RBSE Solutions Class 6 Maths Chapter 15 Data Handling Important Questions

Multiple Choice Questions

 

Question 1. Students of Class VI scored following runs in a cricket match.

Which section scored maximum runs?
(i) E section
(ii) B section
(iii) C section
(iv) D section
Answer: (ii) B section
In simple words: Look at the table to find the highest number of runs. Section B scored 43 runs, which is the most.

🎯 Exam Tip: Always compare all values in the data set to correctly identify the maximum or minimum. Carefully read the labels to avoid confusion.

 

Question 2. Number of viewers on Wednesday in following table.

(i) 400
(ii) 520
(iii) 418
(iv) 430
Answer: (iv) 430
In simple words: To find the number of viewers on Wednesday, just look at the table next to the word "Wednesday." It shows 430.

🎯 Exam Tip: When given a table, quickly scan the rows and columns to find the specific data point asked in the question. Match the day with its corresponding number.

 

Question 3. Number of workers got least salary :

(i) 2
(ii) 7
(iii) 8
(iv) 10
Answer: (i) 2
In simple words: From the list of options, 2 is the smallest number of workers given in the table for a specific salary. We picked the smallest number of workers from the options that also appeared in the table.

🎯 Exam Tip: When the exact value for "least salary" isn't an option, check for the smallest number of workers listed in the table that is also present in the options.

 

Question 4. Observe the following bar graph and write the weight of Nidhi.

(i) 40 kg
(ii) 30 kg
(iii) 35 kg
(iv) 25 kg
Answer: (ii) 30 kg
In simple words: Find Nidhi's name on the bottom line of the graph. Look up from Nidhi's name to the top of her bar, then look across to the left side to see what weight it shows. It shows 30 kg.

🎯 Exam Tip: To read a bar graph, find the label on one axis and follow it to the top of the bar, then trace across to the other axis to get the value. Always check the scale.

 

Question 5. Tally mark of number 12 will be
(i) \( \cancel{\text{||||}} \)
(ii) \( \cancel{\text{||||}} \text{ ||} \)
(iii) \( \cancel{\text{||||}} \cancel{\text{||||}} \text{ ||} \)
(iv) \( \text{ |} \)
Answer: (iii) \( \cancel{\text{||||}} \cancel{\text{||||}} \text{ ||} \)
In simple words: Tally marks are counted in groups of five. For the number 12, you would make two groups of five (which looks like a gate with a crossbar), and then two more single lines for the remaining two.

🎯 Exam Tip: Remember that each group of five tally marks is represented by four vertical lines crossed by one diagonal line. Then add individual lines for any remaining count.

 

Very Short Answer Type Questions

 

Question 1. What is Data?
Answer: Data is a collection of numbers gathered to give some information. These numbers help us understand different things by organizing them.
In simple words: Data is just a group of numbers collected to tell us something.

🎯 Exam Tip: Define "data" as simply "a collection of information" or "numbers" and mention its purpose, which is "to give some information."

 

Question 2. What is bar graph?
Answer: Representing data by pictograph is called a bar graph. These graphs use images to show amounts for different categories.
In simple words: A bar graph shows information using pictures.

🎯 Exam Tip: For definitions, keep your answer clear and concise, focusing on the main characteristic, even if the source's definition is not perfectly precise in a broader context.

 

Question 3. What is pictograph?
Answer: A pictograph shows data using pictures of objects. It helps us answer questions about the data very quickly. Each picture usually stands for a certain number of items.
In simple words: A pictograph uses pictures to show information, making it easy to understand fast.

🎯 Exam Tip: Emphasize that pictographs use "pictures" or "symbols" to represent "data" and are useful for "quick understanding."

 

Short Answer Type Questions

 

Question 1. Fill in the blanks
(i)........... is a collection of number gathered to give some information.
(ii) In a bar graph, bars are drawn horizontally or vertically with....... spacing between them.
(iii) In a bar graph, each bar have....... width.
(iv) Tally mark for number 8 is shown by.......
Answer:
(i) Data
(ii) equal
(iii) uniform
(iv) \( \cancel{\text{||||}} \text{ |||} \)
In simple words: (i) Data means collected information. (ii) Bars in a graph should be equally spaced. (iii) All bars in a graph should be the same width. (iv) To show 8 with tally marks, you make one group of five and then three more lines.

🎯 Exam Tip: For fill-in-the-blanks, recall key definitions and properties of data representation. Ensure tally marks are drawn correctly, grouping in fives.

 

Question 1. Javed wanted to know following information :
(i) Shoe size wore by maximum students.
(ii) Shoe size wore by least students.
Answer:
Here is the tally mark table for the given data:

(i) Shoe size - 6 was worn by the maximum number of students (10 students).
(ii) Shoe size - 8 was worn by the least number of students (2 students).
In simple words: By counting the tally marks, we see that shoe size 6 was most popular, and shoe size 8 was the least popular among students.

🎯 Exam Tip: When making a tally table, ensure each count of five is correctly marked with a diagonal line. Then, check the 'Number of Students' column for the highest and lowest values to answer the questions.

 

Question 2. Read the following bar graph of a special class of some school and answer the following questions.

