Data Handling and Presentation
Critique the use of a symbol representing 7 students in a pictograph. Justify your reasoning.
What is a pictograph?
The following tally marks represent the number of students who like different fruits:
Explain the purpose of using tally marks when organizing raw data.
Define 'data'.
Calculate the total number of students represented in a frequency table if the frequencies for different hobbies are: Reading - 12, Painting - 8, Gardening - 5, Dancing - 15.
Describe a situation from daily life, other than those mentioned in the text, where collecting data would be useful.
Examine the given bar graph showing the favorite subjects of Class 6 students. Identify the subject that is liked by exactly 25 students.
A pictograph shows the number of cars sold by a company in four different months. If one symbol of a car (🚗) represents 50 cars, calculate the number of cars sold in a month represented by 🚗🚗🚗🚗🚗.
The number of different types of trees in a park is shown in the bar graph below. Analyze the graph and answer the following: a) Which tree is the most numerous in the park? b) If Neem trees are 40 and Banyan trees are 60, how many more Banyan trees are there than Neem trees? c) What is the total number of Mango and Peepal trees if there are 50 Mango trees and 30 Peepal trees?
Name the type of graph that uses bars of uniform width to represent data.
The number of hours 15 students spent on homework in a day are: 2, 3, 1, 2, 4, 3, 2, 1, 2, 3, 4, 2, 1, 2, 3. Create a frequency distribution table using tally marks for this data. Justify why this table is a more useful representation than the raw list of numbers.
For displaying the exact number of goals scored by 5 different football teams in a tournament, justify whether a bar graph or a pictograph is a better choice.
The following pictograph shows the number of ice creams sold during a week. The key is: 🍦 = 10 ice creams. Analyze the pictograph and answer the questions. Monday: 🍦🍦🍦🍦 Tuesday: 🍦🍦🍦 Wednesday: 🍦🍦🍦🍦🍦 Thursday: 🍦🍦 Friday: 🍦🍦🍦🍦🍦🍦 a) On which day was the sale maximum? b) Calculate the difference in the number of ice creams sold on Friday and Tuesday.
An infographic shows the number of students who passed a certain exam over four years. It uses a graduation cap symbol for each year. The data is: 2020 (100 students), 2021 (200 students), 2022 (150 students), 2023 (300 students). The infographic designer made the 2021 cap twice as high and twice as wide as the 2020 cap. Critique this infographic by explaining how it is misleading. Propose and create a more accurate bar graph to represent the same data.
Identify what the 'scale' or 'key' in a pictograph explains.
Summarize the main difference between a pictograph and a bar graph.
What does a single tally mark symbol ( | ) represent?
A class of 30 students was asked about their favorite subject. The results are as follows: Math, Science, English, Math, Science, Math, History, English, Science, Math, English, Science, Math, History, Science, English, Math, Science, Science, Math, English, History, Math, Science, English, Math, Science, Math, English, Science. Describe the process of organizing this data into a frequency distribution table using tally marks. Then, list the frequency of each subject.
The results of a survey of 150 students on their favorite fruit are as follows: 50 chose Mango, 40 chose Apple, 25 chose Banana, and the rest chose Grapes. First, calculate the number of students who chose Grapes. Then, construct a bar graph to represent this data.
A pictograph uses the symbol ( \bigodot ) to represent 10 students. How would you represent 35 students using these symbols? Describe your representation.
The shoe sizes of 5 students are recorded as: 4, 6, 4, 5, 4. List the steps to create a frequency distribution table for this data.
Summarize the key features of a bar graph. Explain what each feature represents.
Examine the given data of the number of students in different clubs in a school: Music-60, Sports-90, Art-75, Science-45. If you were to create a pictograph where one symbol represents 15 students, how many symbols would you need for the Sports club?
A survey was conducted on the number of pets owned by 20 families. The data is: 1, 2, 0, 1, 3, 2, 1, 1, 0, 2, 4, 1, 2, 2, 0, 1, 3, 1, 2, 0. Organize this data in a frequency distribution table using tally marks.
