For each of the following scenarios, complete the frequency table for the results:
Mr. Rodriguez recorded the number of pets owned by each of the students in his class. He found that 15 people had no pets, 19 people had one pet, 3 people had two pets and 8 people had three pets.
| Number of Pets | ||||
|---|---|---|---|---|
| Frequency |
Katrina asked 34 people to choose their favourite fruit. 10 people picked apples, 15 people picked bananas, 6 people picked grapes and 3 people picked pears.
| Fruit | ||||
|---|---|---|---|---|
| Frequency |
Ben asked 35 people about how many siblings they have. He found that 12 people had no siblings, 15 people had one sibling, 3 people had two siblings and 5 people had three siblings.
| Number of Siblings | ||||
|---|---|---|---|---|
| Frequency |
Bob asked 41 of his students to choose their favourite toy. 7 students picked cars, 13 people picked planes, 6 people picked balls and 15 people picked video games.
| Toy | ||||
|---|---|---|---|---|
| Frequency |
Noah asked his students to choose their favourite method of travelling. 9 students picked car, 13 people picked plane, and 5 people picked boat.
| Mode of Transport | |||
|---|---|---|---|
| Frequency |
For each of the following data, complete the frequency table for the results:
Vincent asked 9 of his friends which pet they would like. Their responses were as follows:
\text{cat},\, \text{dog},\, \text{cat},\, \text{dog},\, \text{fish},\, \text{dog},\, \text{fish},\, \text{cat},\, \text{dog}| Animal | \text{Cat} | \text{Dog} | \text{Fish} |
|---|---|---|---|
| Number of Friends |
Rosey asked 15 of her friends what their favourite colour is. Their responses were as follows:
\text{pink},\, \text{blue},\, \text{yellow},\, \text{blue},\, \text{green},\, \text{pink},\, \text{blue},\, \text{blue},\, \\ \text{blue},\, \text{pink},\, \text{pink},\, \text{blue},\, \text{green},\, \text{pink},\, \text{blue}
| Colour | \text{Pink} | \text{Green} | \text{Blue} | \text{Yellow} |
|---|---|---|---|---|
| Number of friends |
Mrs. Brown asked her students how many bedrooms they have in their house. Their responses were as follows:
4,\, 4,\, 4,\, 3,\, 4,\, 3,\, 3,\, 5,\, 5,\, 4,\, 4,\, 3,\, 3,\, 4,\, 4,\, 4,\, 3,\, 4,\, 5,\, 4
| Number of Bedrooms | 3 | 4 | 5 |
|---|---|---|---|
| Number of Students |
Mr. Smith asked his students how many siblings they have. Their responses were as follows:
1,\, 1,\, 1,\, 2,\, 2,\, 1,\, 0,\, 3,\, 0,\, 1,\, 2,\, 1,\, 1,\, 2,\, 2,\, 3,\, 1,\, 2,\, 3,\, 3,\, 1,\, 2,\, 2,\, 1,\, 2
| Number of Siblings | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Number of Students |
Monica asked 30 people to choose their favourite type of movie. 10 people chose Action, 14 people chose Comedy and 6 people chose Documentary.
This information is given in the frequency table. State the correct type of movie categories for A, B, and C.
| \text{Type of Movie} | A | B | C |
|---|---|---|---|
| \text{Frequency} | 10 | 14 | 6 |
For each of the following scenarios, state what categories A, B, C and D represent in the corresponding frequency tables:
Sophia asked 28 of her students to pick their favourite sport. 8 picked Football, 15 picked Volleyball, 5 picked Basketball, and 5 picked Tennis.
| \text{Sport} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 8 | 15 | 5 | 5 |
Rochelle asked her students how they spent their weekend. 6 said Fun Park, 11 said Beach, 10 said Camping and 13 said Skiing.
| \text{Activity} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 11 | 13 | 6 | 10 |
Hannah interviewed 29 people about how they get to school. 13 go by Bicycle, 12 go by Car, 8 go by Bus and 9 go by Train.
| \text{Transport} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 8 | 12 | 9 | 13 |
Mr. Smith asked his 28 students about what they want to be when they grow up. 6 wanted to be a civil engineer, 10 wanted to be a doctor, 12 wanted to be a teacher, and 14 wanted to be a politician.
| \text{Job} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 10 | 12 | 6 | 14 |
Judy rolled a die 29 times. She recorded the results in the following frequency table:
Which number was rolled the most?
