A technology company wishes to see what MP3 players people are using. They took a small sample and found the following:
-
Apple: 156
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Sandisk: 19
Samsung: 32
Other: 74
Which sector represents Samsung?
The sector graph given represents the market share of four brands. Given that Brand C is twice as popular as Brand A, find the angle at the centre for Brand D.
The table below shows how many of the world’s largest banks are in each country:
| Number of Banks | Sector Angle | |
|---|---|---|
| France | \qquad \quad \enspace 4 | |
| Germany | \qquad \quad \enspace 3 | |
| Japan | \qquad \quad \enspace 2 | |
| United Kingdom | \qquad \quad \enspace 6 | |
| United States of America | \qquad \quad \enspace 9 |
So that the data can be displayed in a sector graph, complete the table by finding what angle each country's sector should be.
Construct a sector graph to represent the information in the table.
The sector graph represents the number of people taking leave from work at a particular company:
If 25 people took leave in January, how many degrees represents 1 person?
How many people took leave in November?
How many people took leave between the beginning of November and the end of March?
What percentage took leave in December? Round your answer to two decimal places.
Students were asked to name their favourite subject at school. Their answers are displayed in the pie chart:
Which of the following subjects is more popular, English or Math?
Which subject is most popular in the school?
What fraction do the students that prefer English represent?
A survey of 100 people was taken to find which type of movie they prefer. The following pie chart displays the data collected:
Which type of movie is more popular, Sci-fi or Romance?
What movie genre is most popular?
Which fraction of people like Romance movies?
Miss Yen recorded her students' favourite pets in the following column graph:
Which type of pet is most popular?
Which pet is least popular?
How many students picked a fish as their favourite pet?
How many students were surveyed in total?
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 table below:
How many people took part in the survey?
How much time did most people take to choose between brands?
Construct a column graph for the data.
| Minutes Taken | Frequency |
|---|---|
| 1 | 13 |
| 2 | 17 |
| 3 | 12 |
An amusement park recorded the number of people that visited during a week of the school holidays and displayed the data in the 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?
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.
Create a frequency table for the set of data shown in the following column graph:
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 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 |
The given histogram shows the number of hours that students in a particular class had slept for the night before.
How many students are in the class?
How many students had at least 8 hours of sleep that night?
What percentage of students had less than 6 hours of sleep?
The histogram below shows the speed of balls delivered by cricket bowlers:
Complete a frequency table above for this set of data.
What percentage of balls were bowled at less than 130 \text{ km/h}? Round your answer to one decimal place.
The histogram below shows the heights of 60 tomato plants growing in a greenhouse:
Create a frequency table for this set of data.
What percentage of the tomato plants are in the most common category? Round your answer to one decimal place.
A battery manufacturer tests their batteries in a portable music player, to find out how long the batteries last under constant use. The histogram below shows the data from their tests:
Create a frequency table for this set of data.
What percentage of batteries last longer than 10 hours? Round your answer to one decimal place.
If the average length of a song is 4 minutes, what percentage of batteries will last for an average of 250 songs or more? Round your answer to one decimal place.
The histogram below shows the heights of 200 randomly selected rugby players:
Create a frequency table for this set of data.
If the average height of an Australian man is 175\text{ cm}, what fraction of the rugby players sampled were shorter than average?
Consider the histogram below, showing the length of the phone calls made by Pauline in a month.
Create a frequency table for this set of data.
Pauline's phone company charges phone calls as if they were at the upper boundary of the interval. For example, a phone call lasting 1 minute and 48 seconds would be charged as if it were a 2 minute call.
Find the total number of minutes for which Pauline will be charged for phone calls this month.
If Pauline receives 30 minutes of free calls per month, and is charged \$1.50 per minute afterwards, find her total spending for the month.
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?
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 given dot plot:
Construct a frequency table for this data.
Consider the following dot plot showing students scores:
Construct 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?
The stem plot below shows the age of people to enter through the gates of a concert in the first 5 seconds:
How many people passed through the gates in the first 5 seconds?
What was the age of the youngest person?
What was the age of the oldest person?
What proportion of the concert-goers were under 25 years old?
| Leaf | |
|---|---|
| 1 | 2\ 4\ 5\ 6\ 6\ 9\ 9 |
| 2 | 1\ 2\ 6\ 7\ 8\ 9\ 9 |
| 3 | 1\ 3\ 8\ 8 |
| 4 | |
| 5 | 5 |
\text{Key:} 1|2=12 \text{ years old}
Construct a stem 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
Create a frequency table for the data in the following stem 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, out of 100, for a recent spelling test are shown in the following stem plot:
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
The size of each earthquake that occurred over a three year period, measured from 0 to 9.9, is recorded in the following stem plot:
What was the size of the largest earthquake measured?
An earthquake of size 6 or greater causes significant damage to buildings. How many of the earthquakes caused significant damage to buildings?
Students are asked to randomly choose an earthquake to report on.
What is the probability that the first person picks an earthquake that measured between 8 and 9 (inclusive)?
| Leaf | |
|---|---|
| 0 | 9 |
| 1 | 1\ 5 |
| 2 | 1\ 2\ 2\ 3\ 3\ 5\ 6\ 6\ 6\ 7\ 9\ 9 |
| 3 | 0\ 2\ 8 |
| 4 | 0\ 6\ 6\ 8\ 8\ 9 |
| 5 | 5\ 7\ 7\ 8 |
| 6 | 0\ 2\ 4\ 4\ 9 |
| 7 | 1\ 5\ 7 |
| 8 | 0\ 4\ 5\ 8 |
Key: 4|6=4.6