Edexcel GCSE Statistics Paper 1 Higher June 2025 question paper 1ST0/1H

Rebecca collected data from the internet about the litter size of wild boar in France and in Italy. The frequency polygons give information about the litter sizes.

(Source: www.academic.oup.com and www.researchgate.net) Rebecca concludes that the average wild boar litter size in France is bigger than in Italy.

Do the frequency polygons support Rebecca’s conclusion? Give a reason for your answer.

Give another comparison of the distributions of the wild boar litter sizes in France and in Italy.

Discuss how the data collection could reduce the reliability of these conclusions.

The choropleth map gives information about the percentage change in the mileage driven in Great Britain for each region from 2020 to 2021

Percentage change in mileage driven in 2020 to 2021

(Source: https://roadtraffic.dft.gov.uk)

The table shows the number of miles driven in London in 2020 and in 2021

Show that London has been shaded correctly on the choropleth map.

Which region had the lowest percentage change in the mileage driven between 2020 and 2021?

Amy concludes that the percentage change in the mileage driven between 2020 and 2021 is the same for Wales and South West England.

Explain why Amy may not be correct.

Tom concludes that the number of motor vehicles using the roads has increased the most in Scotland between 2020 and 2021

Explain whether or not the choropleth map supports this conclusion.

Tsena is researching the ages of Oscar winners.

She has collected data from the internet about the ages of the winners of the Best Actor and Best Actress categories from 2000 to 2022

Data from the internet is an example of secondary data.

Explain what is meant by secondary data.

Here are the ages of the winners of the Best Actor category from 2000 to 2022

40 36 47 29 43 37 38 45 50 48 60 50

39 55 44 32 41 41 59 37 83 53 54 (Source: www.openintro.org and www.oscars.org)

The stem and leaf diagram gives the ages of the winners of the Best Actress category from 2000 to 2022

Complete the stem and leaf diagram with the ages of the winners of the Best Actor category. You should also complete the key.

(Source: www.openintro.org and www.oscars.org)

Work out the median age for the winners of the Best Actress category from 2000 to 2022

Michelle thinks it is more appropriate to use the interquartile range than the range as a measure of spread for these sets of data.

Give a reason why Michelle may think this.

Work out the interquartile range for the winners of the Best Actress category from 2000 to 2022

The table gives information about the ages of the winners of the Best Actor and Best Actress categories before 2000 It also gives information about the ages of the winners of the Best Actor category from 2000 to 2022

Compare the distribution of ages for the winners of the Best Actor category with the distribution of ages for the winners of the Best Actress category. You may use the blank column in the table to record your answers to parts (c) and (e) to help you. You should interpret your comparisons in context.

Agatha is investigating the times taken in the 2022 Olympic Women’s Skiathlon race.

There are two parts to the Skiathlon race. There is a 7.5 km classic stage and a 7.5 km free stage.

Agatha thinks there may be a relationship between the time taken by each skier to complete the classic stage and the time taken by each skier to complete the free stage. She suggests calculating a correlation coefficient to check.

Discuss the appropriateness of this suggestion. You should consider the type of data in your answer.

Agatha found the times taken for the event by all the skiers.

The incomplete histogram and incomplete grouped frequency table give information about the times taken, in minutes, to complete the 7.5 km classic stage of the race.

Use the information in the histogram to complete the table.

Use the information in the table to complete the histogram.

Agatha also drew this histogram for the overall times for the race.

Agatha concludes that the median is in the 50 t ≤ 52 minute time interval.

Does the histogram support Agatha’s conclusion? Show calculations to support your answer.

A ski manufacturer produces wax used on skis.

It has made a new type of wax and wants to find out if using this wax improves the skiers’ times.

Agatha thinks a matched pairs approach should be used to find out if the wax improves the time taken to complete the race.

Agatha suggests matching skiers based on the type of ski that they use and their times in the race. One skier in each pair would use their original wax and the other skier would use the new wax.

Comment on the appropriateness of this suggestion. Give a reason for your answer.

A council wants to encourage people to use the council leisure centres. The council has put advertisements in the town centres to tell people about the opening times and the available facilities in the leisure centres.

Nico has been asked to find out if the advertising has been successful. He plans to use cluster sampling where the clusters are customers at each leisure centre. For the selected clusters he will ask the customers to complete a questionnaire about the advertisements.

Comment on the suitability of Nico’s plan for sampling in this context.

Keti suggests that they should do a pilot study before they give out the questionnaire.

Give a reason why it is appropriate to do a pilot study.

The council also gave a voucher for one free admission to every child in the county.

