Determine whether the following classify as numerical or non-numerical data:
Favourite flavours
Maximum temperature
Daily temperature
Types of horses
Amount owing on layby
Types of vegetables
Brands of tablets
Types of folders
Daily UV index
Maximum rainfall
Favorite colours
Colours of folders
Brands of phones
Determine whether the following classify as categorical or non-categorical data:
Maximum snowfall
Daily UV index
Types of dogs
Favorite colours
Amount owing on a purchase
Brands of phones
Types of fruits
Colours of folders
For each of these numerical data types, identify whether they are discrete or continuous:
Number of classrooms at a school
Daily humidity
The ages of a group of people
The time taken to run 200 metres
Lengths of cats' whiskers
The distance from Earth to Mars
How long it takes to fall asleep
Amount paid for walking the dog
The number of people taller than you
The top speed of different motorcycles
The size a coin collection
The amount of soda you drink in a day
The best time for solving a Rubik's cube
The hourly pay rate for a particular job
Number of views of a YouTube channel
The snowfall in your city
Number of children in your sports team
The strength of an earthquake
Amount of money owing on a mortgage
Your marks in a Physics test
State whether the following are nominal or ordinal data:
Eye colour
Your birthdate
Temperature
Favourite song
State/territory of birth
Year level
Speed of light
Position in a queue
Classify the following data into the following categories:
- Numerical Discrete
- Numerical Continuous
- Categorical Ordinal
- Categorical Nominal
Population of your town
Heights of people at a carnival
Weights of dogs
The languages spoken in your class
For the following surveys, state whether the data found should be grouped or ungrouped when constructing a frequency table:
A survey conducted of 1000 people, asking them how many languages they speak.
A survey conducted of 1000 people, asking them how many different countries they know the names of.
Find the class centre for the class interval: 27 - 40.
In a survey some people were asked approximately how many minutes they take to decide between brands of a particular product. The results were are shown in the table below:
How many people took part in the survey?
What proportion of people surveyed took 1 minute to make a decision?
| Minutes Taken | Frequency |
|---|---|
| 1 | 13 |
| 2 | 17 |
| 3 | 12 |
The set of marks for a class of students is given below:
92, 58, 69, 58, 58, 81, 58, 76, 76, 76
Organise the data into a frequency table.
How many students are there in the class?
How many students will get a Distinction grade (80 \lt \text{score} \leq 90)?
How many students will get a High Distinction grade (scores above 90)?
What is the percentage of students obtaining a High Distinction grade? Round your answer to two decimal places.
As part of a fuel watch initiative, the price of petrol at a service station was recorded each day for 21 days. The frequency table shows the results:
What was the highest price that could have been recorded?
How many days was the price above 140.9 cents?
| Price (cents per Litre) | Class Centre | Frequency |
|---|---|---|
| 130.9 - 135.9 | 133.4 | 6 |
| 135.9 - 140.9 | 138.4 | 5 |
| 140.9 - 145.9 | 143.4 | 5 |
| 145.9 - 150.9 | 148.4 | 5 |
The following frequency table below shows the resting heart rate of some people taking part in a study:
Complete the table.
How many people took part in the study?
How many people had a resting heart rate between 55 and 74?
How many people had a resting heart rate of below 65?
| Heart Rate | Class Centre | Frequency |
|---|---|---|
| 45-54 | 15 | |
| 55-64 | 25 | |
| 65-74 | 26 | |
| 75-84 | 30 |
In product testing, the number of faults detected in producing a certain machinery is recorded each day for several days. The frequency table shows the results:
Construct a histogram 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 |
Complete a frequency table for the histogram shown:
The histogram below shows the length of a number of phone calls made by Daniel:
Complete a frequency table for the histogram.
Find the total number of minutes Daniel spent on phone calls.
If Daniel received 123 minutes of free calls, and was then charged \$1.00 per minute for any further calls, how much was he charged for these phone calls?
Construct a histogram to represent the following data:
46, 47, 48, 48, 48, 47, 50, 47, 48, 50, 47, 46, 49, 49, 50, 49
47, 46, 50, 48, 51, 51, 50, 50, 47, 49, 48, 51, 49, 50, 51, 48
The amount of snowfall (in centimetres) is recorded at the base of the mountain each day:
6, \, 2, \, 0, \, 3, \, 2, \, 2, \, 3, \, 4, \, 2, \, 0, \, 3, \, 2, \, 3, \, 4, \, 6, \, 4, \, 3, \, 0, \, 5, \, 3
Construct a frequency histogram for the data.
