RS Aggarwal Solutions for Class 6 Chapter 22 Data Handling

Exercise 22.1

Question 1. The sale of electric bulbs on different days of a week is shown below. Observe the pictograph and answer the following questions:
(i) How many bulbs were sold Friday?
(ii) On which day maximum numbers of bulbs were sold?
(iii) If one bulb were sold at the rate of Rs 10, what was the total earning on Sunday?
(iv) Can you find out the total earning of the week?
(v) If one big carton can hold 9 bulbs. How many cartons were needed in the given week, more than 7, more than 8 or more than 9?
Answer: (i) The pictograph shows 7 figures of bulbs on Friday. Given that 1 figure = 2 bulbs, the total number of bulbs sold on Friday = 2 × 7 = 14
(ii) Sunday displays the highest number of figures, which is 9. Therefore, the maximum bulbs were sold on Sunday.
(iii) The pictograph shows 9 figures of bulbs on Sunday. So, the total number of bulbs sold on Sunday = 2 × 9 = 18. Since each bulb costs Rs 10, the total earning on Sunday = Rs 10 × 18 = Rs 180
(iv) Throughout the week, the total number of figures shown = 6 + 8 + 4 + 5 + 7 + 4 + 9 = 43. Therefore, the total number of bulbs = 43 × 2 = 86. So, the total earning of the week = Rs 10 × 86 = Rs 860.
(v) The total number of bulbs = 86. One big carton holds 9 bulbs. To hold 86 bulbs, we need 86÷9 = 9.59 cartons. So, more than 9 cartons are needed.

Exam Tip: Always multiply the number of symbols by their value (1 symbol = 2 bulbs) to get the actual count. For division problems involving cartons, always round up the result to the next whole number.

Question 2. A survey was carried out in a certain school to find about different modes of transport used by students to travel to school each day. 30 students of class VI were interviewed and the data obtained was displayed in the form of pictographs given below. Look at the above pictograph and answer the following questions:
(i) Look at the above pictograph and answer the following questions
(ii) How many students are using cycle or walking as a mode of travel?
(iii) Which is the most popular mode of travel?
Answer: (i) From the pictograph, we can count the number of students for each mode of transport.
(ii) The pictograph shows 3 figures for cycling and 8 figures for walking. Therefore, the total number of students using cycle or walking as a mode of travel = 3 + 8 = 11
(iii) The pictograph indicates that the school bus has the maximum number of figures, which is 10. So, the school bus is the most favored way to travel to school.

Exam Tip: Always add the symbol counts for combined questions and identify the mode with the most symbols for finding the most popular option.

Question 3. The number of girl students in each class of co-ed. Middle school is depicted by the following pictograph. Observe the above pictograph and answer the following questions:
(i) Which class has the maximum number of girl students?
(ii) Is the number of girls in class VI is less than the number of girls in class V?
(iii) How many girls are there in VII class?
Answer: (i) From the pictograph, Class I displays 6 figures. Given that 1 figure = 4 girls, the number of girls in Class I = 6 × 4 = 24. Checking all classes, Class I has the highest count. Therefore, Class I has the maximum number of girls.
(ii) Class VI shows 4 figures, which means 4 × 4 = 16 girls. Class V shows 2.5 figures, which means 2.5 × 4 = 10 girls. Since 16 is greater than 10, the number of girls in Class VI is not less than the number of girls in Class V. Answer: No
(iii) From the pictograph, Class VII displays 3 figures. Therefore, the number of girls in Class VII = 3 × 4 = 12

Exam Tip: Always convert fractional figures to actual numbers by multiplying by the symbol value, and carefully compare quantities when answering yes/no questions.

Question 4. In a village six fruit merchants sold the following number of fruit baskets in particular season. Observe the above pictograph and answer the following questions.
(i) Which merchant sold the maximum number of baskets?
(ii) How many fruit baskets were sold by Anwar?
(iii) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?
Answer: (i) From the pictograph, Martin shows 9.5 figures. Given that 1 figure = 100 fruit baskets, Martin sold the maximum number of baskets, which is 9.5 × 100 = 950 fruit baskets. Answer: Martin
(ii) Anwar shows 7 figures in the pictograph. Therefore, the number of fruit baskets sold by Anwar = 7 × 100 = 700
(iii) From the pictograph: Anwar sold 700 baskets, Martin sold 950 baskets, and Ranjit Singh sold 800 baskets. All three of them have sold 600 or more baskets. So, Anwar, Martin, and Ranjit Singh are the merchants planning to buy a godown for the next season.

