📝 PM Review: Data Handling

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Question 1 Difficulty 1
What is data?
  • A A type of fruit
  • B A collection of facts and numbers
  • C A game
  • D A color
💡 Explanation Data refers to facts and numbers collected for reference or analysis.
Question 2 Difficulty 1
Which of the following is an example of data?
  • A Red color
  • B 25 students
  • C A tree
  • D Happiness
💡 Explanation 25 students is a numerical fact, which is a form of data.
Question 3 Difficulty 1
What type of graph would you use to show favorite fruits?
  • A Line graph
  • B Bar graph
  • C Pie chart
  • D Histogram
💡 Explanation A pie chart is ideal for showing parts of a whole, like favorite fruits.
Question 4 Difficulty 1
If 10 students have 3 pets each, how many pets do they have in total?
  • A 20
  • B 30
  • C 10
  • D 40
💡 Explanation Total pets = Number of students × Pets per student = 10 × 3 = 30.
Question 5 Difficulty 1
What is a bar graph used for?
  • A Showing time
  • B Showing parts of a whole
  • C Comparing quantities
  • D None of the above
💡 Explanation A bar graph is used to compare different quantities.
Question 6 Difficulty 1
Which is NOT a type of graph?
  • A Bar graph
  • B Pie chart
  • C Triangle graph
  • D Line graph
💡 Explanation There is no such thing as a triangle graph; the others are valid types of graphs.
Question 7 Difficulty 1
If a student surveys 5 friends and 3 like cricket, what fraction like cricket?
  • A 1/5
  • B 3/5
  • C 1/3
  • D 2/5
💡 Explanation 3 out of 5 friends like cricket, so the fraction is 3/5.
Question 8 Difficulty 1
What is the first step in creating a bar graph?
  • A Draw the bars
  • B Collect data
  • C Label the axes
  • D Give it a title
💡 Explanation The first step is to collect the data you want to represent.
Question 9 Difficulty 1
What does probability tell us?
  • A The future
  • B How likely something is to happen
  • C The past
  • D A color
💡 Explanation Probability measures how likely an event is to occur.
Question 10 Difficulty 1
Which of the following represents a whole?
  • A 1/2
  • B 1/4
  • C 1
  • D 2/3
💡 Explanation 1 represents a whole entity or complete quantity.
Question 11 Difficulty 2
If 12 students choose between 3 colors and 4 choose red, how many did not choose red?
  • A 8
  • B 4
  • C 12
  • D 10
💡 Explanation Total students - Students who chose red = 12 - 4 = 8.
Question 12 Difficulty 2
What type of graph would best show the number of students in each class?
  • A Pie chart
  • B Line graph
  • C Bar graph
  • D Scatter plot
💡 Explanation A bar graph is best for comparing the number of students in different classes.
Question 13 Difficulty 2
If a pie chart shows that 25% of students prefer cricket, how many students prefer it from 40 total?
  • A 10
  • B 15
  • C 25
  • D 5
💡 Explanation 25% of 40 is calculated as (25/100) * 40 = 10.
Question 14 Difficulty 2
If a bar graph shows 5 students read 2 books, how many books in total?
  • A 5
  • B 10
  • C 2
  • D 7
💡 Explanation Total books = Number of students × Books per student = 5 × 2 = 10.
Question 15 Difficulty 2
A class survey shows 60% prefer math. If there are 30 students, how many prefer math?
  • A 18
  • B 12
  • C 20
  • D 25
💡 Explanation 60% of 30 = (60/100) * 30 = 18.
Question 16 Difficulty 2
Which graph is best to compare favorite sports of students?
  • A Line graph
  • B Bar graph
  • C Table
  • D None of the above
💡 Explanation A bar graph effectively compares the quantities of different categories.
Question 17 Difficulty 2
If 8 students like mango, 7 like banana, and 5 like apple, which is the most liked?
  • A Mango
  • B Banana
  • C Apple
  • D All are equal
💡 Explanation Mango is the most liked fruit with 8 votes.
Question 18 Difficulty 2
In a class of 20, if 15 students like cricket, what is the probability of a student liking cricket?
  • A 3/4
  • B 1/2
  • C 1/5
  • D 1/4
💡 Explanation Probability = Number of favorable outcomes / Total outcomes = 15/20 = 3/4.
Question 19 Difficulty 2
What is the total number of students if 10 students prefer chocolate and 5 prefer vanilla?
  • A 10
  • B 15
  • C 20
  • D 25
💡 Explanation Total students = Students preferring chocolate + Students preferring vanilla = 10 + 5 = 15.
Question 20 Difficulty 2
If a survey shows 70% of students have pets and there are 50 students, how many have pets?
  • A 35
  • B 40
  • C 30
  • D 45
💡 Explanation 70% of 50 = (70/100) * 50 = 35.
Question 21 Difficulty 3
In a survey of 50 students, 20 like football, 15 like cricket, and the rest like basketball. How many like basketball?
  • A 15
  • B 20
  • C 10
  • D 5
💡 Explanation Total students - (Football + Cricket) = 50 - (20 + 15) = 15.
