The following data give the prices of seven textbooks randomly selected from a university bookstore. $93 $173 $107 $125 $56 $163 $144 a. Find the mean for these data. Calculate the deviations of the data values from the mean. Is the sum of these deviations zero? Mean = $ 123 Deviation from the mean for $173 = $ 0 Sum of these deviations = $ -433 b. Calculate the range, variance, and standard deviation. [Round your answers to 2 decimal places.] Range = $ Variance = Standard deviation = $ Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT

Mean = $123

Standard deviation = 10190

Variance = 1698

Step-by-step explanation:

Mean=?

      = sum of all numbers/ Total numbers

    a  =  93+173+107+125+56+163+144 / 7  = 861/7 = $123

Standard deviation=?

we know that = Sqareroot [ Sum (y)²] / N

we need deviation:

=    x-a         =  y   ;    y²                

  = 93-123 = -30  ;   900

   =173-123 = 50  ;    2500

  =107-123  =  -16 ;   256

   =125-123  = 2   ;    4

   =56-123   =  -67 ;   4489

   =163-123  =  40  ;   1600

   =144-123   =  21   ;   441

Sum of y²            =   10190.

  = Square root [  10190 / 7 ]

  =  38.1

Variance = ?

        = Sum ( y)² / N-1

        =  10190 / ( 7-1)

       = 10190 /6

     = 1698

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

what do u need to know

step-by-step explanation: