GSEB Class 6 Maths Solutions Chapter 9 Data Handling Exercise 9.1

Gujarat Board Textbook Solutions Class 6 Maths Chapter 9 Data Handling Ex 9.1

 

Question 1. In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.
8 1 3 7 6 5 5 4 4 2
9 5 3 7 1 6 5 2 7
7 3 8 4 2 8 9 5 8 6
7 4 5 6 9 6 4 4 6 6
(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?
Answer: We will create the following table:

(a) From the given table, we can see that \( 5 + 4 + 3 \), which is 12 students, got marks equal to or more than 7.
(b) \( 2 + 3 + 3 \), meaning 8 students, got marks below 4.
In simple words: First, count how many students got each mark and show it with tally marks and numbers. Then, add up the students who got 7 or more, and separately add up those who got less than 4.

Exam Tip: Remember to clearly show your tally marks for each category. For questions involving "equal to or more than" or "below", make sure to include or exclude the boundary number correctly.

 

Question 2. Following is the choice of sweets of 30 students of Class VI. Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by most of the students?
Answer:
(a) We will prepare the following table:

(b) From the table, we can see that Ladoo is preferred by most of the students.
In simple words: First, count each sweet chosen by students and mark them in a tally table. Then, look at the totals to find which sweet was chosen the most.

Exam Tip: When counting from a list, cross out each item as you tally it to avoid errors. Always double-check your total count against the total number of items given in the question.

 

Question 3. Catherine threw a dice 40 times and noted the number appearing each time as shown below:
1 3 5 6 6 3 5 4 1 6
2 5 3 4 6 1 5 5 6 1
1 2 2 3 5 2 4 5 5 6
5 1 6 2 3 5 2 4 1 5
Make a table and enter the data using tally marks. Find the number that appeared:
(a) The minimum number of times.
(b) The maximum number of times.
(c) Find those numbers that appear an equal number of times
Answer:
We will create a table and enter the data using tally marks.

From the table, we discover that:
(a) The number 4 appeared the least number of times.
(b) The number 5 appeared the most number of times.
(c) The number 1 and 6 appeared the same number of times.
In simple words: Count how many times each number from 1 to 6 shows up when the dice is rolled 40 times. Use tally marks to help. Then, find which number appeared the least, which appeared the most, and if any numbers appeared the same amount of times.

Exam Tip: For large datasets, creating a clear tally table is essential to accurately answer questions about minimum, maximum, and equal frequencies. Double-check your tally counts for each number.

 

Question 4. The following pictograph shows the number of tractors in five villages.

Observe the pictograph and answer the following questions.
(i) Which village has the minimum number of tractors?
(ii) Which village has the maximum number of tractors?
(iii) How many are more tractors village C has as compared to village B?
(iv) What is the total number of tractors in all five villages?
Answer:
By looking at the pictograph, we observe the following:
(i) Village D has the fewest number of tractors.
(ii) Village C has the highest number of tractors.
(iii) Village C has \( 8 - 5 = 3 \) more tractors compared to village B.
(iv) The total number of tractors in all five villages is \( 6 + 5 + 8 + 3 + 6 = 28 \).
Thus, there are 28 tractors in total across all five villages.
In simple words: Look at the picture to see how many tractors each village has. Then, find the village with the least, the most, the difference between Village C and B, and finally add up all the tractors for the total.

Exam Tip: When working with pictographs, always check the key to understand what each symbol represents. This ensures accurate counting and comparisons.

 

Question 5. The number of girl students in each class of a co-educational middle school is depicted by the pictograph:

Observe this pictograph and answer the following questions:
(a) Which class has the minimum number of girl students?
(b) Is the number of girls in Class VI less than the number of girls in Class V?
(c) How many girls are there in Class VII?
Answer:
From the given pictograph, we discover that:
(a) Class VIII has the lowest number of girl students.
(b) No, the number of girls in Class VI is not fewer than the number of girls in Class V. Class VI has 4 girls, while Class V has 2 girls, so Class VI has more girls.
(c) In Class VII, there are \( 3 \times 4 = 12 \) girls.
In simple words: Look at the pictograph. For each class, count how many girl symbols there are and multiply by 4. Then, use these numbers to answer which class has the fewest girls, compare Class VI and V, and tell the total for Class VII.

Exam Tip: Always pay close attention to the value of each symbol in a pictograph's key. A common mistake is to count symbols without multiplying by their actual value.

 

Question 6. The sale of electric bulbs on different days of a week is shown below:

Observe the pictograph and answer the following questions:
(a) How many bulbs were sold on Friday?
(b) On which day were the maximum number of bulbs sold?
(c) On which days were the same number of bulbs sold?
(d) On which days were the minimum number of bulbs sold?
(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?
Answer:
By observing the pictograph, we can answer the following:
(a) 14 bulbs were sold on Friday (7 symbols x 2 bulbs/symbol).
(b) The largest number of bulbs, which is 18 bulbs, were sold on Sunday (9 symbols x 2 bulbs/symbol).
(c) The same number of bulbs were sold on Wednesday and Saturday (4 symbols x 2 bulbs/symbol = 8 bulbs each day).
(d) The fewest number of bulbs, which is 8 bulbs, were sold on Wednesday and Saturday.
(e) The total number of bulbs sold in the week is \( 12 + 16 + 8 + 10 + 14 + 8 + 18 = 86 \). Therefore, 10 cartons were required for the given week (since \( 86 \div 9 \approx 9.55 \), which means 10 cartons are needed to hold all the bulbs).
In simple words: Count the bulb symbols for each day and multiply by 2 to get the number of bulbs sold. Then, find the sales for Friday, the highest and lowest sales, and the days with equal sales. Finally, add all sales for the week and divide by 9 to see how many cartons were needed.

Exam Tip: When calculating cartons needed, remember to always round up to the next whole number if there's any remainder, as you can't have a fraction of a carton.

 

Question 7. In a village, six fruit merchants sold the following number of fruit baskets in a particular season.

Observe this pictograph and answer the following questions:
(a) Which merchant sold the maximum number of baskets?
(b) How many fruit baskets were sold by Anwar?
(c) The merchants who have sold 600 or more baskets are planning to buy a godown for the next season. Can you name them?
Answer:
By observing the pictograph, we find the following:
(a) Martin sold the highest number of baskets (9 baskets \(\times\) 100 = 900 baskets).
(b) Anwar sold \( 7 \times 100 \), which means 700 fruit baskets.
(c) Anwar (700 baskets), Martin (900 baskets), and Ranjit Singh (800 baskets) are the merchants who have sold 600 or more baskets and are planning to acquire a godown.
In simple words: Count the baskets for each merchant and multiply by 100 to find their total sales. Then, identify the merchant with the most sales, Anwar's specific sales, and which merchants sold 600 or more baskets.

Exam Tip: When working with pictographs, always confirm the value represented by each symbol in the key. This prevents miscalculations when converting symbols to numerical values.