Which number was not rolled at all?
Which number was rolled 6 times??
How many times was the number 4 rolled?
| Number rolled | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Frequency | 6 | 3 | 0 | 7 | 4 | 9 |
Mario asks his friends which subject they like the best at school. He recorded the results in the following frequency table:
How many friends did Mario ask?
Which subject do Mario's friends like the best?
Which subject do Mario's friends like the least?
| Subject | \text{Science} | \text{Maths} | \text{Art} |
|---|---|---|---|
| Number of Friends | 7 | 4 | 1 |
Ellie asks her friends what they like to eat when they go out. She recorded the results in the following frequency table:
How many friends did Ellie ask?
Which food do Ellie's friends like the least?
Which food do Ellie's friends like the least?
How many of Ellie's friends like tacos?
How many of Ellie's friends did not choose ice cream?
| Food | Number of Friends |
|---|---|
| \text{Hamburger} | 3 |
| \text{Taco} | 4 |
| \text{Ice cream} | 11 |
| \text{Kebab} | 2 |
Charlie asks his friends how much money the received from the Tooth Fairy last time they lost a tooth. He recorded the results in the following frequency table:
How many friends did Charlie ask?
Which amount do most of Charlie's friends receive from the Tooth Fairy?
| Amount | \$0.50 | \$1.00 | \$2.00 |
|---|---|---|---|
| Number of Friends | 6 | 16 | 3 |
Caitlin asks her friends how many words they spelled wrong in the latest Spelling Test. She recorded the results in the following table:
How many friends did Caitlin ask?
How many friends made three or more mistakes?
What was the least common number of mispelled words?
| Number of Mispelled Words | 0 | 1 | 2 | 3 | \gt 3 |
|---|---|---|---|---|---|
| Number of Friends | 1 | 7 | 11 | 8 | \enspace 3 \quad |
A gymnast received the following scores over several rounds of back to back competition:
Given that she received these scores over 15 rounds of competition, find the value of A.
State the percentage of rounds for which the gymnast received a score of 8. Round your answer to two decimal places.
State the percentage of rounds the gymnast received a score less than 7. Round your answer to two decimal places.
| Score | Frequency |
|---|---|
| 5 | 4 |
| 6 | 1 |
| 7 | 4 |
| 8 | A |
| 9 | 2 |
A survey was conducted which asked 30 people how many books they had read in the past month. Based on the frequency table provided, state whether the following statements are true or false:
11 people have read between 6 and 10 books in the past month.
28 people have read at most 15 books in the past month.
We cannot determine from the table how many people have read exactly 12 books.
We can determine that 2 people have read exactly 5 books in the past month.
| Number of books read | Frequency |
|---|---|
| 1-5 | 2 |
| 6-10 | 11 |
| 11-15 | 15 |
| 16-20 | 2 |
The set of marks for a class of students is given below:
81,\quad 81,\quad 71,\quad 81,\quad 81,\quad 61,\quad 71,\quad 93,\quad 71,\quad 58,\quad 71,\\ 58,\quad 61,\quad 93,\quad 93,\quad 71,\quad 61,\quad 61,\quad 81,\quad 58,\quad 93
Organise the data into a frequency table.
Find the total number of students in the class.
Find the number of students who will get a Distinction grade \left( 80 \lt \text{Score} \leq 90 \right).
Find the number of students who will get a High Distinction grade \left( \text{Score} \gt 90 \right).
