Question 1
5 marksDo not use a calculator for this question.
Here are the ages, in years, of 8 members of a chess club.
(a)
Write down the modal age.
(b)
Work out the median age.
(c)
Work out the range of the ages.
Averages, Ranges & Data Practice Questions
Question 2
4 marksDo not use a calculator for this question.
Here are the amounts of rainfall, in mm, in a town on each of 7 days.
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(a)
Work out the mean amount of rainfall.
(b)
Work out the range of the amounts of rainfall.
Question 3
3 marksDo not use a calculator for this question.
A shop sells T-shirts. Here are the sizes of the 10 T-shirts sold on Monday.
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(a)
Write down the modal size.
(b)
Bea says,
"The range of the sizes is 8 to 16"
What is wrong with Bea's statement?
(c)
The manager wants to order more T-shirts.
Explain why the mode is the most useful average for the manager to use.
Question 0
4 marksDo not use a calculator for this question.
The table shows information about the number of pets owned by each of 30 students.
| Number of pets | Frequency |
|---|---|
| 0 | 4 |
| 1 | 9 |
| 2 | 8 |
| 3 | 6 |
| 4 | 3 |
(a)
Write down the modal number of pets.
(b)
Find the median number of pets.
(c)
Write down the range of the number of pets.
Question 0
2 marksDo not use a calculator for this question.
The table shows information about the number of points scored by two netball teams in their matches last season.
| Team | Mean number of points | Range |
|---|---|---|
| Ashford | 34 | 18 |
| Bewley | 29 | 5 |
Compare the number of points scored by the two teams.
Question 0
5 marksDo not use a calculator for this question.
The table shows information about the number of goals scored by a football team in each of 40 matches.
| Number of goals | Frequency |
|---|---|
| 0 | 6 |
| 1 | 12 |
| 2 | 11 |
| 3 | 7 |
| 4 | 4 |
(a)
Work out the mean number of goals scored per match.
(b)
Find the median number of goals.
Question 0
5 marksDo not use a calculator for this question.
Yusuf plays a game six times.
His mean score for the six games is 14
Here are his scores for five of the games.
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(a)
Work out his score for the sixth game.
(b)
Yusuf plays the game a seventh time.
The mean score for all seven games is 15
Work out his score for the seventh game.
Question 0
4 marksDo not use a calculator for this question.
There are 12 boys and 18 girls in a drama group.
The mean height of the 12 boys is 1.52 m.
The mean height of the 18 girls is 1.47 m.
(a)
Work out the total height of the 12 boys.
(b)
Work out the mean height of all 30 members of the drama group.
Question 0
5 marksDo not use a calculator for this question.
Here are the numbers of days that each of 7 employees was absent from work last year.
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(a)
Write down the value that is an outlier.
(b)
Work out the mean number of days absent.
(c)
Work out the median number of days absent.
(d)
Which of the mean or the median better represents the number of days absent for these employees?
Give a reason for your answer.
Question 0
3 marksDo not use a calculator for this question.
There are 4000 households in a town.
Saira asks the people in 50 of these households how many people live in their household.
The mean number of people per household for her sample is 2.6
(a)
Use Saira's results to estimate the total number of people living in the town.
(b)
Give one reason why your estimate in part (a) may not be accurate.
Question 0
4 marksDo not use a calculator for this question.
A gym has 800 members.
The owner wants to find out about the ages of the members.
On Monday morning he records the ages, in years, of the first 10 members to arrive.
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(a)
Work out the mean age of the members in this sample.
(b)
The owner says,
"The mean age of all 800 members of the gym is 63 years."
Explain why the owner may be wrong.
(c)
Describe one way the owner could improve his sample.
Question 0
5 marksDo not use a calculator for this question.
The table shows information about the time taken by each of 50 students to travel to school one morning.
| Time (t minutes) | Frequency |
|---|---|
| 0<t⩽10 | 8 |
| 10<t⩽20 | 15 |
| 20<t⩽30 | 14 |
| 30<t⩽40 | 9 |
| 40<t⩽50 | 4 |
(a)
Write down the modal class.
(b)
Write down the class interval that contains the median.
(c)
Work out an estimate for the mean time taken.
Question 0
5 marksDo not use a calculator for this question.
The table shows information about the number of children in each of the families living in a street.
| Number of children | Frequency |
|---|---|
| 0 | 5 |
| 1 | 8 |
| 2 | x |
| 3 | 4 |
The mean number of children per family is exactly 1.5
(a)
Work out the value of x.
(b)
Hence write down the modal number of children.
Question 0
4 marksDo not use a calculator for this question.
There are 25 students in a class.
15 of the students are girls and 10 of the students are boys.
In a test, the mean mark of the 15 girls was 62
The mean mark of all 25 students in the class was 58
Work out the mean mark of the 10 boys.