Question

using python
Type:

pip3 install matplotlib

This installs the matplotlib and you should be able to run the code listed below in line_graph_example.py. The original x_coords list had n+1 entries where n = 4. Make a new x_coords list have 2*n +1 elements [0, 1, ..., 2*n] and augment the y_coords by adding (using insert) a new value between any two old elements. The new value should be the (average of neighbors +1). Then plot the new data.

Line graph example code:

# This program displays a simple line graph.
import matplotlib.pyplot as plt

# Create lists with the X and Y coordinates of each data point.
x_coords = [0, 1, 2, 3, 4]
y_coords = [0, 3, 1, 5, 2]

# Build the line graph.
plt.plot(x_coords, y_coords)

# Display the line graph.
plt.show()

Answer 1

CODE:

import matplotlib.pyplot as plt

# Create lists with the X and Y coordinates of each data point.
# length of list
n = 4
# using range to populate a list from 0 to 2n
x_coords = list(range(0, 2 * n + 1))
# given y co-ordinates
y_coords = [0, 3, 1, 5, 2]
# to insert average of 2 old number in the between the numbers
for i in range(0, len(y_coords)+2, 2):
    # calculate average
    avg = (y_coords[i] + y_coords[i + 1]) / 2
    # insert average at index i+1 which is in between 2 old numbers
    y_coords.insert(i + 1, avg)

print(y_coords)

# Build the line graph.
plt.plot(x_coords, y_coords)

# Display the line graph.
plt.show()

OUTPUT:

Proof of work:

y_coords before execution: [0, 3, 1, 5, 2]

y_coords after execution: [0, 1.5, 3, 2.0, 1, 3.0, 5, 3.5, 2]

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