The council thinks that some people have collected and used more than one of the free admission vouchers per child. Nico is going to include a question about this on the questionnaire. He thinks that he should use the random response technique.

Explain why it is appropriate to use the random response technique in this context.

Design a random response question that Nico could use on the questionnaire in order to collect this information.

Nico wants to find out if the number of people using the leisure centres increased after the advertisements and vouchers started a month ago.

He would also like to predict the number of people likely to use the leisure centres in the future.

Here is the plan for his investigation.

Discuss whether Nico’s plans for collecting, processing and presenting data are appropriate.

Researchers wanted to know what kind of reduced‑fat cheese that customers liked best.

They asked customers to rate 10 different cheeses and calculated an average score for ‘Overall liking’.

The table gives information about some of their data.

Calculate Spearman’s rank correlation coefficient between the ‘customer overall liking’ scores and the ‘yellowness of cheese’ scores.

The researchers calculated Spearman’s rank correlation coefficients between ‘customer overall liking’ scores and other characteristics of the cheeses.

In each case rank 1 represented the highest level of that quality.

The table gives some of their results.

Interpret in context the correlation for the characteristic that is most closely related to ‘customer overall liking’ scores.

The rankings for the characteristics ‘pleasantness of mouth feel’ and ‘customer overall liking’ were in perfect agreement.

Write down the Spearman’s rank correlation coefficient for the correlation between ‘pleasantness of mouth feel’ and ‘customer overall liking’.

The Petersen capture recapture method was used to estimate the number of black bears in Pennsylvania in 2018

A group of researchers took into account the number of bears that died between initial tagging and the recapture.

A bear is considered to have a current tag if it was tagged in the previous year. Taking into account the bears that died, the number of black bears with current tags available to be captured in 2018 was 690 During the year 2018, the number of black bears captured was 2017 of which 73 had a current tag.

(Source: www.pgc.pa.gov)

Calculate an estimate for the number of black bears in Pennsylvania in 2018

The researchers only considered a black bear to have a current tag during the second capture if it was tagged in the previous year.

Explain the effect on your estimate in part (a) if they did not do this and instead included all tags. You should give a reason for your answer.

The approach used by the researchers considered the issues around tag loss.

Give one other assumption of the Petersen capture recapture method that they should have considered in their research.

David collected data on the times, in hours, taken for men to complete the Ironman Canada 2022 race and the Ironman UK 2022 race.

These graphs and summary statistics were produced for this data using statistical software.

Mean
13.53 Median
13.49 Number of male competitors 992

Standard deviation 1.839 Skewness 0.0653

Mean
13.98 Median
14.12 Number of male competitors 1128

Standard deviation 1.489 Skewness –0.282

(Source: www.coachcox.co.uk)

Show that there are no outliers in the times for the Ironman Canada 2022 men’s results.

Compare, in context, the distribution of the Ironman Canada 2022 men’s results with the distribution of the Ironman UK 2022 men’s results.

Dan competed in the Ironman Canada 2022 race.

Here is information about the performance of all male competitors in the swim, bike and run stages of the race, and some of Dan’s standardised scores.

Dan took 5.64 hours to complete the run.

Use standardised scores to compare Dan’s performances relative to the other competitors in each stage of the race. Give reasons for your comparisons.

A company sells furniture.

The company has a telephone number that customers can use if they want to complain. At the end of the call customers are asked if they are satisfied or not.

Originally the company had one call centre, Call centre A. The company now has another call centre, Call centre B.

Since Call centre B opened,

• when a call is answered the probability that it is answered by Call centre A is 0.6

• of those calls answered by Call centre A, 70% result in a customer being ‘satisfied’

• the probability of a call answered by Call centre B resulting in a customer being ‘satisfied’ is p

A call is picked at random.

Complete the probability tree diagram for this call.

Given that a customer is ‘satisfied’ the probability that the call was answered by Call centre B is 0.3

Find the probability of a call answered by Call centre B leading to a customer being satisfied.

The company sells tables that customers have to put together.

A table needs 4 connectors to hold it together. A bag of 4 connectors is supplied with each table.

The company previously bought the connectors from QuickC. The probability of a QuickC connector failing is 0.05 Connectors fail independently of each other.

A customer buys a table.

Work out the probability that the customer will need one or more replacement connectors because of the failure of QuickC connectors.

The company now buys the connectors from KlickT. The probability of a KlickT connector failing is 0.16

Dina thinks that putting two more connectors in the pack would reduce the probability that a customer will need one or more replacement connectors to less than it was when QuickC connectors were used.

Is Dina correct? You must show your working.