Exam Tip: Always multiply the number of symbols by their assigned value, and carefully list all merchants meeting the given condition (≥600 baskets in this case).

Question 5. The pictograph shows different subject books which are kept in a library.
(i) How many English books are there in the library?
(ii) How many maths books are there?
(iii) Which books are maximum in number?
(iv) Which books are minimum in number?
Answer: (i) From the pictograph, English shows 8 figures. Given that 1 figure = 100 books, the number of English books in the library = 8 × 100 = 800
(ii) The pictograph shows 2.5 figures for Math books. Therefore, the number of Math books = 2.5 × 100 = 250
(iii) Looking at all the figures across subjects, English has the highest count with 8 figures, representing 800 books. So, English books are maximum in number.
(iv) Math shows the lowest count with 2.5 figures, representing 250 books. History is the next lowest with 2 figures, representing 200 books. Therefore, History books are minimum in number.

Exam Tip: Always compare the figure counts across all categories to identify maximum and minimum values. Ensure accurate multiplication of fractional figures by the given symbol value.

Exercise 22.2

Question 1. The following are the details of the number of students in a class of 30 students presents a week. Represent the above data by a pictograph.
Answer: To represent the given data using a pictograph, we select a suitable scale where each icon represents a specific number of students. Here, 1 icon of a student represents 4 students. Using this scale, the number of icons for each day is calculated as:
Monday: 24 ÷ 4 = 6 icons
Tuesday: 20 ÷ 4 = 5 icons
Wednesday: 28 ÷ 4 = 7 icons
Thursday: 30 ÷ 4 = 7.5 icons
Friday: 26 ÷ 4 = 6.5 icons
Saturday: 22 ÷ 4 = 5.5 icons
The pictograph displaying this information shows each day with the corresponding number of student icons arranged horizontally in a table format.

Exam Tip: When creating a pictograph, select a scale that divides the data values evenly or results in simple fractions. Clearly label the scale so readers understand what each symbol represents.

Question 2. Total number of students of a school in different years is shown in the following table: Represent the above data by a pictograph.
Answer: To create a pictograph from the given student enrollment data, we choose an appropriate symbol scale. Using an icon to represent 50 students, the number of icons needed for each year is:
1996: 400 ÷ 50 = 8 icons
1998: 550 ÷ 50 = 11 icons
2000: 450 ÷ 50 = 9 icons
2002: 600 ÷ 50 = 12 icons
2006: 650 ÷ 50 = 13 icons
Each year is displayed in a row with the corresponding number of student symbols arranged horizontally, making it easy to compare enrollment across different years at a glance.

Exam Tip: Choose a symbol scale that produces whole numbers or simple fractions for cleaner representation. Always verify your division calculations before drawing the pictograph.

Question 1. (a) Prepare a pictograph of students using one symbol an icon of a student to represent students and answer the following questions:
(i) How many symbols represent total number of students in the year 2002?
(ii) How many symbols represent total number of students for the year 1998?

Exam Tip: When preparing a pictograph, always choose a round number that divides evenly into all data values — this keeps fractional symbols minimal and the picture cleaner.

Question 2. (b) Prepare another pictograph of students using any other symbol each represents students. Which pictograph do you find more informative?
Answer: When you make a pictograph where each icon stands for 50 students instead of 100, you get a clearer picture with fewer partial symbols. The second pictograph is more useful to look at. The reason is straightforward: in the second pictograph, all icons are whole and complete, which makes it much easier to read and understand at a glance.
In simple words: Using smaller values per icon (like 50 instead of 100) gives you more complete symbols and fewer broken ones, making the pictograph easier to interpret.

Exam Tip: Always state which pictograph you prefer and justify your choice by comparing how easy or hard it is to read fractional vs. complete symbols.