PHAS0051: Data Analysis Problem

PHAS0051: Data Analysis Problem Sheet 2024/25

Page 1PHAS0051 Data Analysis Problem Sheet 2024/25Four questions totalling 42 marksSubmission deadline 5pm, Monday 21st October.SoRA submission deadline 5pm, Wednesday 30th October.Submission via Turnitin assignment links on PHAS0051 Moodle page->Assessment tab.

Please make sure you convert all files to pdf before submitting and check thatyour file is readable.You may use spread sheets or programs in the calculations, but you should explain yourworkings briefly (including equations used). If you are using Python then add clear text

comments to your answer and submit a pdf not an executable program. An Excelspreadsheet is a convenient method for χ 2 calculations (use Solver for minimising).A useful resource for answering the problem sheet is the book “Measurements and their

Uncertainties” by Hughes and Hase, (See Chapter 8 for hypothesis testing and degrees offreedom). An e-book link is available on the PHAS0051 Moodle overview pagePlease make sure you read each question fully including any footnotes

See the UCL Academic Manual for late submission penalties.The use of AI is prohibited.PHAS0051: Data Analysis Problem Sheet 2024/25 NN1/10/2024Page 2

1. Mean, Variance, Standard Deviation, Standard Error on the Mean and Confidence Limits[10 Marks]UK climate records are held at the Met Office and are available at the following website:http://www.metoffice.gov.uk/public/weather/climate-historic/#?tab=climateHistoricData has been taken from this website and is presented in appendix I. The data refers to tmin(C), tmax(C), amount of rain (mm) and sunlight (hours) for the month of August, dating from1911-2023 for the station Bradford.

1. From this data set calculate separately the mean, variance, standard deviation andstandard error on the mean for both tmaxand tminover the period 1911-2022. [3]Estimate the 60% and 90% confidence limits for tmaxand tminfor the period 1911-Assume the distributions are Gaussian.[3]

1. By considering tmax

and tminfor the periods 1911-1922 and 1995-2022, discusswhether there is evidence of global warming in Bradford.[4]

2. Linear fit and
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   From： https://www.cnblogs.com/comp9313/p/18472933