Edexcel GCSE Statistics Paper 2 Foundation June 2022 question paper 1ST0/2F

For a survey, Kayleigh counted the number of people in each of the 20 cars that arrived at her office car park one morning.

Here are her results.

Fill in the tally chart for this information and complete the frequency column.

Write down the mode.

At Kayleigh’s office there is a scheme to reduce the number of cars arriving at the office car park which have only 1 person in the car.

Kayleigh concludes from her survey that the scheme is not working.

Explain whether or not Kayleigh’s results support her conclusion.

John suggests that Kayleigh’s results are not suitable for her to reach a reliable conclusion.

Give one reason why John may be correct.

The table shows information about the results of a survey into ‘Charitable Giving and Social Activity’ over a four week period.

For example, 40% of all of those surveyed said that they had donated money to charity, but for 16 – 24 year olds this was only 26%

Some people in the survey said that they took part in more than one of the given activities.

7% of those aged 16 – 24 took part in one of the activities.

Which activity?

Of those who Volunteered for a charity, which age group had the greatest percentage?

One of the people surveyed is selected at random. This person had Bought an ethical product.

Describe the most likely gender and age group for this person.

Describe the relationship suggested by the data between age and having Given goods to charity.

Laura is going to do a Sponsored bike ride for charity.

She uses the information in the table to suggest that more than half the people who sponsor her will be female.

Explain how the information in the table supports this suggestion.

The following four sentences are about different events.

A The likelihood of an event is evens.

B An event is certain to happen.

C When a fair dice numbered 1 to 6 is rolled, it lands on a number greater than 2

D The next birthday of a person picked at random is on a Monday.

The number line below has arrows marking five probabilities.

Write the letter for each event on the arrow that is in the best position to show the probability of each of the four events.

Eddie has a biased coin.

He wants to find an estimate for the probability that when he throws the coin it will land Heads.

Explain briefly how he could do this.

Nikola asks 50 male and 50 female drivers arriving at a car park if the type of car they are driving is petrol, diesel or electric.

The two-way table shows some information about her results.

Complete the two-way table.

Nikola wants to compare her results for male drivers with her results for female drivers. To do this she uses the information she collected to draw the two pie charts shown below.

Work out the angle for electric cars in the pie chart for male drivers. You must show the calculation.

Nikola told Seb how she collected her data. She then gave Seb a copy of each of her two pie charts and asked him to tell her what they showed. Seb used the pie charts to reach the following conclusions.

The most common type of car is diesel.

Males are more likely than females to be drivers of electric cars.

Use the information in the pie charts to assess Seb’s two conclusions. You should also consider how Nikola’s data collection method affects the reliability of Seb’s conclusions.

Explain what is meant by a simple random sample.

The manager of a health centre is reviewing the amount of time allowed for each patient to be seen by a doctor.

The manager wants to get the opinions of the people registered at the health centre.

She plans to give a questionnaire to each patient who has an appointment with a doctor next Monday. She wants each patient to complete the questionnaire at home and return the completed questionnaire to the health centre.

Assess the manager’s plan to get the opinions of the people registered at the health centre.

Here is an open question that the manager is considering for her questionnaire.

What do you think about the 5 minutes currently allowed for appointments?

This is not a good question.

Give one reason why.

Design a suitable closed question for the manager to use on her questionnaire so that she can decide how long should be allowed for each patient to be seen by a doctor.

When the manager has designed her questionnaire, she decides to pre-test it by using a pilot survey with a small sample of patients.

From the five options below, tick (✓) the three that are the best reasons for the manager to pre-test her questionnaire in this way.

A garden centre has a register of 400 loyalty card members. The owner of the garden centre wants to find out information about the distribution of the amount of money spent by each loyalty card member on each visit to the garden centre.

The owner decides on the following plan.

• Record the amount of money spent by each of the first 50 customers to the garden centre on Monday morning.

• Draw a bar chart for the amounts of money spent.

• Find the mean of the amounts of money spent.