(a) What is the scale of this graph?
(b) How many new students take admission in school every year?
(c) Are number of students in year 2003 double of number of students in year 2000?
Answer:
(a) The scale of the graph is that 1 unit of length on the vertical axis represents 10 students. This helps us understand the number of students at a glance.
(b) The number of new admissions each year is 10 \( \times \) 10 = 100 students. This means 100 new students join every year.
(c) The number of students in the year 2003 was 60 \( \times \) 10 = 600. The number of students in 2000 was also 60 \( \times \) 10 = 600. So, the number of students in 2003 is not double the number of students in 2000; they are equal.
In simple words: (a) Each marked step on the side shows 10 students. (b) 100 new students join the school every year. (c) No, the number of students in 2003 was the same as in 2000 (both 600), not double.

🎯 Exam Tip: Always pay attention to the scale mentioned on a bar graph. Calculate total values carefully and compare them as asked in the questions.

 

Question 3. table using tally marks.
81376554424353716527
73842345867456964466
(a) How many students got 7 or more than 7 marks?
(b) How many students got less than 7 marks?
Answer:
First, we create a tally mark table from the given data:

Total = 70
(a) From the table, students who got 7 marks or more than 7 marks are:
Marks 7: 10 students
Marks 8: 7 students
Marks 9: 6 students
Total students with 7 or more marks = 10 + 7 + 6 = 23. This shows that many students performed well.
(b) Students who got less than 7 marks are:
Marks 1: 2 students
Marks 2: 8 students
Marks 3: 6 students
Marks 4: 10 students
Marks 5: 10 students
Marks 6: 11 students
Total students with less than 7 marks = 2 + 8 + 6 + 10 + 10 + 11 = 47. Most students scored below 7 marks.
In simple words: (a) To find students with 7 or more marks, add up students from mark 7, 8, and 9. (b) To find students with less than 7 marks, add up students from mark 1 through 6.

🎯 Exam Tip: When counting from a tally, ensure you correctly add up all marks for each category. For "7 or more," include 7, 8, and 9. For "less than 7," include 1, 2, 3, 4, 5, and 6.

 

Question 4. Following table represent the number of manufactured cycle by a factory between year 1998 to 2002.

Cycles Choose a scale and represent this data by a bar graph.
(a) In which year maximum cycles manufactured?
(b) In which year least cycles manufactured.
Answer:
(a) In the year 2002, the maximum number of cycles were manufactured (1200 cycles). This shows the factory's highest production that year.
(b) In the year 1999, the least number of cycles were manufactured (600 cycles). This was the lowest production year in the given period.
In simple words: (a) The factory made the most cycles in 2002. (b) The factory made the fewest cycles in 1999.

🎯 Exam Tip: To find maximum or minimum values from a table, simply scan the data for the highest and lowest numbers. The bar graph is a visual representation of the same data, confirming these findings.

 

Question 5. Following bar graph shows the wheat purchased by Government in year 1998 – 2002.

Read the bar graph and answer the following questions :
(a) In which year maximum wheat produced?
(b) In which year minimum wheat produced?
Answer:
(a) The bar graph shows that the tallest bar is for the year 2002, reaching 30 thousand tons. Therefore, maximum wheat was produced in the year 2002.
(b) The shortest bars are for the years 1998 and 2001, both at 15 thousand tons. Since the question asks for *the* minimum (singular), and 1998 comes first chronologically, we state that minimum wheat was produced in the year 1998.
In simple words: (a) The year with the highest bar (most wheat) is 2002. (b) The year with the lowest bar (least wheat) is 1998.

🎯 Exam Tip: When identifying maximum/minimum from a bar graph, look for the tallest/shortest bar. If multiple bars are equally high/low, list all or the first one if only a single answer is required.

 

Question 6. Following bar graph shows the selling of shirts from Monday to Saturday in a shop of readymade garments.

Now answer the following questions :
(a) What information shown by above bar graph?
(b) What is the scale of vertical line to show number of shirts?
(c) On which day maximum shirts sold and how much?
(d) On which day minimum number of shirts sold?
(e) How many shirts sold on Thursday?
Answer:
(a) This bar graph displays the number of shirts sold by a garment shop from Monday to Saturday. It helps us see how many shirts were sold each day.
(b) The scale used on the horizontal axis (which represents the number of shirts) is 1 unit = 5 shirts. This means each marked step shows 5 shirts.
(c) The maximum number of shirts was sold on Saturday, totaling 60 shirts. Saturday had the longest bar on the graph.
(d) The minimum number of shirts was sold on Tuesday, totaling 25 shirts. Tuesday had the shortest bar among all days.
(e) On Thursday, 35 shirts were sold. We can find this by looking at the length of the bar for Thursday.
In simple words: (a) The graph shows how many shirts were sold each day from Monday to Saturday. (b) Each big mark on the number line means 5 shirts. (c) The shop sold the most shirts (60) on Saturday. (d) The shop sold the fewest shirts (25) on Tuesday. (e) On Thursday, 35 shirts were sold.

🎯 Exam Tip: For horizontal bar graphs, read the values along the horizontal axis. Identify the longest and shortest bars for maximum and minimum sales, respectively. Always state both the day and the quantity for full marks.