Please help with this question, THANK YOU in advance. A line should be over the top of both X’s.


In an English class last semester, Foofy earned a 76 (X = 85, Sx = 10). Her
friend, Bubbles, in a different class, earned a 60 (X=50, Sx = 4). Should Foofy
be bragging about how much better she did? Why?

Z = (score-mean)/SD

Calculate the Z scores and compare.

To determine whether Foofy should be bragging about how much better she did compared to Bubbles, we need to compare their scores using standard deviation.

Standard deviation is a measure of how much the scores in a data set vary from the mean (or average) score. A higher standard deviation indicates greater variation in the data set, meaning that there is more disparity among the scores.

In this case, we have the following information:
Foofy's score: X = 76, Sx = 10
Bubbles' score: X = 60, Sx = 4

To calculate if Foofy should be bragging, we need to see if her score deviates significantly from Bubbles' score.

1. Calculate the Z-Scores:
A Z-Score tells us how many standard deviations a score is from the mean. We can calculate the Z-Scores for both Foofy and Bubbles using the formula:
Z = (X - mean) / standard deviation

For Foofy:
Z- Score = (76 - 85) / 10 = -0.9

For Bubbles:
Z-Score = (60 - 50) / 4 = 2.5

2. Interpret the Z-Scores:
Z-Scores indicate the number of standard deviations away from the mean a score is. A Z-Score of 0 represents the mean, while positive and negative Z-Scores represent scores above and below the mean, respectively.

In this case, Foofy's Z-Score is -0.9, meaning her score is 0.9 standard deviations below the mean. Bubbles' Z-Score is 2.5, suggesting her score is 2.5 standard deviations above the mean.

3. Compare the Z-Scores:
Based on the Z-Scores, we can conclude that Bubbles' score is higher than Foofy's score. Bubbles' score is 2.5 standard deviations above the mean, while Foofy's score is 0.9 standard deviations below the mean.

Therefore, Foofy should not be bragging about doing better than Bubbles. Bubbles' score is significantly higher, indicating better performance in her class compared to Foofy.