Find the percentage of students obtaining a High Distinction grade. Round your answer to two decimal places.
The set of marks for a class of students is given below:
92,\quad 58,\quad 69,\quad 58,\quad 58,\quad 81,\quad 58,\quad 76,\quad 76,\quad 76
Complete the frequency table below that represents the data.
| Score | 58 | 69 | 76 | 81 | 92 |
|---|---|---|---|---|---|
| Frequency |
Find the total number of students in the class.
Find the number of students who will get a Distinction grade \left( 80 \lt \text{score} \leq 90 \right).
Find the number of students who will get a High Distinction grade \left( \text{Score} \gt 90 \right).
Find the percentage of students obtaining a High Distinction grade. Round your answer to two decimal places.
Some people were asked approximately how many of their high school friends they remained in contact with after high school. The results were given below:
40,\quad 0,\quad 40,\quad 30,\quad 20,\quad 0,\quad 40,\quad 10,\quad 0,\quad 20,\quad 10,\quad 30,\quad 40, \quad 40,\\ \quad 0, \quad 20,\quad 10,\quad 30,\quad 30,\quad 40,\quad 40,\quad 10,\quad 40,\quad 30,\quad 30,\quad 30,\quad 20,\quad 20, \\ \quad 10,\quad 40,\quad 0,\quad 40,\quad 10,\quad 30,\quad 20,\quad 40,\quad 10,\quad 10,\quad 40,\quad 10,\quad 40,\quad 20
Organise the data into a frequency table.
Find the total number of people surveyed.
Find the number of people who kept in touch with 30 friends.
Find the percentage of people who kept in touch with less than 40 friends. Round your answer to two decimal places.
Using class intervals of 10 \to 19, 20 \to 29, \cdots , construct grouped frequency tables for the following sets of data:
46,\quad 54,\quad 35,\quad 23,\quad 24,\quad 28,\quad 26,\quad 11,\quad 19,\quad 17,\quad 32
83,\quad 68,\quad 39,\quad 42,\quad 86,\quad 66,\quad 64,\quad 76,\quad 63,\quad 43,\quad 65,\quad 83,\quad 63,\quad \\ 67,\quad 49,\quad 51,\quad 32,\quad 55,\quad 38,\quad 65,\quad 41,\quad 73,\quad 35,\quad 36,\quad 74
Consider the following set of scores:
12,\quad 59,\quad 61,\quad 27,\quad 58,\quad 18,\quad 76,\quad 27,\quad 52,\quad 19,\quad 13,\quad 56,\quad 71,\quad 31,\quad 73, \\ 60,\quad 41,\quad 17,\quad 22,\quad 68,\quad 57,\quad 15,\quad 40,\quad 19,\quad 76,\quad 44,\quad 60,\quad 55,\quad 36
Determine the set of seven class intervals that should be used to analyse this data.
Hence construct a grouped frequency table for the data.
Consider the following set of scores:
30,\quad 67,\quad 24,\quad 51,\quad 49,\quad 53,\quad 36,\quad 24,\quad 57,\quad 66,\quad 26
Construct a grouped frequency table for the data.
A die is rolled and the number of times it landed on the digits 1-6 is recorded in the given table:
Create a column graph using the information from the table.
Find the most frequent die roll.
How many more 4's were rolled than 2's?
Find the least frequent die roll.
| Die Number | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Number of Rolls | 6 | 4 | 1 | 8 | 5 | 7 |
Jimmy reaches into a ball pit filled with blue, red, yellow and green balls and pulls some out. The number of balls of each colour he gathered is recorded in the following table:
Create a column graph using the information from the table.
Which colour had the highest number of balls removed from the pit?
How many balls were collected in total?
How many yellow balls were pulled out?
| Colour | \text{Blue} | \text{Red} | \text{Yellow} | \text{Green} |
|---|---|---|---|---|
| Number of Balls | 3 | 6 | 4 | 2 |
Fiona looked in her wardrobe and counted the amount of each type of clothing she had. The results are displayed in the following frequency table:
Create a column graph using the information from the table.
