S1 Maths Revision- Statistics - WordPress.com · S1 Maths Revision- Statistics This study pack...
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S1 Maths Revision- Statistics
This study pack contains revision work for statistics
We have some reminders to help you remember how to do the calculations. Have a look through them then have a go at the questions in the revision exercises. They are at Extension, Core and Groundwork levels.
Choose the exercise that suits you best. You may wish to try more than one of them. Always try the easier one first. Answers are at the end so that you can check how you get on.
Good luck.
Reminders
Revision Topic – Statisitics
Groundwork – Revision
Statistics
1. A class carried out a survey to find
the pupils’ favourite type of pet.
Results are as follows:
Dog Cat Dog Fish Dog
Cat Hamster Fish Cat Dog
Cat Dog Fish Hamster Rabbit
Dog Dog Rabbit Rabbit Dog
a) Copy and complete this frequency table to
show the results:
Colour Tally FrequencyDogCatFishRabbitHamster
b) Show your results in a bar chart.
c) What is the most popular type of pet?
2. The pictograph below shows the favourite ice cream for a class.
Vanilla ☺☺☺☺☺☺
Chocolate ☺☺
Cherry ☺
Mint ☺☺☺☺
Caramel ☺☺☺☺☺☺☺ ☺ = 2 pupils
a) What is the favourite flavour?
b) How many chose cherry (not one!)
c) How many chose mint?
No of Pupils
Type of
Ice Cream
3 Senga’s test scores are as follows:
6 3 8 3 10
a) Calculate her mean score.
b) Kerry has only sat three tests.
Her scores are as follows:
7 10 7
Calculate her mean score and compare with Senga.
Core – Revision
Statistics
1. A class are asked how many hours of
exercise they took in the previous weekend.
The responses are listed below.
2 1 4 1 0 5 4 6 4 2
3 0 4 1 1 2 1 0 3 2
1 3 1 2 5 6 0 1 4 0
a) Draw a frequency table to show these results.
b) Use your frequency table to draw a bar graph.
c) It is recommended that teenagers exercise for at
least 2 hours each weekend.
Comment on how this applies to the results here.
d) Is there anything to consider when collecting the
data here?
2. Mr Teacher does a survey with his class.
The results are shown below.
No. of PupilsEnjoy school all of the time 4Enjoy school most of the time 10Enjoy school some of the time 7Do not enjoy school very often 8
a) Draw a pictograph to show the results.
b) Point out anything you think is wrong with the
questions Mr Teacher asked.
3. Mr Teacher does another survey to find out
what the favourite vegetable of his class is.
He draws a pie chart to show the results.
a) What is the least popular vegetable?
b) If 28 pupils had been asked, how many chose corn?
b) Anything wrong with Mr Teacher’s survey this time?
4. a) Sam’s test scores are as follows:
10 8 7 12 8
i) Calculate his mean test score.
ii) Calculate his range.
b) Linda has only sat three tests.
Her mean score is 9.
What is her total score?
Extension– Revision
Statistics
1. A survey is to be carried out in Wallace Hall
Academy to find the favourite subject
of the pupils.
Results are shown below:
Subject No. of ChildrenPE 18Art 12
Science 6Other 24
a) If you were drawing a pie chart to show these
results, calculate the size of angles for each sector.
b) Only a sample of the pupils were asked.
How can you tell this from the results?
c) What should be done to make it a fair sample?
d) Is there anything wrong with the way the survey
was carried out?
How would you describe the results?
2. Sally is a keen athlete.
Her favourite distance is the 200m.
She records her times for her most recent race
Time (seconds)
31 28 30 32 29
a) i Calculate the mean of these times.
ii Calculate the range.
Sally’s friend Brenda is also a 200m runner.
Her mean time is 29 seconds.
Her range is 6 seconds.
Make two statements comparing the data for
Sally and Brenda.
3. Three friends add up all the money that
they have between them.
They calculate that the mean amount of
money per person is £8.
How much money do they have altogether?
4. Sandy is a keen darts player.
He calculates that for his first five throws
his mean score is 40.
Unfortunately, after his sixth throw his mean
goes down to 35.
What was his score with his sixth throw?
1 .a) Colour Tally FrequencyDog IIII III 8Cat IIII 5Fish III 3Rabbit I 1Hamster II 2
b)
2. a) Caramel. b) 2 c) 7
3. a) 6 (30 ÷ 5)
b) 8 , Kerry has performed better than Senga as she has a higher mean
score.
Type of Pet
F
r
e
q
u
e
n
c
y
Core
No of Hours Frequency
0 41 72 53 44 55 46 1
0
1
2
3
4
5
6
7
8
0 1 2 3 4 5 6
No of Hours
1. a) b)
No of Hours
Frequency
c) While quite a lot of pupils had done less exercise
than 2 hours, most of them had done at least 2
hours.
d) Not a good idea to just take results of just one
weekend.
2. a) All of the time: ☺☺
Most of the time: ☺☺☺☺☺
Some of the time: ☺☺☺☺
Not very often: ☺☺☺☺ ☺ = 2 pupils.
b) The categories are not very clear. (They are vague)
3. a) Celery (no surprise there!)
b) 14
c) There are only 4 options, and no option if you like
another vegetable or do not like any. (Mr Teacher
needs to get a grip!)
4. a) 9 (45 ÷ 5) b) 27 (3 X 9)
1. a) PE 1080, Art 720, Science 360, Other 1440
b) There are only results of 60 pupils, much less than
are in the school.
c) Make sure all year groups are equally represented
and that there is gender equality.
d) Too few options for answers. This has meant that a
lot of results are “Other” which means the results
are vague.
2. a) i 30 secs ii 4 secs
b) Brenda is slightly faster on average as her mean
time 29 is lower than 30.
Sally is more consistent as her range 4
is less than 6.
3. £24
4. 10 (210 – 200)