Can someone explain this I'm on the verge of tears xx
#Stats
humble echo
lucid garden
If you're familiar with what the mean and the standard deviation measure, basically the mean measures where the average is (sorry to state the obvious) That means that if you increase all the scores by adding to them, the mean is going to change with it. However a standard deviation measures how spread out the data is. If every data point gets added to, they aren't going to get more or less spread out, in fact how spread they are remains the same. But if they are all multiplied by a value, then for the mean obviously it'll get bigger, and for the standard deviation the spread will increase for larger data values since there is just a bigger difference between them now
Hopefully that explanation helped you to understand this which allows you to remember this
^^From page 33 in the textbook
If you're unsure how to do it from here then :
||y = 1.4x - 20 -> x = (y+20)/1.4. From the formula, the mean of x is then 60.8+20/1.4 =57.7. The standard deviation is 6.60 / 1.4 = 4.71 (2dp)||