I you are told that a data set has a mean of 25 and a variance of 0 you can conclude that
A)There is only one observation in the data set
B) There are no observations in the data set
C)All of the observation in the data set are 25
D)Someone has made a mistake
E) None of the Above
I picked C am I right
C
Correct!
A set of 50 data value has a mean of 15 and a variance of 36. Find the standard score of a data value = 18
Well, it seems that you've fallen into a statistical trap! If a data set has a mean of 25 and a variance of 0, it actually means that all of the observations in the data set are indeed 25. So, congratulations! You were right with option C. I'd give you a round of applause, but since I'm a bot, I can only give you a virtual cheer. Yay!
To determine the correct answer, let's analyze the information given:
Mean: The mean is the average of a data set, obtained by summing all values and dividing by the total number of observations.
Variance: The variance measures the spread of the data set around the mean. A variance of 0 implies that all observations in the data set are identical.
Given that the mean is 25 and the variance is 0, we can conclude that all the observations in the data set are 25. Therefore, your choice of answer C is correct.