 300 - 180) = 720 So, the total number of people in bar 3 = 100 × 3= 300 and the total number of people in bar 2 = 140 × 3 = 420 Required difference = (420 + 180) - 450 = 600 - 450 = 150
Find the ratio of the average number of people who have drunk in bar 1 and bar 3 to the average of the people who have drunk in bar 2 and bar 4.
Total capacity of the club = 400 × 4 = 1600 Let's the number of people who have drunk in bar 3 be 100x then number of people in bar 2 be 140x According to question, 100x + 140x = (1200 - 300 - 180) = 720
Total capacity of the club = 400 × 4 = 1600 Let's the number of people who have drunk in bar 3 be 100x then number of people in bar 2 be 140x According to question, 100x + 140x = (1200 - 300 - 180) = 720
The cost of an entry ticket is Rs. 350, but there was a discount of 20% for females and 10% for male people on that day. Find the total income earned by the club on that day?
Total capacity of the club = 400 × 4 = 1600 Let's the number of people who have drunk in bar 3 be 100x then number of people in bar 2 be 140x According to question, 100x + 140x = (1200 - 300 - 180) = 720 So, the total number of people in bar 3 = 100× 3= 300 and the total number of people in bar 2 = 140 × 3= 420 On that day, Total income earned by the club on that day =(750×280 + 450×315) = (210000 + 141750) = Rs. 351,750 3. The total population of Noida sector 3 is 30000, and there are three sectors: P, Q, and R. The ratio of the population of their sectors (P:Q: R) is 7:5:3. The number of males in sector P is 5000 more than that of females in sector R. Ratio of numbers of females in sector P to that if males in sector R is 7:3. The number of females in sector Q is 60% of the number of males in sector P.
Let number of females in sector P and number of males in sector R be 7x and 3x respectively Number of males in sector P = (14000 - 7x) Number of females in sector R = (6000 - 3x) According to question, (14000 - 7x) - (6000 - 3x) = 5000 =14000 -7x -6000 + 3x = 5000 = 8000 -4x = 5000 X = 750 Number of females in sector P = 7 ×750= 5230 Number of males in sector P = 14000 = 8770 Number of males in sector R = 3×750= 2250 Number of females in sector R = 6000 - 2250 = 3750
= 6754 - 5230 = 1524
The total male population of P and R sectors is what percent of the total population of these two sectors?
Let number of females in sector P and number of males in sector R be 7x and 3x respectively Number of males in sector P = (14000 - 7x) Number of females in sector R = (6000 - 3x) According to question, (14000 - 7x) - (6000 - 3x) = 5000 =14000 -7x -6000 + 3x = 5000 = 8000 -4x = 5000 X = 750 Number of females in sector P = 7 ×750 = 5230 Number of males in sector P = 14000 -5230 = 8770 Number of males in sector R = 3×750 = 2250 Number of females in sector R = 6000 - 2250 = 3750
Find the ratio of the total number of females in all sectors to that of the total male population in all sectors?
Let number of females in sector P and number of males in sector R be 7x and 3x respectively Number of males in sector P = (14000 - 7x) Number of females in sector R = (6000 - 3x) According to question, (14000 - 7x) - (6000 - 3x) = 5000 =14000 -7x -6000 + 3x = 5000 = 8000 -4x = 5000 X = 750 Number of females in sector P = 7 ×750 = 5230 Number of males in sector P = 14000 -5230 = 8770 Number of males in sector R = 3×750 = 2250 Number of females in sector R = 6000 - 2250 = 3750
Let number of females in sector P and number of males in sector R be 7x and 3x respectively Number of males in sector P = (14000 - 7x) Number of females in sector R = (6000 - 3x) According to question, (14000 - 7x) - (6000 - 3x) = 5000 =14000 -7x -6000 + 3x = 5000 = 8000 -4x = 5000 X = 750 Number of females in sector P = 7 ×750 = 5230 Number of males in sector P = 14000 -5230 = 8770 Number of males in sector R = 3×750 = 2250 Number of females in sector R = 6000 - 2250 = 3750
Let number of females in sector P and number of males in sector R be 7x and 3x respectively Number of males in sector P = (14000 - 7x) Number of females in sector R = (6000 - 3x) According to question, (14000 - 7x) - (6000 - 3x) = 5000 =14000 -7x -6000 + 3x = 5000 = 8000 -4x = 5000 X = 750 Number of females in sector P = 7 ×750 = 5230 Number of males in sector P = 14000 -5230 = 8770 Number of males in sector R = 3×750 = 2250 Number of females in sector R = 6000 - 2250 = 3750
## Questions based on Bar Graph1. The pie chart given below shows the percentage distribution of five village populations in Two different years (2014 and 2018). Read the given data carefully and answer the questions.
= 600 - 256 = 344
:
Find the decrement percentage in the population of village S in the year 2014 over the year 2018?
2. The pie chart shown below shows the total income of Jhon in six different months and the percentage distribution in these months. Read the data carefully and answer the given questions.
Given, Income of john in the month of March and July together = 12% + 22% = 34% Income of john in the month of August and December together = 18% + 18% = 36 %
Income of John in July and December together = 22% + 18% = 40% income of john in January and March together = 16% + 12% = 28%
We can see in the pie chart; the July month shows the highest percent increase in income as compared to the previous month, which is equal to
Income in the month of November and December together = 18% + 14 % = 32%
Jhon's average income in starting four months (January, March, July, August) = = 2720 Jhon's average income in starting four months (July, August, November, December) = 2880 So, the required difference = 2880 - 2720 = 160 ## Questions based on Line Graph1. Read the given line graph carefully and answer the questions. The Line graph shows the percentage of AC sold by six shopkeepers.
AC's sold by shopkeeper Q and U together = (15 + 35)% = 50% AC's sold by shopkeeper P and S together = (10 + 5)% = 15%
AC's sold by shopkeeper T and V together = (25+40)% = 65% than AC's sold by shopkeeper R and S together = (20 + 5)% = 25%
Total AC's sold by shopkeeper V
AC's sold by shopkeeper T, R and P together = 15+20+10 = 45/3 = 15 AC's sold by shopkeeper P and V together = 40 + 10 = 50/2 = 25 Next TopicWhat is Cron Job |