Pre-Learning
Assessment
Year 8 Module 6: Statistics
Name: ………………………………………………………………….
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
What are we learning this half term?
Collecting and Organising Data- This topic will teach how you to collect, classify and tabulate data from a variety of collection methods.
- You will learn how to construct and interpret tables, bar graphs, pictograms, line graphs, pie charts and histograms
- You will be able to recognise the purpose and appropriate use of different statistical representations, as well as their advantages and disadvantages
1)A grocer has 100 boxes ofstrawberries.
He weighs 10 of the boxes.
Which three words describe the data he collects?
Circle your answers.
continuous discrete sample primary secondary
(2)
2)Lisa works in a shoe shop.
She recorded the size of each pair of trainers that she sold during a week.
This is what she wrote down.
Sizes of trainers soldMonday / 7 / 7 / 5 / 6
Tuesday / 6 / 4 / 4 / 8
Wednesday / 5 / 8 / 6 / 7 / 5
Thursday / 7 / 4 / 5
Friday / 7 / 4 / 9 / 5 / 7 / 8
Saturday / 6 / 5 / 7 / 6 / 9 / 4 / 7
Use a tallying method to make a table showing how many pairs of trainers of each size were sold during the whole week.
(2)
3)A sports centre has two different clubs.
a)22 children go to the gym club.
Complete the pictogram.
(1)
b)10 more girls than boys go to the swimming club.
Complete the key.
(1)
4)The table shows the results of 60 penalty kicks taken in the Premier League in one season.
Outcome / FrequencyGoal scored / 40
Shot saved / 8
Missed goal / 10
Hit post / 2
Complete the bar chart to show this information.
(2)
5) The masses of 100 bags of sprouts are summarised in the table.
Mass, x (grams) / Frequency600 ≤ x 800 / 10
800 ≤ x < 1000 / 46
1000 ≤ x < 1200 / 32
1200 ≤ x < 1400 / 12
Show the data on a bar chart.
(2)
6)Ian sells cans of drinks.
The table shows the percentages of drinks sold on Monday morning.
Drink / Percentage SoldCola / 30%
Lemonade / 20%
Orange / 50%
Draw a pie chart for the data.
(3)
7)Jayne and Anita recorded their 10km running times over a period of four weeks.
Week 1 / Week 2 / Week 3 / Week 4Jayne / 54.2 mins / 60.8 mins / 51.3 mins / 59.9 mins
Anita / 58 mins / 57.1 mins / 57.6 mins / 58.2 mins
Compare Jayne’s and Anita’s running times using the mean and range. Use this information to decide who you think is the better runner. You must give reasons why.
……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
8)The Metropolitan Police recorded the number of complaints made after 7 different football matches. Use the data below to complete the table?
ModeMedian
Mean
Range
17, 23, 8, 15, 2, 8, 11
(4)
(3)
9)In a survey, people were asked:
How good is your doctor?The pie chart shows the results.
a)About what percentage of the people said ‘Satisfactory’?
...... %
(1)
b)Altogether, about what percentage of the people said ‘Poor’ or ‘Very poor’?
...... %
(1)
c)Give one reason why a person may say ‘Don’t know’.
(1)
10)The diagrams show the number of hours of sunshine in two different months.
a)How many days are there in month A?
Tick () the correct box.
/ 28 / 29 / 30 / 31 / not possible to tell(1)
b)How many days are there in month B?
Tick () the correct box.
/ 28 / 29 / 30 / 31 / not possible to tell /(1)
c)Which month had more hours of sunshine?
Tick () the correct box.
month A month B
Explain how you know.
(1)
11)The two diagrams show the heights of some girls and boys.
a)Use the diagrams to decide whether these statements are true or false.
Tick () your answer.
There are more girls than boys.True False
Show calculations to explain how you know.
(1)
The modal class for girls is the same as the modal class for boys.True False
Explain how you know.
(1)
b) The height of the shortest girl is the same as the height of the shortest boy.
Is the range of girls’ heights greater than the range of boys’ heights?
Yes No
Explain how you know.
(1)
12)a) A teacher asked her pupils if they recycled newspapers and glass.
The pie chart shows the results.
5 pupils answered ‘Neither’.
How many pupils answered ‘Newspapers only’?
Show your working.
…………………… pupils(2)
(b) The teacher asked a different class if they recycled newspapers and glass.
There were 24 pupils in the class. 9 pupils answered ‘Newspapers only’.
On a pie chart, what would the angle be for the sector ‘Newspapers only’?
Show your working.
...... °(2)
13)The graph shows the temperature in a town between 6am and 2pm on 7th February and 7thAugust one year.
a) Estimate as accurately as you can the time when the temperature reached 20°C on 7thAugust.
...... am (1)
b) What was the difference between the temperatures at 12 noon on the two days?
...... °C (1)
c) On 7th February between 6am and 2pm the temperature dropped.
How many degrees did the temperature drop?
...... °C (1)
14) The pie chart shows how much time each day, on average, we spend doing different things.
"How Britons use their time (1995 data)"
Data from 'Economic Trends', Office for National Statistics, © Crown Copyright 1998
a)The sum of the percentages is not 100%.
Does this mean there must be a mistake in the pie chart?
Explain your answer.
(1)
b) Calculate how much time in one day (24 hours) we spend on average on paid work.
Show your working and give your answer in hours and minutes.
...... hours ...... minutes (2)
c)Most days of paid work are at least 7 hours long.
Give one reason why the average amount is less than this.
(1)
15) The chart shows the ages of the world’s population in 1998.
It also shows a prediction of the ages of the world’s population in 2050.
a)Use the information in the chart to decide if the statement below is true or false, or if there is not enough information to tell.
The percentage of the population that is aged under 20 is expected to be about the same in 2050 as it was in 1998.True False Not enough information
Explain your answer.
(1)
b)Approximately, what is the expected percentage increase from 1998 to 2050 in the total world population?
...... % (1)
c)Approximately, what is the expected percentage increase from 1998 to 2050 in thenumber of people who are aged 60 or over?
...... %(1)
d)Using your answers to part (b) and part (c), to write about the expected change in the ages of the world’s population from 1998 to 2050.
(2)
16) Some pupils wanted to find out if people liked a new biscuit.
They decided to do a survey and wrote a questionnaire.
(a) One question was:
How old are you (in years)?
Mary said:
Explain why Mary was right?
(1)
(b) A different question was:
How much do you usually spend on biscuits each week?
Mary said: “Some of these labels need changing too”.
Write new labels for any boxes that need changing.
You may change as many labels as you want to.
(2)
The pupils decide to give their questionnaire to 50 people.
Jon said:
(c) Give one disadvantage of Jon’s suggestion.
(1)
(d) Give one advantage of Jon’s suggestion.
(1)
Finishing task
Five boys and three girls check their emails.
The mean number of emails received by the boys was 12.
The mean number of emails received by the girls was 15.
Determine whether the statements below are true or false and explain your answer clearly in each case in words or through examples.
- The person who received the most emails was a girl.
- The boys received more emails altogether than the girls.
- At least one of the girls got more than 15 emails.
- Each person (girls and boys) received at least one email.
- None of the boys received more than 20 emails.