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scoundrel [369]
3 years ago
13

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to o

ne more decimal place than the largest number of decimal places given in the data. 10,9,5,7,5,6,4,6,7,40
Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

Range: 36

Variance: 103.69

Standard Deviation: 10.18282868

Step-by-step explanation:

Because we were not told otherwise I think it would be fair to say that everything has an equal probability

Let's start by finding the range

the range is the largest value minus the smallest

40-4=36

Let's then find the variance

the variance is the second moment minus the first moment squared

first moment: .1(10+9+5+7+5+6+4+6+7+40)= 9.9

second moment: .1(10²+9²+5²+7²+5²+6²+4²+6²+7²+40²)= 201.7

201.7-9.9²= 103.69

The standard deviation is simply just the square root of the variance

√(103.69)= 10.18282868

not sure what they meant by the rounding part so I'll leave that to you

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