4. There are 100 students taking an amazing stats class at SFSU. The instructor assigns a very easy quiz that is up to 10 points. The instructor has the great idea of making a histogram out of the 100 scores to analyze the performance of the students. a. What type (shape) of histogram resulted out of the scores of the very easy quiz?

b. What is the possible mean of the scores? 4.5 or 9?

c. The histogram shows that 2 out of the 100 students, got a score of 1 L. They
didn’t even know their names! Please describe how would you use the Median
and Interquartile (IQR) Method to determine whether the 2 students are outliers.

d. What are the 5 numbers that the instructor needs to find to create a box-plot?

e. After making the box-plot, the length of the actual box ended up being very small. What can the instructor conclude about the spread of this data?

f. What would be the sign of the skewness?