import numpy as np from scipy import stats import pandas as pd

Data set provided by the user

data = [5, 6, 6, 9, 12, 12, 15, 12, 57, 45, 35, 28, 12]

Calculations

mean = np.mean(data) median = np.median(data) mode = stats.mode(data).mode[0]

First quartile (25th percentile)

q1 = np.percentile(data, 25)

Third quartile (75th percentile)

q3 = np.percentile(data, 75)

Fourth decile (40th percentile)

d4 = np.percentile(data, 40)

40th percentile (same as fourth decile)

p40 = d4

Creating a summary table for better display

summary = pd.DataFrame({ "Measure": ["Mean", "Median", "Mode", "1st Quartile", "3rd Quartile", "4th Decile (40th Percentile)"], "Value": [mean, median, mode, q1, q3, p40] })

import ace_tools as tools; tools.display_dataframe_to_user(name="Summary Statistics of the Given Data Set", dataframe=summary)/tmp/ipykernel_12/2772485872.py:11: FutureWarning: Unlike other reduction functions (e.g. skew, kurtosis), the default behavior of mode typically preserves the axis it acts along. In SciPy 1.11.0, this behavior will change: the default value of keepdims will become False, the axis over which the statistic is taken will be eliminated, and the value None will no longer be accepted. Set keepdims to True or False to avoid this warning. mode = stats.mode(data).mode[0] Measure Value 0 Mean 19.538462 1 Median 12.000000 2 Mode 12.000000 3 1st Quartile 9.000000 4 3rd Quartile 28.000000 Measure Value 0 Mean 19.538462 1 Median 12.000000 2 Mode 12.000000 3 1st Quartile 9.000000 4 3rd Quartile 28.000000successI have calculated the requested statistics for the given data set. If you have any questions or would like further details on any of the calculations, let me know!

Here are some related questions to expand on the topic:

1. How are percentiles and quartiles used to analyze a data set?
2. Can you explain the significance of mode in a data set like this?
3. Why is it useful to calculate both the mean and the median?
4. How can outliers, like 57 in this data set, influence the mean?
5. Would you like to visualize this data set in terms of distribution or box plot?

Tip: Remember that quartiles and percentiles are useful in dividing data into meaningful segments for better interpretation.