Given a mean of 7.6 and a standard deviation of 3.1, within how many standard deviations of the mean do the values 10, 9, 11, 5, and 3 fall?

The z-score value of the data is -0.838.

Step-by-step explanation:

Given : A mean of 7.6 and a standard deviation of 3.1.

To find : How many standard deviations of the mean do the values 10, 9, 11, 5, and 3 fall?

Solution :

Mean

Standard deviation

Values 10, 9, 11, 5, and 3 i.e. x=5

The z-score value for x=5 is given by

The z-score value of the data is -0.838.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph