import Image import pytesseract

Load the uploaded image

image_path = "/mnt/data/1732712081668vf2acwxa.jpg" text = pytesseract.image_to_string(Image.open(image_path))

textThe text extraction from the image failed. However, based on the visible problem in the image you provided, I can manually analyze it. Let's solve the following:

Problem:

1. The data provided is: $108, 72, 81, 135, 45, 27, 63, 90, 108, 45$

2. Tasks:

   • (a) Calculate the mean of the data.
   • (b) Calculate the variance of the data.
   • (c) Calculate the standard deviation of the data.

I will calculate these now. numpy as np

Data from the image

data = [108, 72, 81, 135, 45, 27, 63, 90, 108, 45]

Calculations

mean = np.mean(data) variance = np.var(data, ddof=0) # Population variance std_dev = np.sqrt(variance)

mean, variance, std_devHere are the calculations based on the data:

1. Mean (a): $77.40$
2. Variance (b): $1023.84$ (rounded to four decimal places during intermediate calculations)
3. Standard Deviation (c): $32.00$

Would you like me to explain any of these calculations in detail?

Related Questions:

1. How is the mean calculated, and why is it important in statistics?
2. What is the difference between population and sample variance?
3. How does variance differ from standard deviation conceptually?
4. What are common applications of standard deviation in real-world contexts?
5. How would results change if outliers were present in the dataset?

Tip:

Always verify whether you are calculating population or sample statistics, as the formula for variance and standard deviation differs slightly.