Fiona has 7 of which types of clothes?
How many items of clothing does Fiona have in total?
What type of clothing does Fiona have the most of?
| Type of Clothing | Frequency |
|---|---|
| \text{Shirts} | 8 |
| \text{Shorts} | 7 |
| \text{Pants} | 7 |
| \text{Pairs of Socks} | 4 |
| \text{Hats} | 1 |
In product testing, the number of faults detected in producing a certain machinery is recorded each day for several days. The results are in the given frequency table:
Create a column graph to represent the data.
What is the lowest possible number of faults that could have been recorded on any particular day?
| Number of faults | Frequency |
|---|---|
| 0-3 | 10 |
| 4-7 | 14 |
| 8-11 | 20 |
| 12-15 | 16 |
Amelia is looking at the cookbooks on the shelf at her grandparent's house. She counts how many there are of each type and put the results in the given table.
Amelia wants to draw a column graph of this information.
How many columns will she need to draw?
Create a column graph that matches the information from the table.
| Type of Cookbook | Number of Cookbooks |
|---|---|
| \text{Baking} | 2 |
| \text{Italian} | 3 |
| \text{Quick Meals} | 2 |
| \text{Gourmet} | 4 |
Lucy asks her friends how many cats they have at home. She puts all the information in the following table:
If Lucy wants to draw a column graph of this information, how many columns will she need to draw?
Create a column graph for the table of information.
| Number of Cats | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Number of Friends | 5 | 2 | 2 | 1 |
Glen wants to put the information from the following column graph into a table:
Complete the following frequency table to match the information in the column graph.
| Sport | Number of People |
|---|---|
| \text{Cricket} | |
| \text{Basketball} | |
| \text{Soccer} | |
| \text{Tennis} | |
| \text{Netball} |
Tobias wants to put the information from the following column graph into a table:
Complete the following frequency table to match the information in the column graph.
| Number of Hours | Number of People |
|---|---|
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 |
Consider the column graph showing the type of fruit each student in a class brought in for lunch yesterday:
Which is the most common fruit?
How many more mandarins were brought than pineapples?
Construct a frequency table that matches the information in the column graph.
Consider the column graph showing the favourite sports of the children in a class:
Which is the most popular sport?
How many more children chose tennis than cricket?
Complete the following frequency table to match the information in the column graph.
| Sport | Number |
|---|---|
| \text{Tennis} | |
| \text{Squash} | |
| \text{Cricket} | |
| \text{Soccer} | |
| \text{Other} |
How many children are in the class?
Consider the column graph showing the pets that the children in a class have:
Which is the least popular pet?
Complete the following frequency table to match the information in the column graph.
| Animal | Number |
|---|---|
| \text{Dog} | |
| \text{Snake} | |
| \text{Crab} | |
| \text{Cat} | |
| \text{Turtle} |
How many more snakes does the class have than crabs?
How many pets does the class have in total?
The following graph shows the birthdays of a group of one hundred people, categorised by season.
Construct a frequency table with a Total row that matches the following graph.
Construct a frequency table for the following column graphs:
For each of the following scenarios:
Construct a frequency table of the results.
Create a column graph that represents the information in the frequency table.
Sandy asked 12 of her friends where they went on holiday last year. Their responses were as follows:\text{beach},\, \text{camping},\, \text{caravan},\, \text{beach},\, \text{snow},\, \text{caravan},\, \text{caravan},\, \\ \text{camping},\, \text{beach},\, \text{beach},\, \text{caravan},\, \text{caravan}
In a survey, 20 people were asked how many languages they spoke. Their responses were as follows:1,\, 1,\, 1,\, 2,\, 3,\, 2,\, 3,\, 1,\, 1,\, 1,\, 2,\, 2,\, 1,\, 1,\, 1,\, 3,\, 1,\, 1,\, 1,\, 1