Sophie wants to find out how often people go to the cinema.
She gives a questionnaire to all the women leaving a cinema.
Her sample is biased.
State two possible reasons why.
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Sophie wants to find out how often people go to the cinema.
She gives a questionnaire to all the women leaving a cinema.
Her sample is biased.
State two possible reasons why.
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The table below shows the number of goals a team scored in 46 matches.
Goals Scored | Frequency |
0 | 7 |
1 | 18 |
2 | 13 |
3 | 6 |
4 | 2 |
5 or more | 0 |
Find the mean number of goals scored per match.
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James and Susan are playing a game where points are scored.
Their points for 6 attempts at the game are shown below.
James | 4 | 4 | 6 | 5 | 7 | 3 |
Susan | 1 | 8 | 9 | 10 | 2 | 3 |
(i)
Who had the most consistent score?
Give a reason for your answer.
[2]
(ii)
Who had the highest mean score over the 6 attempts?
You must show your working.
[3]
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Here are the weekly wages, in dollars, of the ten workers in an office.
280 | 200 | 175 | 1180 | 95 | 182 | 238 | 256 | 194 | 250 |
$ ................................................. [2]
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The table shows the maximum power, kW, and the time taken, in seconds, to accelerate from 0 to 100 km/h for each of 10 cars.
Maximum power (kW) |
77 | 52 | 103 | 55 | 44 | 51 | 85 | 135 | 90 | 110 |
Time (seconds) |
12.5 | 14.9 | 9.0 | 12.1 | 14.4 | 12.9 | 10.0 | 7.1 | 11.0 | 9.4 |
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Dina has a set of 12 cards.
These are the numbers on the cards.
3 | 4 | 1 | 3 | 2 | 1 | 3 | 4 | 2 | 2 | 1 | 3 |
Work out
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27 | 14 | 8 | 93 | 32 | 55 | 14 | 38 | 73 | 47 |
From this list of numbers find
the median,
[2]
27 | 14 | 8 | 93 | 32 | 55 | 14 | 38 | 73 | 47 |
From this list of numbers find
the range.
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These are the number of texts sent one day by each of 10 students.
18 | 13 | 15 | 8 | 9 | 17 | 12 | 8 | 6 | 14 |
Write down the mode.
Calculate the mean.
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Emma records the number of letters in each word in a sentence.
7 | 1 | 5 | 4 | 2 | 4 | 5 | 3 | 3 | 1 | 2 | 4 |
Find
Jack records the number of letters in 25 words.
Number of letters in a word |
Number of words |
1 | 3 |
2 | 1 |
3 | 5 |
4 | 8 |
5 | 6 |
6 | 2 |
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At Donville station the number of tickets sold each day is recorded for seven days.
104 | 18 | 72 | 31 | 27 | 45 | 60 |
Find
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The table shows the different methods of travel for 20 people going to work.
Method of travel | Frequency |
Car | 10 |
Walk | 5 |
Bike | 3 |
Bus | 2 |
Which type of average, mean, median or mode, can be used for this information?
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A factory which produces bicycles is planning to make four different models; A, B, C, and D.
60 people are asked which of the four models they would be most likely to buy.
The table shows information about the results.
Bicycle Model | Number of people |
A | 17 |
B | 11 |
C | 24 |
D | 8 |
The factory is going to make 20 000 bicycles next year.
(i)
Work out how many model C bicycles the factory should make next year.
[2]
(ii)
Explain why your answer to part (i) may be inaccurate.
[1]
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The table below shows the number of goals a team scored in 45 matches.
Goals Scored | Frequency |
0 | 7 |
1 | 18 |
2 | 13 |
3 | 6 |
4 | 1 |
5 or more | 0 |
Find the median number of goals scored per game.
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Daniel asked 50 students how many minutes they each took to get to school.
Time taken (t minutes) |
Frequency | ||
0 < t ≤ 10 | 8 | ||
10 < t ≤ 20 | 21 | ||
20 < t ≤ 30 | 11 | ||
30 < t ≤ 40 | 10 |
Work out an estimate for the mean number of minutes taken by the 50 students.
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The table shows the temperature, in °C, at midday on the first day of each month during one year in a city.
Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec |
9 | 11 | 15 | 19 | 23.5 | 27.5 | 29 | 28 | 25 | 19.5 | 14.5 | 10 |
Calculate the mean of these temperatures.
