Linear Transformations (in a Descriptive Statistics Setting)

I discuss linear transformations, in the context of descriptive statistics. I discuss what a linear transformation is, give an example, discuss the effect of the linear transformation on various summary statistics, and work through a numerical example.
The temperature data is from here:
climate.weathe...
(The original data was given in Celsius, but I converted it to Fahrenheit for use in this video.)
0:00 Introduction and example
1:36 Illustration of the effect of the additive constant on measures of central tendency and variability.
3:58 Illustration of the effect of the multiplicative constant on measures of central tendency and variability.
6:52 Formulas for the new mean, standard deviation, and variance after the linear transformation.
7:50 A numerical example of the effect of a linear transformation on the mean, median, standard deviation, and variance (converting temperatures from Fahrenheit to Celsius).
R code to calculate the mean and standard deviation for the examples:
mean(c(3,4,5))
[1] 4
sd(c(3,4,5))
[1] 1

[@andyl.5998]

It's great to see that Prof. Balka is uploading new videos again!

[@satishpanchal2540]

Such a great Video. I loved the explanation. Please make more such videos

[@jbstatistics]

Thanks for the kind words!

[@cococnk388]

Great teachings

[@stayinthepursuit8427]

Nice, you're back! can you also make something on similar transformations, thanks

[@avawilson7525]

Fantastic video, super helpful to understanding!!!

[@jbstatistics]

Thanks! I'm glad I could help!

[@mdmahmudhasan1645]

Very basic topic , nice explanation

[@kamzzaa7265]

Gold

[@codyzheng8838]

very useful!