11 questions · 47 marks · ≈ 47 min
The table shows information about the number of eggs in each of 40 birds’ nests.
| Number of eggs | Frequency |
|---|---|
| 0 | 5 |
| 1 | 14 |
| 2 | 11 |
| 3 | 6 |
| 4 | 3 |
| 5 | 1 |
Write down the mode.
Find the median.
Work out the total number of eggs.
One of these nests is chosen at random.
Find the probability that there are more than 2 eggs in the nest.
Ian plays 7 games of cricket. His mean score per game for these 7 games is 42 runs.
Ian is going to play one more game of cricket. He wants his mean score per game for the 8 games to be exactly 50 runs.
How many runs must he score in his 8th game?
Pam plays netball for her school team.
Here are the numbers of goals she scored in the last 8 games. The numbers of goals are written in order of size.
1 1 2 2 3 6 14
Find the range of the number of goals Pam scored.
Find the median number of goals Pam scored
The mean number of goals Pam scored in the 8 games is 5
Work out the value of
The table gives information about the number of minutes that Abby spent walking each day in September.
| Number of minutes (M) | Frequency |
|---|---|
| 5 | |
| 6 | |
| 8 | |
| 9 | |
| 2 |
Work out an estimate for the total number of minutes that Abby spent walking in September.
Team A and Team B take part in a quiz league.
After 11 rounds, Team A has a mean score per round of 17 After 9 rounds, Team B has a mean score per round of 18
Both teams take part in a further round. After this round, both teams have a mean score per round of 18.5
In the further round, Team A scored more points than Team B.
How many more?
The table gives information about the number of rewards gained by each of 50 students last term.
| Number of rewards | Frequency |
|---|---|
| 0 | 3 |
| 1 | 9 |
| 2 | 15 |
| 3 | 18 |
| 4 | 4 |
| 5 | 1 |
Write down the mode of the number of rewards.
Work out the mean number of rewards.
One of these students is chosen at random.
Find the probability that this student gained more than 2 rewards
The table shows information about the lengths, in minutes, of 50 telephone calls.
| Length of telephone call ( minutes) | Frequency |
|---|---|
| 8 | |
| 2 | |
| 6 | |
| 4 | |
| 12 | |
| 18 |
Write down the modal class.
Work out an estimate for the total length, in minutes, of these telephone calls.
The mean number of goals scored by a hockey team in 8 matches is 6 The team plays 2 more matches and scores goals in each match. The mean number of goals scored by the hockey team in the 10 matches is 7
Work out the value of
The bar chart shows information about the number of bracelets and necklaces a jewellery shop sold in May, June and July last year.
David wants to hire another staff member.
David can only hire another staff member if the mean number of pieces of jewellery sold per month is at least 50.
Based on the information in the bar chart, can David hire another member of staff? Show your working.
An area manager of a supermarket wants to reserve a turkey in December.
He calls up all of the stores in his area and asks them how many turkeys they have left.
The table below shows his findings.
| Turkeys in stock | Frequency |
|---|---|
| 0 | 5 |
| 1 | 15 |
| 2 | 6 |
| 3 | 2 |
| 4 | 1 |
| 5 | 1 |
Write down the mode.
Find the median.
Find the total number of turkeys left in the area.
Tyrique is playing a computer game.
For the first 3 games, his mean score is 63 points.
For the next 7 games, the mean is 84.
Tyrique plays an 11th game. The mean score of the 11 games is 76 points.
Find Tyrique's score for the 11th game.