Discuss whether the manager’s plan is likely to be effective.

You should comment on both the collection of data and on the analysis of results.

Where appropriate you should suggest improvements to the plan.

On her drive to work Hinata passes through two sets of traffic lights. The traffic lights work independently.

On any day that Hinata drives to work the probability that she has to stop at the first set of traffic lights is 0.6 the probability that she has to stop at the second set of traffic lights is 0.5

Complete the probability tree diagram for this information.

Find the probability that Hinata does not have to stop at the first set of traffic lights and does not have to stop at the second set of traffic lights on her way to work.

Each week, Hinata drives to work on 5 days.

She says that she can expect to drive to work without having to stop at either set of traffic lights on exactly one day of the week.

Is Hinata correct?

You must show how you get your answer.

The table gives the populations, in thousands, and the crude birth rates for two regions of the United Kingdom in 2016

The table also gives the population, in thousands, of the United Kingdom in 2016

(Source: Office for National Statistics)

In 2016 the number of births in the United Kingdom was 774 835

Using the formula above, work out the crude birth rate for the United Kingdom in 2016 Give your answer correct to one decimal place and write your answer in the table.

Work out the number of births in Cumbria in 2016

Stephen says that without doing any calculations he knows there were more births in Norfolk than in Cumbria, in 2016

Using the information in the table, explain why Stephen is correct.

The table gives, for the Isle of Skye, the number of days with rainfall during the 30 days of April 2019 and during the 30 days of June 2019

Use the information in the table to find the absolute risk of rainfall for a day in April.

Use the information in the table to work out an estimate for the relative risk of rainfall for any June day compared with any April day.

Glen plans to visit the Isle of Skye next year, in either June or July.

The relative risk of rainfall for any July day compared with any June day is 0.8

He does not want it to rain when he visits.

Glen decides to go in July instead of June.

Explain how the relative risk of 0.8 could be used to justify Glen’s decision.

Bill investigated the heights of females competing in different sports.

Using data from the internet, he recorded the height, in cm, of each female in a sample of 15 female rugby players and the height, in cm, of each female in a sample of 15 female basketball players.

He drew the box plot below for the recorded heights of the 15 female basketball players.

(Source: englandrugby.com, gbbasketball.com)

The table gives information about the recorded heights of the 15 female rugby players.

Using the information in the table, draw on the grid above a box plot for the recorded heights of the 15 female rugby players.

Compare the two distributions of heights. Give three comparisons and interpret one of your comparisons.

Considering the method that Bill used to collect his data, comment on the reliability of your comparisons in part (b).

Irina is investigating whether the percentage of the population of a country living in urban areas has an effect on the life expectancy in that country.

Suggest a hypothesis Irina could use for her investigation.

Irina collected the following information about 10 countries.

The Urban population (%) refers to the percentage of the population of the country who live in urban areas.

Irina used statistical software to draw a scatter diagram for the information in the table.

Give a reason why a scatter diagram is an appropriate diagram to use.

For this investigation, which variable is the explanatory variable? Give a reason for your answer.

The scatter diagram from the statistical software is shown below.

Explain, giving a statistical reason, whether or not this scatter diagram supports your hypothesis in part (a).

For these 10 countries, the double mean point of the data is (63.9, 77.8).

Using this information, draw a line of best fit on the scatter diagram.

Using statistical software, Irina finds that the gradient of the line of best fit should be 0.19

Interpret the gradient of the line of best fit.

Irina now finds that South Africa has Urban population 65% and Life expectancy 63 years.

Determine how this information for South Africa fits with the relationship shown in the scatter diagram for the other countries.

The table shows the index number for the average cost of a package holiday for 2018 and for 2019, using 2015 as base year.

(Source: Office for National Statistics)

A family spent a total of £4650 on a package holiday in 2015

Work out an estimate for the cost of the same holiday in 2018

Thomas does the following calculation to reach a conclusion about the cost of package holidays.

Is Thomas correct? Give reasons for your answer.