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Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

Q1: The below pictograph shows the data on the number of vehicles parked in a parking lot throughout the week.

Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

Answer the following questions:

(i) On which day was the maximum number of vehicles parked?

(ii) On which days the same number of vehicles were parked?

(iii) How many total vehicles were parked throughout the week?

Solution:

(i) Thursday

(ii) Tuesday, Wednesday and Saturday.

(iii) 140 vehicles were parked (28 x 5 = 140)

Q2: The following pictograph shows the data on the number of students who like a particular sport.Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

Answer the following questions:

(i) How many students like football and cricket?

(ii) How many more students like basketball than volleyball?

Solution:

(i) Number of students who like football = 5 × 3 = 15

Number of students who like cricket = 4 × 3 = 12

Number of students who like football and cricket = 15 + 12 = 27

(ii) Number of students who like basketball more than volleyball = 1 × 3 = 3

Q3: The following pictograph shows the data on the number of hours a student spends on a particular activity during the day.

Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

Answer the following questions:

(i) How many hours does the student spend studying, playing and watching TV?

(ii) How many hours does the student spend eating and sleeping?

Solution:

(i) Number of hours spent studying = 2 × 2 = 4 hours

Number of hours spent playing = 1 × 2 = 1 hour

Number of hours spent watching TV = ½ × 2 = 1 hour

Number of hours spent studying, playing and watching TV = 4 + 1 + 1 = 6 hours.

(ii) Number of hours spent eating = 21/2 × 2 = 3/2 × 2 = 3 hours

Number of hours spent sleeping = 4 × 2 = 8 hours

Number of hours spent eating and sleeping = 3 + 8 = 11 hours

Q4: Consumers were polled about their favourite ice cream flavours in a survey. Draw a bar graph for the following data:

Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

Solution:

From the given data, we can observe the following:

Generally, we can draw the bar graph using the frequencies of different flavours. They are:

The frequency of vanilla flavour – 16

The frequency of strawberry flavour – 5

The frequency of chocolate flavour – 12

The frequency of mint chocolate – 3

The frequency of other ice cream flavours – 6.

Now, draw the bar graph representing the different ice cream flavours on X-axis and frequencies on Y-axis.

Hence, the bar graph for the given data is drawn as follows:Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

Q5: The table below shows the favourite colour of 200 kids in a class.Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

(1) Using the information provided, create a bar graph.

(2) Which colour is the most preferred and which colour is the least preferred?

(3) How many kids chose red as their favourite colour?

Solution:

(1) First, we select an appropriate scale and begin at zero.

Because the data’s highest value is 50, we know that all of the bars will fall between 0 and 50, and we’ll choose a scale that keeps the length between 0 and 50.

For every 10 students, we take 1 unit. The graph is then drawn and labelled as seen in the figure.Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT

(2) Because the bar representing blue colour is the tallest, blue is the most preferred colour.

Similarly, the bar representing green colour is the shortest; hence, green is the least preferred colour.

(3) From the given information, red was preferred by 45 students.

The document Important Questions: Data Through Pictures | Mathematics (Maths Mela) Class 5 - New NCERT is a part of the Class 5 Course Mathematics (Maths Mela) Class 5 - New NCERT.
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FAQs on Important Questions: Data Through Pictures - Mathematics (Maths Mela) Class 5 - New NCERT

1. What is the importance of using pictures in data representation?
Ans. Using pictures in data representation is important because they help in visualizing complex information in a simpler and more understandable manner. Pictures can convey data trends, comparisons, and relationships more effectively than text alone, making it easier for viewers, especially children, to grasp concepts quickly.
2. How can bar graphs and pie charts be utilized in data representation?
Ans. Bar graphs are used to compare different categories of data visually, where the length of each bar corresponds to the value it represents. Pie charts, on the other hand, are used to show parts of a whole, where each slice represents a percentage of the total. Both tools help in analyzing and interpreting data efficiently.
3. What are some common types of data representation used in Class 5?
Ans. Common types of data representation taught in Class 5 include bar graphs, pie charts, line graphs, and pictographs. Each type serves a different purpose, such as showing changes over time, comparing quantities, or illustrating proportions in an engaging way.
4. How can students create their own pictographs for data representation?
Ans. Students can create their own pictographs by first collecting data on a specific topic, such as favorite fruits among classmates. They then choose symbols or images to represent each quantity and ensure that each symbol represents a consistent number of items (e.g., 1 symbol = 2 fruits). This hands-on activity enhances their understanding of data representation.
5. Why is it essential for students to learn about data representation at a young age?
Ans. Learning about data representation at a young age is essential because it helps students develop critical thinking and analytical skills. It prepares them to interpret and present information effectively, which is crucial in many subjects and real-life situations. Early exposure to data representation also fosters a positive attitude towards mathematics and science.
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