Math Help with Line Graph!!. thank you so much

Question

So, for the y side would it be like: 3.6 (-35D), 4.2 (-25D), 4.8 (-15D), 5.4 (Mean), 6.0 (+15D), 6.6 (+25D), 7.2 (+35D). and will my mean for december be 5.4, and the sd 0.6, and the limit of acceptability be +-25D (4.2-6.6). If so how can i plot those values on the chart?

Answer 1

You might want to try using the following Python code to plot it. Since it's just a draft, it may need some refinement.

import matplotlib.pyplot as plt

import numpy as np

# Data for December

dates = np.arange(1, 32)

qc_results = [

14, 15, 16, 15, 15, 13, 12,

12, 13, 14, 17, 16, 17, 19,

19, 20, 20, 21, 19, 18, 15,

16, 16, 14, 12, 13, 13, 14,

14, 17, 16

]

# November's Relevant Data

mean = 16

sd = 3

# Control Limits

upper_1sd = mean + sd

lower_1sd = mean - sd

upper_2sd = mean + 2*sd

lower_2sd = mean - 2*sd

upper_3sd = mean + 3*sd

lower_3sd = mean - 3*sd

# Plotting the Levey-Jennings Chart

plt.figure(figsize=(10, 6))

plt.plot(dates, qc_results, marker='o', linestyle='-', color='b', label='QC Results')

plt.axhline(y=mean, color='k', linestyle='--', label='Mean (16 mmol/l)')

plt.axhline(y=upper_1sd, color='g', linestyle='--', label='+1 SD (19 mmol/l)')

plt.axhline(y=lower_1sd, color='g', linestyle='--', label='-1 SD (13 mmol/l)')

plt.axhline(y=upper_2sd, color='y', linestyle='--', label='+2 SD (22 mmol/l)')

plt.axhline(y=lower_2sd, color='y', linestyle='--', label='-2 SD (10 mmol/l)')

plt.axhline(y=upper_3sd, color='r', linestyle='--', label='+3 SD (25 mmol/l)')

plt.axhline(y=lower_3sd, color='r', linestyle='--', label='-3 SD (7 mmol/l)')

# Labels and Title

plt.xlabel('December Days')

plt.ylabel('AST QC Results (mmol/l)')

plt.title('Levey-Jennings Chart for AST QC Results - December')

plt.legend()

# Show the plot

plt.show()