Samacheer Kalvi Class 6 Maths Solutions Term 1 Chapter 5 Statistics Exercise 5.3

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Ex 5.3

 

Question 1. Read the given Bar Graph which shows the percentage of marks obtained by Brinda in different subjects in an assessment test.
(i) 1 Unit = .......... % of marks on vertical line.
(ii) Brinda has scored maximum marks in ........ subject.
(iii) Brinda has scored minimum marks in ........ subject.
(iv) The percentage of marks scored by Brinda in Science is ..........
(v) Brinda scored 60 % marks in the subject ..........
(vi) Brinda scored 20% more in ........ subject than ........ subject.
Answer:
(i) 1 Unit = 10% of marks on vertical line.
(ii) Brinda has scored maximum marks in Mathematics subject (80%). This means she did best in Mathematics.
(iii) Brinda has scored minimum marks in Language subject (40%). She needs to focus more on Language.
(iv) The percentage of marks scored by Brinda in Science is 70%.
(v) Brinda scored 60% marks in the English subject.
(vi) Brinda scored 20% more in Mathematics subject than Language subject.
In simple words: Look at the graph to find out how many marks Brinda got in each subject. The height of each bar tells you the percentage. Comparing the bars helps answer all the questions.

🎯 Exam Tip: Always pay attention to the scale on the axes of a bar graph, as it tells you what each unit represents.

 

Question 2. Chitra has to buy Laddus in order to distribute to her friends as follows:

Draw a Bar Graph for this data.
Answer: To draw the bar graph, first choose a suitable scale for the number of laddus. Here, 1 unit can represent 10 laddus. Then, draw bars of different heights for each class (VI, VII, VIII, IX, X) according to the number of laddus. The classes are typically put on the horizontal axis and the number of laddus on the vertical axis. This visually compares the number of laddus needed for each class.
In simple words: Draw a graph with classes at the bottom and number of laddus going up the side. Make a bar for each class as tall as the number of laddus they need. Use a scale like 10 laddus for each big line on the graph.

🎯 Exam Tip: When drawing a bar graph, ensure all bars have the same width and the spaces between them are equal. Label both axes clearly and give the graph a title.

 

Question 3. The fruits liked by the students of a class are as follows:

Draw a bar graph for data this data
Answer: To create the bar graph, select a scale for the number of students; for example, 1 unit could represent 2 fruits. Then, draw separate bars for each type of fruit (Bananas, Grapes, Apples, Mangoes, Guavas, Papayas, Other fruits). The height of each bar should match the number of students who like that particular fruit. This type of graph helps in quickly seeing which fruit is most popular.
In simple words: Draw a graph with different fruits at the bottom and number of students on the side. Make a bar for each fruit that goes up to the correct number of students who like it. Use a scale like 2 students for each big line.

🎯 Exam Tip: The choice of scale is important for clear presentation; pick one that allows the largest value to fit well on the graph while still showing differences clearly.

 

Question 4. The pictograph below gives the number of absentees on different days of the week in class six. Draw the Bar graph for the same.

The pictograph key states that each full person icon represents 4 students and each half person icon represents 2 students.
Answer: First, convert the pictograph data into numerical values for each day:

• Monday: 1 icon = 4 students
• Tuesday: 1 icon = 4 students
• Wednesday: 2 full icons + 1 half icon = \( (2 \times 4) + (1 \times 2) = 8 + 2 = 10 \) students
• Thursday: 3 full icons + 1 half icon = \( (3 \times 4) + (1 \times 2) = 12 + 2 = 14 \) students
• Friday: -- = 0 students
• Saturday: 3 full icons + 1 half icon = \( (3 \times 4) + (1 \times 2) = 12 + 2 = 14 \) students (The source image shows 4 full icons and 1 half, which would be 18 students. Going with the visual representation for Saturday, which has 4 full figures and one half, so \( (4 \times 4) + 2 = 18 \) students.)

Then, draw the bar graph by plotting the days on the horizontal axis and the number of absentees on the vertical axis. A suitable scale for the vertical axis would be 1 unit = 2 students. Draw bars for each day matching the calculated number of absentees. This helps to clearly visualize the attendance pattern throughout the week.
In simple words: Count how many students were absent each day using the pictograph key. For example, if a full person means 4 students and a half person means 2, count them up. Then, draw a bar for each day on a graph, making the bar as tall as the number of absent students.

🎯 Exam Tip: Always double-check your count from the pictograph, especially with half symbols, before drawing the bar graph to avoid errors.

 

Question 5. A bar graph can be drawn using
(a) Horizontal bars only
(b) Vertical bars only
(c) Both horizontal bars and Vertical bars
(d) Either horizontal bars or vertical bars
Answer: (d) Either horizontal bars or vertical bars
In simple words: You can draw a bar graph with the bars going sideways (horizontal) or standing up (vertical). Both ways are correct for showing data.

🎯 Exam Tip: Bar graphs are flexible; choose the orientation (horizontal or vertical) that best presents your data and makes it easy to read.

 

Question 6. The spaces between any two bars in a bar graph
(a) can be different
(b) are the same
(c) are not the same
(d) all of the options
Answer: (b) are the same
In simple words: When you draw a bar graph, the empty space between each bar must always be the same size. This keeps the graph neat and easy to understand.

🎯 Exam Tip: Maintaining equal spacing between bars is a key rule for correctly drawing bar graphs, ensuring fairness in visual comparison.