............................................. °C
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Helena has a set of cards.
She takes one card at random and records the number shown.
She does this 50 times.
The results are shown in the table.
Number on card | Frequency |
1 | 8 |
2 | 11 |
3 | 10 |
4 | 9 |
5 | 12 |
Calculate the mean of her results.
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Joel spins a fair five sides spinner numbered 2, 3, 4, 5, 6.
The table shows the results of his first 20 spins.
Number | 2 | 3 | 4 | 5 | 6 |
Frequency | 3 | 2 | 6 | 4 | 5 |
Joel wants to draw a pie chart to show the results in the table.
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The table shows the number of bananas bought by the last 50 customers at a store.
Number of bananas bought |
Frequency |
0 | 14 |
1 | 0 |
2 | 2 |
3 | 5 |
4 | 11 |
5 | 8 |
6 | 10 |
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The number of people in each of 150 cars entering the leisure centre car park is recorded.
The table shows the results.
Number of people | 1 | 2 | 3 | 4 | 5 |
Frequency | 44 | 43 | 30 | 25 | 8 |
[1]
[3]
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Ken wants to find investigate the opinion of students in his school, which has 5 year groups.
The table gives information about the number of students in each year group in Ken's school.
Year group | Number of students |
First year | 170 |
Second year | 162 |
Third year | 155 |
Fourth year | 168 |
Fifth year | 140 |
(i)
State the population in this situation.
[1]
(ii)
State one reason why Ken should consider surveying a sample.
[1]
(iii)
State one reason why Ken should consider surveying the population.
[1]
(iv)
Ken decides to take a survey of 30 students.
Calculate how many students from Fifth year should be in his sample for it to be representative of the population.
[3]
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The table shows information about the number of hours that 110 children spent playing video games last week.
Number of hours (h) | Frequency |
0 < h ≤ 2 | 12 |
2 < h ≤ 4 | 15 |
4 < h ≤ 6 | 28 |
6 < h ≤ 8 | 30 |
8 < h ≤ 10 | 20 |
10 < h ≤ 12 | 5 |
Jamie is trying to calculate an estimate for the mean number of hours that the 110 children played video games for last week.
His working is shown below.
Number of hours (h) | Frequency | Midpoint | Frequency × Midpoint |
0 < h ≤ 2 | 12 | 1 | 12 |
2 < h ≤ 4 | 15 | 3 | 45 |
4 < h ≤ 6 | 28 | 5 | 140 |
6 < h ≤ 8 | 30 | 7 | 210 |
8 < h ≤ 10 | 20 | 9 | 180 |
10 < h ≤ 12 | 5 | 11 | 55 |
Total | 110 | 36 | 642 |
Mean =
Jamie has made 1 mistake in his calculation.
Describe the mistake and correct it to find the correct estimated value of the mean.
[2]
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The table gives information about the weights, in kg, of 36 packages being loaded on to a delivery truck.
Weight (w kg) | Frequency |
0 < w ≤ 10 | 12 |
10 < w ≤ 15 | 14 |
15 < w ≤ 20 | 7 |
20 < w ≤ 35 | 3 |
(i)
Calculate an estimate for the mean weight of the packages.
[4]
(ii)
Explain why your answer to part (i) will only be an estimate.
[1]
(iii)
On a different delivery truck, there are 50 packages.
Using the data in the table, estimate the number of these packages that weigh between 0 and 10 kg.
[2]
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Ning has a spinner numbered 1 to 6.
She spins it 50 times and her results are shown in the table.
Number on spinner |
Frequency |
1 | 15 |
2 | 12 |
3 | 9 |
4 | 5 |
5 | 2 |
6 | 7 |
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The mean of seven numbers is 16.
Six of these numbers are 12, 20, 19, 10, 21 and 13.
Find the seventh number.
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Six students bring an apple to school one day.
The list shows the mass of each apple, correct to the nearest gram.
82 | 94 | 78 | 103 | 88 | 82 |
Find
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The mean of three numbers is 150.
The numbers are 361, 2 and .
Find the value of .
= ...................................................
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Five numbers have a mean of 9.4 .
Four of the numbers are 3, 5, 10 and 12.
Work out the range of the five numbers.
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The number of examinations that each of 196 candidates takes is recorded in the table.
Number of examinations | 5 | 6 | 7 | 8 |
Number of candidates | 27 | 42 | 63 | 64 |
[1]
[3]
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