We are interested in studying the performance of collegestudents on statistics exams. In any
given semester, there are hundreds of students taking statistics inthe department of psychology,
mathematics, business, or other related departments that offer acourse on statistics. We
randomly select 20 students from the roster of all studentsenrolled in statistics for the spring
semester and administer questionnaires throughout the semester, aswell as collect their
assignment and exam grades. In our first analysis, we areinterested in examining the grades
from all the students on Exam 1 in their course. All exams were outof 100 points. This data is
below:
90 75 67 56 89 88 34 67 95 81 76 69 72 73 79 83 42 53 78 80
1. Draw a frequency distribution of the data. What can youdetermine from this
distribution?
2. What is your dependent variable and what scale of measurement isthis variable?
pt.
3. We collected data from 20 students. Would you consider thesestudents to be a
sample or population? Explain your answer in 1-2 sentences.
4. Is it important to have a normal distribution here? Why or whynot?
5. Is this data skewed? Explain your answer?
6. Calculate the mean, median, and mode for this data.
7. Calculate the variance and standard deviation for this datausing the table below.
Show all of your work.