Students often refer to Kerala State Syllabus SCERT Class 7 Maths Solutions and Class 7 Maths Chapter 14 Data Pictures Questions and Answers Notes Pdf to clear their doubts.
SCERT Class 7 Maths Chapter 14 Solutions Data Pictures
Class 7 Maths Chapter 14 Data Pictures Questions and Answers Kerala State Syllabus
Data Pictures Class 7 Questions and Answers Kerala Syllabus
Page 194
Question 1.
The pie chart below shows how the total cultivable land in a panchayat is utilised for different kinds of crops:
i. For which crop is most of the land used? Approximately what fraction of the total is this?
ii. For which crop is the least amount of land used? Approximately what fraction of the total is this?
iii. Approximately what fraction of the total is used for rubber?
Answer:
i. The largest section in the pie chart which corresponds to others. The fraction of land used for others is approximately \(\frac{7}{20}\).
By looking at the pie chart, we can observe that the largest segment occupies roughly a little more than one-third of the total chart. This segment can be estimated to take up around 35% of the total area.
To convert this percentage into a fraction:
Fraction = \(\frac{35}{100}=\frac{7}{20}\)
So, the largest segment approximately represents \(\frac{7}{20}\) of the total area.
ii. The smallest segment on the chart is for rice
This segment can be estimated to take up around 5% of the chart. To express this as a fraction:
Fraction = \(\frac{5}{100}=\frac{1}{20}\)
iii. There is another noticeable segment that is larger than the smallest but smaller than the largest segment. This appears to cover about 20% of the pie chart.
Converting this into a fraction:
Fraction = \(\frac{20}{100}=\frac{1}{5}\)
∴ Therefore, this segment represents approximately \(\frac{1}{5}\) of the total area.
Question 2.
In a class of 40 students, 20 use the school bus, 15 walk to the school and 5 ride bicycles to school. Draw a pie chart showing this.
Answer:
Number of students who use school bus = 20
Angle = (\(\frac{20}{40}\)) × 360° = 180°
Number of students who are going to school by walking = 15
Angle = \(\left(\frac{15}{40}\right)\) × 360° = 135°
Number of students who are going to school by Bicycles = 5
Angle = \(\left(\frac{5}{40}\right)\) × 360° = 45°
In percent we can,represent the sum as :
No of students who use school bus = \(\frac{20}{40}\) × 100 = 50%
No of students who walk = \(\frac{15}{40}\) × 100° = 37.5 %
No of students who are bicycle = \(\frac{5}{40}\) × 100 = 12.5 %
The School Bus segment occupies half of the chart, indicating that the majority of students use this mode of transportation.
The Walking segment represents a significant portion as well, showing that many students prefer to walk to school.
The Bicycles segment is the smallest, reflecting that fewer students ride bikes.
Question 3.
In a class 25% got A grade in a math test, 40% got B grade, 20% got C grade and the remaining D grade. Draw a pie chart showing this.
Answer:
A Grade: 25%
B Grade: 40%
C Grade: 20%
D Grade = 100% – (25% + 40% + 20%) = 100% – 85% = 15%
| Percentage of no: of students | Measurements of angles in pie chart |
| 25% | 360 × \(\frac{25}{100}\) = 90° |
| 40% | 360 × \(\frac{40}{100}\) = 144° |
| 20% | 360 × \(\frac{20}{100}\)= 72° |
| 15% | 360° × \(\frac{15}{100}\) = 54° |
Intext Questions And Answers
Question 1.
(i) Can you answer these questions using this pictures?
Approximately what fraction of the world population is that of India?
Answer:
The section for India appears to cover about one-fifth (or 20%) of the pie chart. So, India’s population is approximately \(\frac{1}{5}\) of the world population.
(ii) What about the population of China?
Answer:
The section for China is almost equal to India and looks like about one-fifth (or 20% ) of the pie chart. So, China’s population is approximately – of the world population.
(iii) Approximately what fraction of the population of India is that of the USA?
Answer:
The USA section is much smaller than India’s section, roughly about one-fourth the size. Therefore, the USA’s population is approximately \(\frac{1}{4}\) of India’s population.
(iv) Approximately what fraction of the world population is the combined population of India, China, and the USA?
Answer:
India is about – th, China is about \(\frac{1}{5}\) th, and the USA is about \(\frac{1}{20}\) tn of the world population. Adding these fractions:
\(\frac{1}{5}+\frac{1}{5}+\frac{1}{20}=\frac{4+4+1}{20}=\frac{9}{20}\)
So, the combined population of India, China, and the USA is approximately \(\frac{9}{20}\) th of the world population.
Class 7 Maths Chapter 14 Kerala Syllabus Data Pictures Questions and Answers
Question 1.
The picture below show the votes each candidate got in a school election.
a) Who won the election?
b) What all information do you get from this picture?
Answer:
a) Maria won the election
b) (i) Who got the least votes.
(ii) Who is in the second position.
Question 2.
The bar graph shows the number of girls in the three divisions of class 7 in a school.
Draw a pie chart of this.
Answer:
| class | No: of students | Measurements of angles in pie chart |
| 7A | 20 | 360 × \(\frac{20}{60}\) = 120° |
| 7B | 25 | 360 × \(\frac{25}{60}\) = 150° |
| 7C | 15 | 360 × \(\frac{15}{60}\) = 90° |
| TOTAL | 60 | 360° |
Question 3.
Given below is a pie chart of different electronic gadgets used by the students for online learning during the covid period.
Observe the given pie chart and answer the following questions.
a) Which is the most used gadget?
b) Arrange the gadgets in descending order based on the uses of them.
c) Examine the pie chart and prepare two suitable questions based on the pie chart.
Answer:
a) Mobile phone
b) Mobile phone, TV, Tab, laptop
c) i) Which is the least used gadget? ‘
ii) The number of persons used TV and tab is 100. How many number of persons used the other two.
Class 7 Maths Chapter 14 Notes Kerala Syllabus Data Pictures
Data pictures are visual representations of information that help us understand data in an easy and fun way. They include things like bar graphs, pie charts, and pictograms. Imagine trying to explain how many students in your class like different types of fruits just by listing numbers-it could get confusing! But with data pictures, you can create a colorful pie chart or a simple bar graph to show the information clearly. Data pictures make it easier to compare, analyze, and communicate data.
Data Pictures
Data pictures generally refer to visual representations of data that make complex information easier to • understand at a glance. These can include graphs, charts, and infographics. In class 5 we have seen bargraphs and its uses. So here is a table which shows the various expenses in a household, as percents . of the total.
| Item | Amount |
| Food | 35% |
| Health | 25% |
| Education | 20% |
| Others | 15% |
| Savings | 5% |
The bar graph of the above data is,
From this bargraph, we cannot see at a glance, approximately what fraction of the whole are the expenses for various items. For this we use another representation of the same data.
From this visualization, we can observe not only that the largest portion of spending is on food, which accounts for about one-third of the total expenses, but also that health-related expenses represent roughly a quarter of the total. This type of representation is known as a pie chart.
On a pie chart, we indicate \(\frac{1}{5}\) of a circle by drawing an angle of \(\frac{1}{5}\) × 360°=72° at the centre.
In table, the expenditure of food is \(\frac{35}{100}=\frac{7}{20}\) of the total.
To mark this on circle, we should take this as \(\frac{7}{20}\) × 360 = 126° at the centre
A pie chart is a circular chart divided into slices to show how different parts make up a whole. Each slice represents a portion of the total, with the size of each slice indicating the proportion of that part compared to the entire circle.