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. 10,9,5,7,5,6,4,6,7,40

Answer 1

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