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04
NCERT Solutions · Maths Ch 4
Data Handling and Presentation
27 questions · 4 exercises
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Ex 4.1
Ex 4.2
Ex 4.3
Ex 4.4
NCERT answers with full exam-style working, step by step. Tap a question to open its solution.
1
EXERCISE 4.1 · 8 QUESTIONS
Collecting and Organising Data
Q1
What would you do to find the most popular game among Naresh's and Navya's classmates? What is the most popular game in their class?
(2 marks)
Q2
Pari wants to respond to the questions below. Put a tick for the questions where she needs to carry out data collection and a cross for the questions where she does not need to collect data. (a) What is the most popular TV show among her classmates? (b) When did India get independence? (c) How much water is getting wasted in her locality? (d) What is the capital of India?
(2 marks)
Q3
Shri Nilesh counted the students' choices of sweets with tally marks: Jalebi |||| | (6), Gulab jamun |||| |||| (9), Gujiya |||| |||| ||| , Barfi |||, Rasgulla |||| ||. Complete the table. (a) How many students chose jalebi? (b) Barfi was chosen by how many students? (c) How many chose gujiya? (d) Rasgulla by how many? (e) How many chose gulab jamun?
(3 marks)
Q4
Is the above table sufficient to distribute each type of sweet to the correct student? Explain. If it is not sufficient, what is the alternative?
(2 marks)
Q5
The shoe sizes of the students in Sushri Sandhya's class in ascending order are 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7. (a) The largest shoe size is ___. (b) The smallest shoe size is ___. (c) There are ___ students who wear shoe size 5. (d) There are ___ students who wear sizes larger than 4.
(2 marks)
Q6
How did arranging the data in ascending order help to answer these questions? Are there other ways to arrange the data?
(2 marks)
Q7
Write the names of a few trees you see around you and record the number of each type on your way from home to school in a table. (a) Which tree was found in the greatest number? (b) Which tree was found in the smallest number? (c) Were there any two trees found in the same numbers?
(2 marks)
Q8
Take a news item from a newspaper. Count the number of the letters c, e, i, r and x in its words and fill in the table. (a) The letter found the most number of times is ___. (b) The letter found the least number of times is ___. (c) List the five letters c, e, i, r, x in ascending order of frequency. Compare with your classmates. Why do you think this is the case?
(3 marks)
2
EXERCISE 4.2 · 6 QUESTIONS
Pictographs
Q9
The following pictograph shows the number of books borrowed by students in a week from the library of Middle School, Ginnori (1 symbol = 1 book; Monday to Saturday). (a) On which day were the minimum number of books borrowed? (b) What was the total number of books borrowed during the week? (c) On which day were the maximum number of books borrowed? What may be the possible reason?
(2 marks)
Q10
Magan Bhai sells kites at Jamnagar. The number of kites sold to six shopkeepers: Chaman 250, Rani 300, Rukhsana 100, Jasmeet 450, Jetha Lal 250, Poonam Ben 700. Prepare a pictograph using one symbol to represent 100 kites. (a) How many symbols represent the kites that Rani purchased? (b) Who purchased the maximum number of kites? (c) Who purchased more kites, Jasmeet or Chaman? (d) Rukhsana says Poonam Ben purchased more than double the number of kites that Rani purchased. Is she correct? Why?
(3 marks)
Q11
In a pictograph where one symbol represents 10 students and half a symbol represents 5 students, what could be the problems faced in preparing such a pictograph if the total number of students present in a class is 33 or 27?
(2 marks)
Q12
Class-wise attendance pictograph: (1) In Class 2, ___ students were absent that day. (2) In which class were the maximum number of students absent? (3) Which class had full attendance that day?
(2 marks)
Q13
How many total cars passed through the crossing between 6 a.m. and noon? (A pictograph of cars each hour.) Why do you think so little traffic occurred during 6–7 a.m., the traffic was heaviest between 7–8 a.m., and was lesser each hour after 8 a.m.?
(2 marks)
Q14
Imran's family spends the most on which item and the second most? Is the cost of electricity about one-half the cost of education? Is the cost of education less than one-fourth the cost of food? (Education = ₹800, food = ₹3400.)