The number of storybooks read by Rohan in the first six months of the year are: Jan-12, Feb-8, Mar-15, Apr-10, May-18, Jun-5. Represent this data in a bar graph. Choose an appropriate scale and label the graph completely.
The temperature (in degrees Celsius) of a city was recorded for a week: 28, 30, 29, 32, 31, 33, 30. Calculate the total temperature reading for the week and organize the data in a frequency table.
Propose a suitable title for a bar graph that shows the number of students in a class whose favourite colours are red, blue, green, and yellow.
Formulate a specific question you could ask your classmates to investigate the most common type of pet owned by students in your class. The question should be designed for easy data collection.
Design a pictograph to represent the number of fruit trees in an orchard: Apples (40), Oranges (60), Mangoes (35), Guavas (20). Justify your choice of symbol and scale.
Critique the bar graph described below, which shows the weekly pocket money of four children. Identify at least two errors in its design and propose specific corrections.
Description: The vertical axis (Pocket Money in ₹) is marked 0, 10, 20, 50, 100. The bars for Ram (₹40) and Sita (₹80) are touching each other, while the bar for Gita (₹60) is much wider than the others.
Formulate a step-by-step plan to collect and present data on the time it takes for students in your class to travel to school. Justify your choice of data presentation.
Design a complete survey project to determine the favourite after-school activity among 50 students. Your design must include the survey question, a method for recording data, the creation of a frequency table for a hypothetical dataset, and the creation of a bar graph. Justify your choice of graph and scale.
The weekly pocket money of five friends is ₹80, ₹100, ₹60, ₹120, and ₹90. Demonstrate this data using a bar graph. Use a scale of 1 unit length = ₹20.
A bar graph shows the runs scored by a cricket team in the first 5 overs. The runs are 6, 14, 8, 18, 10. If the scale used is 1 unit = 2 runs, calculate the height of the bar for the 4th over.
Explain why choosing an appropriate scale is important when drawing a bar graph.
A company's profits for four consecutive years were: Year 1 (₹40,000), Year 2 (₹65,000), Year 3 (₹50,000), Year 4 (₹80,000). Propose two different visual representations for this data: a pictograph and a bar graph. Create both and critique which one is more effective for an official annual report to shareholders.
A shopkeeper's sales of shirts for 6 days are given: Monday-30, Tuesday-45, Wednesday-25, Thursday-50, Friday-60, Saturday-75. Create a pictograph for this data. Choose a suitable symbol and key. Analyze your pictograph to find the total sales for the last three days.
Evaluate the claim: "A tally chart is always the most efficient method for recording data as it is being collected." Justify your answer.
Compare the performance of two students, Amit and Priya, in five subjects using the data below. Draw a double bar graph to represent the data and analyze who performed better overall.
| Subject | Amit's Marks | Priya's Marks |
|---|---|---|
| English | 70 | 80 |
| Math | 85 | 75 |
| Science | 90 | 95 |
| History | 60 | 65 |
| Art | 75 | 75 |
The attendance of a class of 40 students for a week is as follows: Monday-38, Tuesday-35, Wednesday-30, Thursday-38, Friday-32. Calculate the number of students absent each day and represent the absentee data using a bar graph.
Formulate a research plan to investigate a possible relationship between a student's favourite school subject and their preferred type of book to read. Design a data collection table for a class of 30 students, create a hypothetical but realistic dataset, and propose a method to organize and present this data to evaluate if a pattern exists. Justify your presentation choice.
The number of cars sold by a showroom in the first four months of a year are: January - 50, February - 30, March - 60, April - 40. Explain the steps you would take to represent this data using a bar graph. Identify a suitable scale for the vertical axis. You do not need to draw the graph.
A school wants to create a bar graph showing its student population for the years 2020 (450 students), 2021 (500 students), 2022 (525 students), and 2023 (600 students). Evaluate the two proposed scales for the vertical axis: (A) 1 unit length = 10 students, (B) 1 unit length = 100 students. Justify which scale is more appropriate.
Create a bar graph for the following data on the length of different rivers in India (approximate): Ganga (2500 km), Godavari (1500 km), Krishna (1400 km), Yamuna (1350 km). Justify your decision to use horizontal bars for this representation.