SOLUTION: find the range,mean,variance, and standard deviation in this data set 14,5,17,2,10,23,19,8,7

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Question 724051: find the range,mean,variance, and standard deviation in this data set 14,5,17,2,10,23,19,8,7

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1). Arithmetic
2). Variance
The variance is calculated as the average squared difference between each number and the mean.
variance =
=
= %2816+%2B+25+%2B+49%2B+64%2B0%2B169%2B81%2B4%2B9%29+%2F++9+
=392%2F9=43.56
The standard deviation is the square root of the variance.
sqrt%2843.56%29=6.6
If a normal distribution, 1 standard deviation from the mean is ±6.6 which means 68% of values should fall between 5.07 and 18.27

range: 2 to 23 =22 (inclusive)