Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find the z-score corresponding to an observed value of x of 2.

Step-by-step explanation:

Given

x: -3 -1 0 1 1 2 4 4 5

n = 9

Required

Determine the z-score x = 2

z score is calculated by

First, we need to calculate the mean

Mean = \frac{-3- 1 + 0 + 1 + 1 + 2 + 4 + 4 +5}{n}

Next is to calculate the standard deviation

Substitute these values in

Where x = 2

Hence, the z score of x = 2 is o.228

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490