Find the range of the following sets of scores:
The range of a set of scores is 8, and the highest score is 19. What is the lowest score in the set?
A group of students had a range in marks of 14 and the lowest score was 9. What was the highest score in the group?
Which set of data has the smallest range?
Set A: \, 13, \, 16, \, 19, \, 21, \, 24
Set B: \, 15, \, 24, \, 50, \, 58
Set C: \, 6, \, 8, \, 16, \, 35, \, 40
Set D: \, 8, \, 14, \, 19, \, 24, \, 28
Which sets of data have the same range?
Set A: \, 3, \, 10, \, 12, \, 20, \, 24
Set B: \, 8, \, 21, \, 34, \, 61
Set C: \, 16, \, 25, \, 33
Set D: \, 1, \, 11, \, 20, \, 22
Consider the following sets of data:
Set A: \,101,\, 105,\, 118,\, 129,\, 136
Set B: \,19,\, 23,\, 25,\, 28,\, 29
Set C: \,22,\, 25,\, 43,\, 45,\, 57
Set D: \,104,\, 107,\, 113,\, 128,\, 141
Which set has the largest range?
Which set has the smallest range?
Which two sets have the same range?
Which of the following dot plots has the smaller range?
Compare the range of the following dot plots:
Consider the following histograms:
Which histogram has the smallest range?
Which histogram has the largest range?
State the range for the data in each of the following column graphs:
Find the range of fuel prices shown in the following line graph:
Consider the data provided in the table:
State the range of the scores.
State the mode.
| Score | Frequency |
|---|---|
| 68 | 16 |
| 69 | 41 |
| 70 | 30 |
| 71 | 31 |
| 72 | 49 |
| 73 | 29 |
In a study, a group of people were shown 30 names, and after 1 minute, they were asked to recite as many names by memory as possible. The results are presented in the dot plot:
What does each dot represent?
How many people took part in the study?
What is the largest number of names someone remembered?
What was the smallest number of names someone remembered?
State the range.
The stem-and-leaf plot shows the age of people who enter through the gates of a concert in the first 5 seconds:
How many people passed through the gates in the first 5 seconds?
State the range of ages of the concert goers.
| Leaf | |
|---|---|
| 1 | 2\ 3\ 4\ 5\ 5\ 6\ 6\ 7\ 7\ 9 |
| 2 | 1\ 2\ 4\ 4 |
| 3 | 0\ 2\ 9\ 9 |
| 4 | |
| 5 | 5 |
Key: 1\vert 2=12
A cyclist measured his heart rate immediately after finishing each event in which he competed. The results are recorded in the following stem plot:
State the range of his heart rates.
For each extra heartbeat per minute, it takes 10 seconds longer for him to recover. How much longer would it take to recover when he finishes with the fastest heart rate than when he finishes with the slowest heart rate?
| Leaf | |
|---|---|
| 16 | 0\ 3\ 4\ 4\ 6\ 7\ 8 |
| 17 | 1\ 2\ 2\ 3\ 5\ 5\ 5\ 6 |
| 18 | 4\ 4\ 6\ 8 |
| 19 | 0\ 1\ 3\ 6 |
Key: 13|2=132
Five numbers have a range of 16, a mode of 2, a median of 7 and a mean of 8. The minimum number in the set is 2.
From the information given, find:
The maximum
The second number in the data set
The fourth number in the data set
List the five numbers in the data set.
Four numbers have a range of 5, a median of 9 and a mode of 11. Write the four numbers of this data set.
Consider this set of data that represents the number of apps on six people’s phones:10,\, 13,\, 14,\, 17,\, 20,\, 20
If each person downloads another 9 apps, which measure(s) of centre or spread would change?
Consider the frequency distribution table:
Complete the table.
Calculate the mean, correct to two decimal places.
State the mode.
Find the range.
Determine the number of scores that are less than the mode.
| \text{Score } (x) | \text{Frequency } (f) | fx |
|---|---|---|
| 4 | 11 | |
| 5 | 35 | |
| 16 | ||
| 14 | ||
| \text{Total} | 43 | 365 |