If a distribution of test scores is normal with a mean of 78 and a standard deviation of 11, calculate the z-score for the following scores x z-score 60 70 80 90 60 65 70 80 99 89 75 make sure to round up your answers to two digits after the decimal point.

Step-by-step explanation:

As we know z- score is defined by the formula

Mean of the scores is given as 78 and standard deviation 11.

Now for x = 60

For x = 70

=-0.73

For x = 80

z = 0.18

For x = 90

z = 1.09

For x = 60

z = -1.64

For x = 65

z = -1.18

For x = 70

z = -0.73

For x = 80

z = 0.18

For x = 99

z = 1.91

For x = 89

z = 1

For x = 75

z = -0.27

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest