Consider a sample with data values of 10, 20, 12, 17, and 16. compute the z-score for each of the five observations. if required enter negative values as negative numbers (to 2 decimals)

Step-by-step explanation:

z-score is denoted by:

here,

: mean

: standard deviation (or the square root of the variance)

so first we need to find the means of our sample:

Now to find the standard deviation we first need to find the variance of the sample. The variance is the sum of the squares of the differences of each value from the mean.

the standard derviation is simply the square root of the variance!

Now that we all the values for our z-score formula. we can plug it in!

Finally we'll use each value in place of x from our sample into the formula to find the z-score of each value.

We can even display the z-scores in a table: (the x-values are in ascending order)

ranks (& how to earn them):

-beginner (needs at least 0 points & 0 brainliest answers)

- hand (needs at least 100 points & 0 brainliest answers)

-ambitious   (needs at least 250 points & 0 brainliest answers)

-virtuoso (needs at least 500 points & 5 brainliest answers)

-expert   (needs at least 1,000 points & 10 brainliest answers)

-ace (needs at least 3,000 points & 15 brainliest answers)

-genius   (needs at least 15,000 points & 50 brainliest answers)

how to award brainliest:

you must wait until 2 people answer to award brainliest. i'm pretty sure that it should be next to the "" and "comments" buttons.  

answer: (x+2) (x+3) are the binomials for your question : )