For a dot plot, describe how we determine the frequency of each score.
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?
Create a dot plot to represent the following data:
49, 49, 49, 50, 48, 47, 50, 49, 51, 50, 51, 49, 52, 47, 50, 50, 48, 51, 51, 50, 48, 49, 52, 49, \\47, 47, 52, 52, 49, 47, 52, 48, 51, 50, 49, 52, 48, 48, 52, 50, 48, 47, 52, 52, 52, 48, 48, 49
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 glass windows for an airplane are cut to a certain thickness, but machine production means there is some variation. The thickness of each pane of glass produced is measured (in millimetres), and the dot plot shows the results:
What is the thinnest pane measured?
What thickness was measured 3 times?
What proportion of windows can be used?
Which thickness can be seen as an outlier?
If the glass is more than 0.1 mm outside the ideal thickness of 11.1 mm, it is not used. How many of the panes measured can be used?
The number of 'three-pointers' scored by a basketball team in each game of the season is represented in the dot plot. A 'three-pointer' is worth 3 points.
What was the total number of points scored from three-pointers during the season?
What was the average number of points scored from three pointers each game of the season? Round your answer to two decimal places.
State whether the following is true or false about an ordered stem-and-leaf plot:
The scores are ordered.
A stem-and-leaf plot does not give an idea of outliers and clusters.
It is only appropriate for data where scores have high frequencies.
The individual scores can be read on a stem-and-leaf plot.
Consider the stem plot shown.
Complete the following frequency table for the data displayed:
| Score | Frequency |
|---|---|
| 10-19 | |
| 20-29 | |
| 30-39 | |
| 40-49 | |
| 50-59 |
| 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|2=12
Create a stem plot to represent the following data:
24, 26, 25, 37, 36, 37, 37, 38, 41, 46, 49, 56, 67, 63, 67, 68, 69, 75, 80, 80
The stem plot 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 |
Key: 1|2= 12 years old
The scores for a recent spelling test are shown in the stem plot. The maximum possible score on the test was 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: 6|2=62
The level of mercury in 40 fishing waters was tested and recorded. The results are given in the following stem and leaf plot:
What was the second highest reading?
In how many places was a reading of 117 or higher recorded?
What was the 11th lowest score?
If the safe level of mercury is recommended to be 109 or lower, what percentage of the places have safe levels of mercury?
| Leaf | |
|---|---|
| 9 | 1\ 3\ 5\ 5\ 6 |
| 10 | 1\ 2\ 4\ 4\ 5\ 5\ 6\ 8\ 9\ 9 |
| 11 | 1\ 1\ 2\ 3\ 3\ 3\ 5\ 6\ 7\ 7\ 7\ 8\ 8\ 8\ 8\ 9 |
| 12 | 2\ 2\ 2\ 2\ 2\ 3\ 4\ 6\ 9 |
Key: 1|2=12 units
A cyclist measured his heart rate immediately after finishing each event in which he competed. The results are recorded in a stem and leaf plot, but two values are missing:
He can remember no number appears twice in the plot. What is the smaller missing number?
If both missing numbers sum to 367, what is the second missing number?
Key: 12|3= 123
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