# NumPy Integration with SciPy: Exercises, Practice and Solutions

## NumPy Integration with SciPy [ 19 exercises with solution]

The following exercises will help you learn NumPy integration with SciPy. These exercises include statistical analysis, Fourier transforms, linear algebra, interpolation, signal processing, and more.

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1. Write a NumPy program that creates a NumPy array of random numbers and uses SciPy to compute the statistical properties (mean, median, variance) of the array.
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2. Write a NumPy program to generate a 2D array and performs a discrete Fourier transform using SciPy's fftpack module.
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3. Write a NumPy program that creates a NumPy array and uses SciPy to solve a linear algebra problem. For example, finding the determinant, inverse, and eigenvalues of a matrix.
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4. Write a NumPy program to generate a set of data points using NumPy and perform interpolation using SciPy's interpolate module.
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5. Write a NumPy program to create a time series dataset and apply SciPy's signal processing functions to filter the data.
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6. Write a NumPy program to create a set of sample data and fit a curve using SciPy's curve_fit function.
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7. Write a NumPy program to generate random samples and perform a hypothesis test using SciPy's stats module.
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8. Write a Numpy program to create a NumPy array and use SciPy to solve a system of ordinary differential equations (ODEs).
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9. Write a Numpy program to generate a 3D dataset and perform multidimensional scaling (MDS) using SciPy.
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10. Write a NumPy program to create a large sparse matrix and perform sparse matrix operations using SciPy's sparse module.
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11. Write a NumPy program to generate random data and perform clustering using SciPy's hierarchical clustering methods.
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12. Write a NumPy program to create a dataset and compute various distance metrics (Euclidean, Manhattan, etc.) using SciPy.
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13. Write a NumPy program to rename the 'height' field to 'stature' in the structured array with fields for 'name' (string), 'age' (integer), and 'height' (float).
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14. Write a NumPy program to generate a set of points and perform optimization using SciPy's optimize module to find the minimum of a function..
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15. Write a NumPy program to create a NumPy array and use SciPy's ndimage module to perform image processing tasks, such as filtering and edge detection.
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16. Write a NumPy program to generate synthetic data using NumPy and apply SciPy's stats module to perform various statistical tests (t-test, chi-square test).
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17. Write a NumPy program to create a 2D grid of data points and solve a partial differential equation (PDE) using SciPy's integrated module.
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18. Write a Numpy program to generate a dataset and perform SciPy's ndimage geometric transformations (rotation, shift, zoom).
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19. Write a NumPy program to generate a set of data and fit a statistical model using SciPy's optimize module for maximum likelihood estimation (MLE).
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