it just tells you that one class is more spread out than the other. look up the definition for standard deviation.
Hey everyone. Starting yesterday, we've started to focus a lot more on central tendency (i.e. mean, median, mode) in my data management class. This is a fun problem the teacher suggested we try for ourselves. I would appreciate if someone could help me on this.
a) Two data management class marks have identical means. However, the standard deviation for each class is significantly different. Describe what these measures tell you about the two classes.
Yeah, I was thinking along the same lines. But what would "spread" out mean in this case? One class has marks all around the mean, while the other is more dispersed with some really high marks and some really low marks (outliers)? and the majority still around the mean?
That's a certain scenario for which there are infinitely many.
For example
The one class has 4 students, they all score 75, 75, 75, 75.
The other class has 0,100,100,100
Or 50, 50, 100, 100
etc... The mean for all 3 is the same but the standard deviation is quite different. It means exactly what DINOCALC09 said, the one data set has more values closer to the mean than the data set with the higher standard deviation.