On how many days did 3 centimetres of snow fall?
On how many days did at least 4 centimetres of snow fall?
An amusement park recorded the number of people that visited during a week of the school holidays and displayed the data in the column graph shown:
On what day did Adventure Land have the most visitors?
How many more visitors were there on Thursday than Sunday?
On what day did Adventure Land have 220 visitors?
In a survey some people were asked approximately how many minutes they take to decide between brands of a particular product. The results are shown in the following table:
How many people took part in the survey?
How much time did most people take to choose between brands?
Create a column graph for the results from the table.
| Minutes Taken | Frequency |
|---|---|
| 1 | 13 |
| 2 | 17 |
| 3 | 12 |
Miss Yen recorded her students' favourite pets in the column graph below:
Which type of pet is most popular?
Which type of pet is least popular?
How many students picked a Fish as their favourite pet?
How many students were surveyed in total?
Lucy counted the number of carrots she harvested from her garden over a few months and recorded the data in the table:
Construct a column graph for the data.
Which months did Lucy harvest the same number of carrots?
| Month | Carrots |
|---|---|
| 1 | 55 |
| 2 | 58 |
| 3 | 56 |
| 4 | 72 |
| 5 | 65 |
| 6 | 61 |
| 7 | 72 |
| 8 | 70 |
The sales of different products are shown in the following horizontal bar graph:
Which is the best-selling product?
How many units of all products were sold in total?
If product B was sold at \$50 each, find the revenue generated by product B alone.
For a dot plot, describe how we determine the frequency of each score.
Construct a dot plot that represents the following data:
49, 49, 49, 51, 48, 47, 50, 49, 51, 50, 51, 49, 52, 47, 50, 49
51, 48, 51, 51, 50, 48, 49, 52, 49, 47, 47, 52, 52, 49, 47, 48
52, 48, 51, 51, 49, 52, 48, 48, 52, 50, 48, 47, 52, 52, 52, 48
The goals scored by a football team in their matches are represented in the following dot plot:
Complete a frequency table for this data.
Consider the following dot plot showing students scores:
Complete a frequency table for this data.
How many students scored above 20?
How many students scored below 30?
Sophia is a casual nurse. She used a dot plot to keep track of the number of shifts she did each week for a number of weeks:
In this dot plot, what does each dot represent?
What was the most frequently occurring number of shifts per week?
Christa is a casual nurse. She used a dot plot to keep track of the number of shifts she did each week for a number of weeks:
Over how many weeks did Christa record her shifts?
For how many weeks did she work 5 shifts?
How many weeks did she work less than 6 shifts?
If Christa works at least 6 shifts a week, she buys a weekly train ticket. What proportion of the time did she buy a weekly train ticket?
Construct a stem and leaf plot that represents the data given below:
24,\, 26,\, 25,\, 37,\, 36,\, 37,\, 37,\, 38,\, 41,\, 46,\, 49,\, 56,\, 67,\, 63,\, 67,\, 68,\, 69,\, 75,\, 80,\, 80
Complete a frequency table for the data in the following stem and leaf plot:
| Leaf | |
|---|---|
| 1 | 1\ 2\ 3\ 7 |
| 2 | 3\ 4\ 7\ 7\ 7\ 9 |
| 3 | 2\ 7\ 9 |
| 4 | 0\ 1\ 1\ 5\ 6 |
| 5 | 2\ 6 |
Key: 1 \vert 2 = 12
The scores for a recent spelling test are shown in the stem and leaf plot. The scores are out of 100.
How many students took the test?
What was the highest score on the test?
What test score occurred the most frequently?
How many marks separate the highest score and the most frequent score?
| Leaf | |
|---|---|
| 6 | 2\ 3\ 3\ 6\ 6\ 7 |
| 7 | 0\ 1\ 1\ 1\ 1\ 4\ 5\ 8 |
| 8 | 1\ 1\ 2\ 3\ 4\ 5\ 6\ 9\ 9\ 9 |
| 9 | 4\ 5\ 7\ 9 |
Key: 1 \vert 2 = 12