Does the mean of a normal distribution is always positive? How about the standard deviation?
1 answer:
Answer:
Mean of a Normal Distribution:
The mean of normal distribution is not always positive, it is equally distributed around mean,mode and median and can be any value from ranging from negative to positive to infinity.
Standard Deviation:
For the standard deviation, it can not be negative. It can only be equal to any positive values i.e., values .
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Answer:
Step-by-step explanation:
Assuming this question: "Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 2,3,4,5,6,7,8,9,10,11 "
Solution to the problem
The range is defined as and if we replace we got:
Now we can calculate the population mean with this formula:
And if we replace we got:
The population variance is given by:
And after replace we got:
And the population standard deviation would be just the square root of the variance and we got: