RBSE Solutions Class 6 Maths Chapter 15 Data Handling Exercise 15.2

Question 1. At a primary health care centre numbers of patients treated of common flu during a week are recorded in the table given below. Prepare a pictograph indicating 5 patients with a symbol of 1 tablet.

Answer: To prepare the pictograph, we will use one symbol (like `◯` with a cross inside, representing a tablet) to show 5 patients. We then count how many groups of 5 are in each day's patient number. For example, if there are 25 patients, we draw 5 symbols (25 / 5 = 5). This makes it easy to see the data visually.

In simple words: We make a chart where one `◯` symbol stands for 5 patients. Then, for each day, we draw the right number of symbols to show how many patients were treated.

🎯 Exam Tip: Clearly state the chosen scale (e.g., 1 symbol = 5 units) at the top of your pictograph to avoid confusion.

Question 2. Following is the choice of subjects of 25 students of class VI : Hindi, Mathematics, English, Science, English, Hindi, Sanskrit, Mathematics, Computer Science, Social studies, Science, Mathematics, Mathematics, Social Studies, Hindi, English, Mathematics, Science, Computer Science, English, Mathematics, Mathematics, Mathematics, Sanskrit, Science, Hindi.
Answer: To find out the subject choices, we first count how many students chose each subject. This helps us make a frequency table. A frequency table shows how often each item appears in a list. Based on the counts, we can tell which subject is chosen the most and which is chosen the least.

Based on the table, Mathematics is the most preferred subject among the students. Sanskrit and Social Studies are the least preferred subjects, with only one student choosing each.
In simple words: We counted how many students picked each subject. Mathematics was chosen by most students, while Sanskrit and Social Studies were chosen by the fewest.

🎯 Exam Tip: When making tally marks, remember to cross out every fifth mark for easy counting (e.g., `℉℉℉℉℉` for 5).

Question 3. Number of votes secured by candidates contesting for Panchayath election under following election symbols are :

Prepare a pictograph choosing the scale of your choice and answer the following questions :
(i) Which election symbol's candidate won the election?
(ii) What is the difference between number of votes secured by winner candidate and first runner up candidate?
Answer: To create the pictograph, we can let one `▲` (triangle) symbol represent 50 votes. Then, we count how many `▲` symbols are needed for each candidate's votes.

(i) The candidate with the Ball election symbol won the election because they received the highest number of votes (350 votes).
(ii) The winner candidate received 350 votes. The first runner-up candidate (Television symbol) received 300 votes. The difference between their votes is calculated as:
Difference = Winner candidate votes - First runner up candidate votes
= 350 - 300
= 50 votes. The difference shows how close the second place was to winning.
In simple words: The candidate with the Ball symbol won because they got 350 votes. The second-place candidate got 300 votes, so the difference between the winner and the runner-up was 50 votes.

🎯 Exam Tip: When calculating the difference between two values, always subtract the smaller value from the larger value to get a positive result.

Question 4. Following is the data regarding measures of heights of students (in cm) in a class :
148, 150, 152, 149, 151, 154, 153, 152, 150, 149, 148, 152, 153, 154, 152, 151, 152, 153, 152, 152, 153, 151, 152, 152, 153
(i) Prepare a frequency table using tally marks for the above measures of heights.
(ii) Prepare a pictograph choosing the scale of your choice.
(iii) Find the measure of height of the tallest student.
(iv) Find the difference between measures of heights of tallest student and shortest student.
Answer: We need to organize the height data by creating a frequency table, a pictograph, and then identify the tallest and shortest students and their height difference. This helps us understand the distribution of heights in the class easily.

(i) Frequency Table with Tally Marks:

(ii) Pictograph (Let 1 `☺` symbol = 1 student): We will draw a smiley face for each student at a specific height. This makes the data visual and easy to compare.

(iii) From the given data and the frequency table, the height of the tallest student is 154 cm. We find this by looking for the largest number in the 'Height of Students (cm)' column.
(iv) The height of the tallest student is 154 cm, and the height of the shortest student is 148 cm. The difference between their heights is calculated as:
Difference = Height of tallest student - Height of shortest student
= 154 - 148
= 6 cm. This small range shows that most students are quite close in height.
In simple words: The tallest student is 154 cm. The shortest student is 148 cm. The difference in height between the tallest and shortest students is 6 cm.

🎯 Exam Tip: Always double-check your data set to correctly identify the highest and lowest values before calculating the range or difference.