Edexcel GCSE Statistics Paper 1 Foundation November 2020 question paper 1ST0/1F

Jon is investigating the colour of the eyes of all the students at his school. He recorded the colour of the eyes of a sample of 20 students in his class.

Work out how many of these students do not have brown eyes.

One of these students is selected at random.

Describe the likelihood that this student has grey eyes.

For Jon’s investigation, which statistical term best describes all of the students at Jon’s school?

Explain whether or not Jon could use his results to determine the most common colour of the eyes of teachers in his school.

Dalia works in a cafe. One Monday morning she recorded what type of milk each customer wanted in their coffee.

The tally chart gives the number of customers who wanted whole milk or skimmed milk or soya milk or no milk.

The list below gives the type of milk wanted by each of the other customers.

oat oat almond oat almond almond oat almond almond almond almond

Complete the tally chart.

Write down the type of milk that is the mode.

On Tuesday, Dalia again recorded what type of milk each customer wanted in their coffee.

The table below gives information about her results.

Determine whether or not both days have the same mode. You must give a reason for your answer.

The table shows information about the mean amount of water used per person per day in each of five countries.

(Source: United Nations Development Program

Here is a visual representation of the data.

Discuss whether or not this is an appropriate way to represent this information.

Some students in Year 9, in Year 10 and in Year 11 at a school were asked to name their favourite meal.

The two-way table gives some information about the favourite meal of each of these students.

Write down the number of Year 9 students whose favourite meal is lunch.

Complete the two-way table.

One of the students is selected at random.

Which meal is least likely to be this student’s favourite meal?

Write down the probability that this student is in Year 11

Find the probability that this student’s favourite meal is either lunch or dinner.

Given that this student is in Year 9, find the probability that this student’s favourite meal is breakfast.

People who completed higher education were asked what they were doing six months after they graduated.

The table shows information about the answers given by those who completed higher education in the UK for the years 2013 to 2017

(Source: Higher Education Statistics Agency

Write down the number of people in 2016 who answered Overseas work.

Write down all years in which the number of Non-response was greater than 120 000

Between which two consecutive years did the greatest increase in the number of people answering Further study take place?

For one of the categories in the table, the number of people decreased each year from 2013 to 2017

Write down this category.

Here are two methods that could have been used to collect this information.

Method 1: Conduct a face to face interview with each person who completed higher education.

Method 2: Send an email to each person who completed higher education inviting them to complete an online survey.

State which of Method 1 or Method 2 is the more appropriate method to use. Give a reason for your answer.

Sam works in a bank.

He wants to survey the people who work at the bank in order to investigate whether there is a relationship between a person’s height and the person’s salary.

Suggest a hypothesis for Sam’s investigation.

Sam plans to collect the data himself.

Complete correctly the sentence below.

Data collected by the person who is going to use the data is called_........ data.

Explain why Sam may have difficulty in collecting data about people’s salaries.

The list below contains some variables that Sam is planning to collect.

salary height age

The variables that Sam is planning to collect are all examples of which type of data?

Sam decides to take a sample of employees by putting the name of everyone who works at the bank in a list in alphabetical order and selecting every 5th name on the list.

Write down the name of this sampling method.

Part of a spreadsheet of data that has been collected by Sam is given below.

Sam tries to use his spreadsheet to calculate automatically the mean salary, the mean height and the mean age of the employees in his sample.

Sam’s computer gives him an error message for two of these calculations.

Write down the calculation for which there is not an error message. Give a reason why there is an error message for the other two variables.

Explain how the pie chart shows that fish made up the largest proportion of the total pet population of the UK in 2017

_........

The total pet population in the UK in 2017 was estimated to be 54 million.

Calculate an estimate for the number of fish in the total pet population of the UK in 2017

Melanie takes a random sample of 30 pet owners in her town and records the number of pets they each have.

She produced the following table for her results.

For Melanie’s sample, find the upper quartile of the number of pets owned.

Give an interpretation of the value of the upper quartile.

