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Exercise Set #1

Exercise Set #1

FIZ228 - Numerical Analysis
Dr. Emre S. Tasci, Hacettepe University

1

Import the meteorological data (01_meteoblue_Basel_20230303T060433.csv) as a pandas dataframe (if you can’t readily access the course webpage, you can also download it from the meteoblue site with the date range being 1/1/2022 - 3/3/2023 and the parameters set to those you’ll need for this example ;).

Then:

  • Calculate the average daily temperature on February, 5th, 2022

  • Find the most cloudy day in January 2022

  • Find the most cloudy hour in January 2022

  • Find the most sunny day, calculate the total radiation energy received in 2002

2

Draw 1000 samples from a Gaussian (normal) distribution with \(\mu = 10\), \(\sigma = 1.2\)

  • Calculate the mean and standard deviation of the samples.

  • Plot its histogram for 10 bins (you can use either matplotlib.pyplot or seaborn).
    Hint: You can have the bin positions defined as the average of the left and right boundary of each bin Exercises_01_histgraph.png

  • Define a pandas dataframe such that it has three columns:

    • bin_pos : bin position

    • bin_count : count of the samples per each bin

    • bin_dist : its distance to the mean

  • Using seaborn, plot the dataframe data such that the horizontal axis is the bin_pos, the vertical axis is the bin_count and the points’ sizes change with respect to bin_dist. Exercises_01_histgraph_with_size.png

    • Challenge: try to modify the graph such that the points closer to the mean are displayed bigger in size, while the dots are connected by a line Exercises_01_histgraph_with_invsize.png

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