Edexcel GCSE Statistics Paper 2 Foundation November 2021 question paper 1ST0/2F

Marisa has 6 tiles. Each tile has a number on it.

Here are Marisa’s tiles.

Marisa puts her tiles in a bag. Marisa takes at random a tile from the bag.

Underline the word from the list below that best describes the likelihood that the tile has a 2 on it.

impossible certain evens unlikely likely

Underline the word from the list below that best describes the likelihood that the tile has a number on it.

impossible certain evens unlikely likely

The probability scale below shows some probabilities marked with letters.

A B C D E F G

Write down the letter that shows the probability that the tile taken from the bag

has a 3 on it,

has a 1 or a 2 on it.

An activity centre sells Adult tickets and Child tickets. A ticket can be a Day pass or a Weekend pass.

The incomplete two‑way table gives some information about the number of each type of ticket sold last Saturday.

Complete the two‑way table.

One of the people at the activity centre last Saturday with an Adult ticket is selected at random.

Write down the probability that their ticket is a Day pass.

Compare the number of Day passes sold and the number of Weekend passes sold. You should make two comparisons.

The manager of an art shop wants to find out about the shopping habits of customers in his shop. He wants to find out how many customers leave the shop without buying anything.

For the next four weeks he plans to record how many customers leave the shop without buying anything each Monday.

Give one problem with the manager’s plan for data collection.

The manager asks his staff to record the number of people served at the till each hour.

‘Number of people served’ is an example of which type of data?

The staff record the number of people served per hour. Here is the completed table.

Identify two problems with this completed table.

The manager also collected data on the type of art that his customers produce.

The incomplete bar chart shows information about the type of art produced by some of his customers.

Photography is the type of art produced by 11 customers.

Complete the bar chart.

Which type of art is produced by half as many customers as those who produce paintings?

Shona and Luke are investigating housing.

Shona wants to find out about the types of house in which people live. She plans to collect data by asking people to tell her in which type of house they each live.

Complete the sentence with an appropriate statistical word.

Shona is collecting the data herself and so this is_........ data.

Design a data collection sheet for Shona to use.

Luke has collected data about the number of people living in each of the 12 houses in his street.

Here is his data.

2 2 3 3 3 4 4 4 4 5 5 11

Luke wants to work out the average of the number of people living in each house in his street.

Which average, mean or median, would it be more appropriate for Luke to use? Give a reason for your answer.

There is one outlier in the data.

Excluding the outlier, work out the range of the number of people living in the houses in the street.

Shona has collected data about the number of people living in each of the houses in her street. She has collected data for 2014 and for 2019

The table gives the range of the number of people living in the houses in Shona’s street

Compare the range for 2014 with the range for 2019 and interpret your comparison in context.

On the grid, use this information to complete the composite bar chart for Year 3

How many retirement cakes were sold in Year 2?

Describe how the numbers of retirement cakes sold changed over the three years.

Simas is investigating what students like to do in their spare time.

He collected data by asking the students at a primary school and at a secondary school what they like to do in their spare time.

Simas asked each student at the two schools which of reading, watching television, playing computer games or playing outside they like best to do in their spare time.

The pie charts show information about the students’ answers.

What does the pie chart for the primary school students show about what they like best to do in their spare time? Give one conclusion.

Compare what primary school students like best to do in their spare time with what the secondary school students like best to do in their spare time. Give two comparisons.

Ruth is investigating the results of the Six Nations rugby competition.

She finds the following summary information for the Six Nations rugby competition in 2018 and in 2019

In 2018, which two teams had fewer ‘points scored for’ than ‘points scored against’?

Two teams finished in the same final position in 2019 as they had finished in 2018

Write down the names of these two teams.

Which team won 2 matches in 2018 and 3 matches in 2019?

Ruth concludes that in 2018 and in 2019 Wales had a more successful rugby team than Scotland.

Does the information in the tables support her conclusion? Give a reason for your answer.

Ruth found from a newspaper the age of each player from the England team for a 2019 Six Nations rugby match.

Here are the ages.

20 24 25 25 26 26 26 27 27 28 28 28 28 29 29

(Source: www.irishtimes.com)

Find the mode of the ages.

Ruth plans to use a stem and leaf diagram to represent the ages.

Discuss whether or not a stem and leaf diagram would be an appropriate diagram to use.

Diana is investigating the numbers of wolf pups in wolf dens and the numbers of fox pups in fox dens.

She collected data from the internet.

Data collected from the internet is an example of secondary data.

Explain why data collected from the internet is an example of secondary data.

Diana finds data on the number of wolf pups observed in a random sample of 16 wolf dens.

Here is the data.

3 3 4 4 5 5 5 5

5 6 6 7 7 8 8 9

(Source: college.cengage.com)

Diana also collects data on the number of fox pups in each den of a random sample of fox dens.

Here is information about the numbers of fox pups in the fox dens.

(Source: foxsurvey.ucdavis.edu)

Compare the distribution of the numbers of wolf pups in the wolf dens and the distribution of the numbers of fox pups in the fox dens. Justify your comparisons and interpret one of them in the context of the numbers of pups.

Explain how the use of secondary data affects the reliability of your conclusions in part (b)(i).

There are two types of books, paperback books and hardback books, in a library. The library database records the type of book and when the book was last borrowed.

A book is selected at random from the database.

The librarian draws the probability tree diagram shown below. The tree diagram gives the probability of each type of book. The tree diagram also gives the probability of whether the book was borrowed in the last month.

Write down the probability that a paperback book was borrowed in the last month.

There are 3600 paperback books in the database.

Work out how many of these paperback books were borrowed in the last month.

A book is selected at random from the database.

Find the probability that the book was borrowed in the last month.

Ben is investigating how far people travel to work each day. He asks the people in his office how far, in miles, they travel to work each day.

The grouped frequency table gives information about their answers.

Distance (d miles)	Frequency
0 d 5	7
5 d 10	10
10 d 15	9
15 d 20	6
20 d 25	3

Calculate an estimate of the mean distance. Give your answer correct to one decimal place.

Ben finds a newspaper report that says that the average distance travelled to work each day in England and Wales in 2001 was 8.3 miles. (Source: www.telegraph.co.uk)

From this Ben concludes that the distance travelled to work each day in England and Wales has increased since 2001

Give two reasons why Ben’s conclusion may not be reliable.

Tim is writing an article for university lecturers on literacy rates in Africa.

He uses the following choropleth map to display the literacy rates in the countries of mainland Africa and Madagascar.

No data 0% 20%
40%
60%
80% 95% 100%

Discuss whether or not this is a suitable diagram to use for the readers of his article.

In his article, Tim concludes that the south of Africa has higher literacy rates than other parts of Africa.

Does the choropleth map support this conclusion? Give statistical reasons for your answer.

Rachel collects data on the engine size (in litres) and the fuel economy during city driving (in miles per gallon) for each car in a sample of 61 cars of various types.

The scatter diagram was drawn for this information by statistical software.

Describe and interpret the type of correlation shown by the scatter diagram.

The statistical software worked out that the mean engine size for the 61 cars in the sample is 3.3 litres, correct to one decimal place. The statistical software worked out that the total of the fuel economies for the 61 cars in the sample is 1183

On the scatter diagram,

plot with a cross (X) the double mean point (, ) of the data,

draw a line of best fit through the double mean point.

Rachel wants to predict the fuel economy of a car with an engine size of 7 litres.

Explain why it is not appropriate to use the line of best fit on this scatter diagram to find this prediction.

Anne is investigating the effect of caffeine on reaction times.

Here is what Anne has written down for her hypothesis and how she plans to collect, process and present her data.

Discuss whether Anne’s hypothesis and her plans for collecting, processing and presenting data are appropriate.

A firm produces pottery. The firm produces 1000 plates each week.

The manager of the firm wants to take a systematic sample of 5% of the plates to check for faults.

Describe how the manager should take this sample.

Give one disadvantage of using systematic sampling.

The manager also collects information about the orders that the firm has received.

The grouped frequency table gives a summary of the costs of the 80 orders received last week.

Cost (£c)	Frequency
0 c 50	15
50 c 100	18
100 c 150	20
150 c 200	19
200 c 250	3
250 c 300	5

Write down the class interval which contains the median cost.

Use linear interpolation to work out an estimate of the median cost.