Question 22 Difficulty 3
Which graph would best display the number of hours spent on homework by students?
  • A Pie chart
  • B Histogram
  • C Bar graph
  • D Line graph
💡 Explanation A bar graph can effectively show the number of hours each student spends.
Question 23 Difficulty 3
If a pie chart shows 50% like sweets, how many students prefer sweets in a class of 40?
  • A 20
  • B 15
  • C 25
  • D 10
💡 Explanation 50% of 40 = (50/100) * 40 = 20.
Question 24 Difficulty 3
If 10 students read 3 books each, how many books did they read in total?
  • A 30
  • B 20
  • C 40
  • D 10
💡 Explanation Total books = Number of students × Books per student = 10 × 3 = 30.
Question 25 Difficulty 3
In a class, 12 students like cricket, 18 like football, and 10 like basketball. What fraction prefers cricket?
  • A 1/3
  • B 2/5
  • C 3/5
  • D 1/4
💡 Explanation Fraction = Students liking cricket / Total students = 12/(12+18+10) = 12/40 = 3/10.
Question 26 Difficulty 3
If a survey shows that out of 60 students, 25 prefer action movies, what percentage prefer action movies?
  • A 25%
  • B 50%
  • C 40%
  • D 60%
💡 Explanation Percentage = (25/60) * 100 = 41.67% which rounds to 40%.
Question 27 Difficulty 3
What is the probability of rolling a 6 on a fair die?
  • A 1/2
  • B 1/6
  • C 1/3
  • D 1/4
💡 Explanation There are 6 faces on a die, so the probability of rolling a 6 is 1 out of 6.
Question 28 Difficulty 3
If 30% of a class of 50 students got an A grade, how many students is that?
  • A 15
  • B 10
  • C 20
  • D 25
💡 Explanation 30% of 50 = (30/100) * 50 = 15.
Question 29 Difficulty 3
Which type of graph would best represent the number of students in different grades?
  • A Pie chart
  • B Line graph
  • C Bar graph
  • D Table
💡 Explanation A bar graph effectively compares the number of students in different grades.
Question 30 Difficulty 3
In a survey of 40 students, if 30 like chocolate, what is the probability that a randomly chosen student likes chocolate?
  • A 1/4
  • B 3/4
  • C 1/2
  • D 1/5
💡 Explanation Probability = Favorable outcomes / Total outcomes = 30/40 = 3/4.
Question 31 Difficulty 4
In a survey of 60 students, if 25% like cricket, how many do not like cricket?
  • A 45
  • B 30
  • C 15
  • D 20
💡 Explanation 25% of 60 = 15 like cricket. So, 60 - 15 = 45 do not like cricket.
Question 32 Difficulty 4
If a class of 30 students has 10 who prefer soccer, what is the ratio of students who do not prefer soccer?
  • A 2:1
  • B 3:1
  • C 5:1
  • D 4:1
💡 Explanation 20 students do not prefer soccer, so the ratio is 20:10 = 2:1.
Question 33 Difficulty 4
If 75% of students prefer a certain brand of chips in a class of 80, how many students do not prefer that brand?
  • A 20
  • B 15
  • C 25
  • D 30
💡 Explanation 75% of 80 = 60 prefer it, so 80 - 60 = 20 do not.
Question 34 Difficulty 4
In a survey of 100 people, if 40% prefer tea, how many prefer coffee if the rest do?
  • A 60
  • B 40
  • C 50
  • D 70
💡 Explanation If 40 prefer tea, then 60 prefer coffee, since the rest do.
Question 35 Difficulty 4
If a survey indicates that 3 out of 5 students prefer online classes, what percentage does that represent?
  • A 60%
  • B 50%
  • C 40%
  • D 30%
💡 Explanation 3 out of 5 is (3/5) * 100 = 60%.
Question 36 Difficulty 4
In a class of 50, if 10 students prefer action movies and the rest prefer drama, what fraction prefers action?
  • A 1/5
  • B 1/4
  • C 1/2
  • D 1/10
💡 Explanation Fraction = Students preferring action / Total students = 10/50 = 1/5.
Question 37 Difficulty 4
If 20% of a class of 25 students are absent, how many are present?
  • A 20
  • B 25
  • C 15
  • D 10
💡 Explanation 20% of 25 = 5 absent, so 25 - 5 = 20 present.
Question 38 Difficulty 4
In a survey, if 45% of students prefer summer vacations, how many prefer winter vacations in a class of 100?
  • A 55
  • B 45
  • C 50
  • D 60
💡 Explanation If 45% prefer summer, then 100 - 45 = 55 prefer winter.
Question 39 Difficulty 4
If a pie chart shows that 70% of students prefer music, how many in a class of 30 prefer music?
  • A 20
  • B 15
  • C 25
  • D 10
💡 Explanation 70% of 30 = (70/100) * 30 = 21, so approximately 20 students prefer music.
Question 40 Difficulty 4
If a student surveys 50 friends and 30 like pizza, what is the ratio of friends who do not like pizza?
  • A 2:5
  • B 3:5
  • C 1:2
  • D 5:3
💡 Explanation 20 do not like pizza, so the ratio is 20:30 = 2:3.
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