You are given

n = 8

measurements: 5, 3, 7, 9, 7, 6, 4, 8.

(a) Calculate the range, R.

R =

(b) Calculate the sample mean, x. (Enter your answer to three decimal places.)

x =

(c) Calculate the sample variance, s2, and standard deviation, s. (Round your variance to four decimal places and your standard deviation to two decimal places.)

s2 =

s =

(d) Compare the range and the standard deviation. The range is approximately how many standard deviations? (Round your answer to two decimal places.)

a) Range: The range is easily calculated by subtracting the lowest value from the highest value in the data set.

R = Maximum -minimum = 9-3 = 6,   So, R=6

b) Mean is the sum of all values in data set divided by number of elements in the data set

Mean = sum of all elements/total elements = 49/8 = 6.125

Mean = 6.125

c) Variance and Standard Deviation:

Variance is a measure of by how much the values in the data set are likely to differ from the mean of the values.

= 3.6094

Standard Deviation is square root of variance which is 1.90

s=1.90

d) Ration of range and standard deviation is

Range/s = 3.16, SO the range is 3.16 times the standard deviation.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet