NCERT Solutions for Class 6 Maths, Chapter 9, Data Handling, Exercise 9.1 involves study of tally charts and pictograph. A tally chart is used to count frequencies of the data and pictograph represents data in the form of pictures, objects or parts of objects. Exercise 9.1, Class 9, maths, Chapter 9 has total seven questions.
NCERT Solutions for Class 6 Maths, Chapter 9, Data Handling, Exercise 9.1
Q.1. In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.
(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?
Ans:
(a) Twelve students obtained marks equal to or more than 7.
(b) Eight students obtained marks below 4.
Q.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?
Ans: (a) By observing the choice of sweets of 30 students. We may construct the table as shown below:
(b) Ladoo is the most preferred sweet among students because 11 students are preferred to eat.
Q.3. Catherine threw a dice 40 times and noted the number appearing each time as shown below :
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.
Ans:
(a) The minimum number of times = 4
(b) The maximum number of times = 5
(c) 1 and 6 are the numbers that appear an equal number of times.
Q.4. 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 more tractors village C has as compared to village B.
(iv) What is the total number of tractors in all the five villages?
Ans: (i) Village D has the minimum number of tractors.
(ii) Village C has the maximum number of tractors.
(iii) Village B has 5 tractors and Village C has 8 tractors
= 8 – 5 = 3 tractors
Village C has 3 more tractors as compared to village B.
(iv) Total number of tractors in all the five villages = 6 + 5 + 8 + 3 + 6 = 28 tractors
Q.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?
Ans: from given table, one face is equal to number of 4 girls. So, there are 24, 18, 20, 14, 10, 16, 12 and 6 girls respectively from class I to VIII
(a) Class VIII has the minimum number of girl students.
(b) No. Class V has 10 girl students and Class VI has 16 girl students.
(c) The number of girls in Class VII are 12 (3×4=12 girls).
Q.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 of the days same number of bulbs were sold?
(d) On which of the days minimum number of bulbs were sold?
(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?
Ans:
(a) Number of bulbs sold on Friday are 14 bulbs.
(b) Maximum number of bulbs were sold on Sunday i.e., 18 are sold.
(c) On Wednesday and Saturday 8 bulbs are sold.
(d) Minimum number of bulbs were sold on Wednesday and Saturday i.e., 8 bulbs.
(e) Total number of bulbs sold in a week = 12 + 16 + 8 + 10 + 14 + 8 + 18 = 86
If one big carton can hold 9 bulbs. Therefore, the number of carton required to hold 86 bulb $=\frac{86}{9}\approx 10$.
Hence, 10 cartons required to hold the bulbs.
Q.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 number of baskets are planning to buy a godown for the next season. Can you name them?
Ans:
(a) Martin has sold the maximum number of baskets.
(b) 700 (7 x 100) fruit baskets were sold by Anwar.
(c) Anwar, Martin and Ranjit Singh are planning to buy a godown for the next season.
Q.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 number of baskets are planning to buy a godown for the next season. Can you name them?
Ans: (a) Martin has sold the maximum number of baskets.
(b) 700 (7 x 100) fruit baskets were sold by Anwar.
(c) Anwar, Martin and Ranjit Singh are planning to buy a godown for the next season.