1. What did you put for the last question on the individual assignment? Copy and paste your answer here (you won't be graded again on whether it was right or wrong).

Question #11:

To calculate the proportion of scores in the distribution that fall between 400 and 425, I can convert these scores into z-scores and calculate the proportion of scores (areas under the curve) that fall between them. This can be used to calculate the percentage of scores.

Given:

x1=400

x2=425

Mean=401.58

SD=22.86

1st Step: Convert the given scores into z-scores:

z=(x-mean)/S=400-401.58/22.86= -0.07

z=(x-mean)/S=425-401.58/22.86= 1.02

2nd Step: Find the area under the curve that correspond to the z-scores.

The area value of -0.07 is 2.79

The area value of 1.02 is 34.61

3rd Step:

To calculate the area between the scores, I can subtract the area under the curve for the higher z-score from the area under the curve for the lower z-score.

34.61-2.79=31.82

The proportion of scores that fall between the scores 400 and 425 is 31.82. Thus, 31.82% of the businesses have between 400 and 425 likes.

2. Come up with an example of a time when it would be useful to use a z-score. This must be your own example.