How is s calculated for the t-distribution?

[Musab_Bin_Gulfam]

I don’t get how the s value (3.113) is calculated. Moreover is it S or s?

Thanks in advance.

[Alireza_Saei]

Hi @Musab_Bin_Gulfam

The s value, is the sample standard deviation, and is calculated using the formula:

s = \sqrt{\frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x})^2}

n : sample size
x_i : individual sample observations
\bar{x} : sample mean.

Here, n = 10 , \bar{x} = 68.442 , and the individual heights would be used to compute the sum of squared differences from the mean, then divided by n-1 (9) and the square root is taken to get s .

Hope this helps, feel free to ask if you need further assistance!

[Musab_Bin_Gulfam]

This definietly solved my problem. Now i recall, this was thaught in the previous lecture, my bad.

Thank you very much.

[Alireza_Saei]

You’re welcome! Happy to help