(2 marks)
3
EXERCISE 4.3 · 11 QUESTIONS
Bar Graphs
Q15
Samantha collected data of the insects and critters she saw in a tea garden: Mites 6, Caterpillars 10, Beetles 5, Butterflies 3, Grasshoppers 2. Help her prepare a bar graph representing this data.
(3 marks)
Q16
Pooja collected data on tickets sold at the Bhopal railway station: Vidisha 24, Jabalpur 20, Seoni 16, Indore 28, Sagar 16. On her bar graph some part was erased. (a) Write the number of tickets for Vidisha above its bar. (b) Write the number for Jabalpur. (c) The bar for Vidisha is 6 unit lengths and Jabalpur 5 unit lengths. What is the scale? (d) Draw the correct bar for Sagar. (e) Add the scale on the vertical axis. (f) Are the bars for Seoni and Indore correct?
(3 marks)
Q17
Chinu listed the means of transport that passed across the road in front of his house from 9 a.m. to 10 a.m. (50 vehicles: bike, car, bus, auto rickshaw, bicycle, bullock cart, scooter). (a) Prepare a frequency distribution table for the data. (b) Which means of transport was used the most? (c) If you were there to collect this data, how could you do it? Write the steps.
(3 marks)
Q18
Roll a die 30 times and record the number you obtain each time. Prepare a frequency distribution table using tally marks. Find the number that appeared: (a) the minimum number of times (b) the maximum number of times (c) numbers that appeared an equal number of times.
(3 marks)
Q19
Faiz prepared a frequency table of the number of wickets taken by Jaspreet Bumrah in his last 30 matches: wickets 0, 1, 2, 3, 4, 5, 6, 7 with matches 2, 4, 6, 8, 3, 5, 1, 1. (a) What information is this table giving? (b) What may be the title? (c) What caught your attention? (d) In how many matches has Bumrah taken 4 wickets? (e) Mayank says we have to add the numbers 0, 1, 2, …, 7 to get the total wickets. Can Mayank get the total in this way? Why? (f) How would you correctly figure out the total number of wickets?
(5 marks)
Q20
The pictograph shows the number of tractors in five villages (1 symbol = 1 tractor). (a) Which village has the smallest number of tractors? (b) Which village has the most tractors? (c) How many more tractors does Village C have than Village B? (d) Komal says, 'Village D has half the number of tractors as Village E.' Is she right?
(2 marks)
Q21
The number of girl students in each class of a school is shown by a pictograph (1 symbol = 4 girls; Classes 1 to 8). (a) Which class has the least number of girl students? (b) What is the difference between the number of girls in Classes 5 and 6? (c) If two more girls were admitted in Class 2, how would the graph change? (d) How many girls are there in Class 7?
(2 marks)
Q22
The number of Mudhol dogs in six villages: A 18, B 36, C 12, D 48, E 18, F 24. Prepare a pictograph and answer: (a) What will be a useful scale or key? (b) How many symbols will you use for Village B? (c) Kamini says the number of dogs in Villages B and D together will be more than the number in the other 4 villages. Is she right?
(3 marks)
Q23
A survey of 120 school students about their preferred activity in free time: Playing 45, Reading story books 30, Watching TV 20, Listening to music 10, Painting 15. Draw a bar graph taking the scale of 1 unit length = 5 students. Which activity is preferred by most students other than playing?
(3 marks)
Q24
Saplings planted during the first week of July (bar graph, Monday to Sunday). (a) The total number of saplings planted on Wednesday and Thursday is ___. (b) The total number of saplings planted during the whole week is ___. (c) The greatest number of saplings were planted on ___ and the least on ___. Why do you think so?
(2 marks)
Q25
The number of tigers in India: 2006 – 1400, 2010 – 1700, 2014 – 2200, 2018 – 3000 (approx.). Shagufta and Divya prepared a bar graph (horizontal axis 0 to 4000) but there are a few mistakes in the graph. Find and fix them.
(2 marks)
4
EXERCISE 4.4 · 2 QUESTIONS
Choosing Graphs
Q26
If you wanted to visually represent the data of the heights of the tallest persons in each class in your school, would you use a graph with vertical bars or horizontal bars? Why?
(2 marks)
Q27
If you were making a table of the longest rivers on each continent and their lengths, would you prefer a bar graph with vertical bars or horizontal bars? Why? Which continents have the longest rivers?
(2 marks)