Let me extract the numerical data from the image and calculate the sample mean and standard deviation. One moment, please! PIL import Image import pytesseract

Load the uploaded image

image_path = "/mnt/data/17368807383235bgzfwec.jpg" img = Image.open(image_path)

Use OCR to extract the text

extracted_text = pytesseract.image_to_string(img)

Display the extracted text

extracted_textThe extracted text from the image is as follows:

3.59 3.59 4.79 3.56 3.55 3.71 3.65 3.60 3.75 3.56
3.57 3.59 3.55 3.99 4.15 3.66 3.63 3.73 3.61 3.57

Let me clean the data and compute the sample mean and standard deviation. numpy as np

Clean and parse the extracted data into a numerical array

data = [ 3.59, 3.59, 4.79, 3.56, 3.55, 3.71, 3.65, 3.60, 3.75, 3.56, 3.57, 3.59, 3.55, 3.99, 4.15, 3.66, 3.63, 3.73, 3.61, 3.57 ]

Calculate the sample mean and standard deviation

sample_mean = np.mean(data) sample_std = np.std(data, ddof=1) # Using ddof=1 for sample standard deviation

sample_mean, sample_stdThe sample mean and standard deviation of the given data are as follows:

• Sample Mean: $3.72$
• Sample Standard Deviation: $0.295$

Would you like me to provide detailed steps for these calculations or clarify anything further?

Related Questions:

1. How do you calculate the variance from this dataset?
2. What is the difference between population and sample standard deviation?
3. How would the mean and standard deviation change if an outlier was present?
4. Can this data be used to calculate a confidence interval? If so, how?
5. How do the mean and standard deviation help in understanding the data distribution?

Tip:

When calculating the sample standard deviation, always set $\text{ddof} = 1$ to account for the degrees of freedom in the sample.