In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.

4, 13, 5, 14, 10
(a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.)

(b) Add 3 to each data value to get the new data set 7, 16, 8, 17, 13. Compute s. (Enter your answer to one decimal place.)

a) s = 4.6

b) s = 4.6

Step-by-step explanation:

We are given the following in he question:

a) 4, 13, 5, 14, 10

We have to calculate sample standard deviation.

Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences = 82.8

b) Adding three to each observation

7, 16, 8, 17, 13

Sum of squares of differences = 82.8

Thus, the two standard deviation are same.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130