From this sample, Melanie concluded that everyone in her town owns at least 1 pet.

Comment on the validity of Melanie’s conclusion.

The time series graph shows information about the annual inflation rate in the UK each

Quarter and Year (Source: ONS

Describe and interpret the trend in the annual inflation rate from 2015 to 2017

The table gives the annual inflation rate for the first two quarters of 2018

Plot this information on the time series graph.

Show that the first 4-point moving average for the data values in the time series graph is 0.375

Alex wants to use the time series graph to describe the changes in the annual inflation rates.

He subtracts the annual inflation rate of the first data point from the annual inflation rate of the last data point on the time series graph.

Explain whether or not this is an appropriate method for Alex to use.

Cindy works in a library. She recorded the number of books borrowed by each person in a random sample of 20 people who borrowed books from the library one Monday. The table gives information about her results.

Cindy also recorded the number of books borrowed by each person in a random sample of 20 people who borrowed books from the library one Friday. The table gives two summary statistics for her results.

She claims that the mean number of books borrowed from the library on a Monday is greater than the mean number of books borrowed from the library on a Friday. Cindy also claims that there is a smaller spread in the number of books borrowed from the library on a Monday than on a Friday.

Comment on whether each of Cindy’s claims is supported by her results. You must give reasons for your answers.

Suzanne suggests repeating the investigation with a larger number of Mondays and Fridays.

Give a reason why Suzanne’s suggestion may be appropriate.

A presenter wants to get feedback on a lecture that she gave.

There were 467 students at the lecture.

The presenter plans to give a questionnaire to a sample of 50 of these students.

One of the questions on the questionnaire is

Circle the word from the list that best describes the type of data that this question collects.

ordinal bivariate continuous grouped

Describe how the presenter can use a list of random numbers to select a simple random sample of 50 students.

The map below gives information about the percentage change in the number of police officers in each of the 42 different police force regions of England and Wales between 2014 and 2015

Write down the percentage change in the number of police officers in region 17

In how many of the 42 regions did the number of police officers increase?

Sadiq thinks that the map shows that there was a decrease in the overall number of police officers in England and Wales between 2014 and 2015

Explain why Sadiq may not be correct.

Write down the statistical name for the type of map used in this question.

The composite bar chart shows information about the number of new car registrations for the first quarter of 2018 in the UK and in Italy for each fuel type.

(Source: European Automobile Manufacturers Association)

In total, there were more new car registrations in the UK than in Italy.

Work out an estimate for how many more.

Explain why the answer to part (a) is an estimate.

For each fuel type, compare the number of new car registrations in the UK with the number of new car registrations in Italy.

The table below shows the number of alternative fuel new car registrations in the UK for the first quarter of each year from 2015 to 2017

Michael says that the information in the table shows that the total number of alternative fuel new car registrations in the UK for 2015 to 2017 increased each year.

Explain why Michael’s conclusion may not be valid.

It was reported that 3% of the old style £1 coins are fake.

All the other old style £1 coins are genuine.

Shreya has two old style £1 coins.

She does not know if each coin is genuine or fake.

Complete the probability tree diagram.

Show that the probability that both of Shreya’s coins are genuine is 0.9409

Shreya claims that the probability that exactly one of her two coins is fake is less than 6%

Determine whether or not Shreya is correct.

Joel is investigating the heights of buildings in Paris and in London. He collects data on the heights of the tallest buildings in Paris and in London.

Joel decides to remove the height of the tallest building from each of his two data sets before carrying out the investigation.

Suggest a reason why it may be appropriate for Joel to do this.

The cumulative frequency diagram shows information about the heights, in metres, of a sample of 50 of the tallest buildings in Paris.

The box plot shows information about the heights, in metres, of a sample of 50 of the tallest buildings in London.

­ Height (metres)

Compare the distribution of the heights of the tallest buildings in Paris with the distribution of the heights of the tallest buildings in London.

You should give the value of any statistic that you use in your comparisons.