In: Statistics and Probability
Sam Suffolk is a student in MAT103 at SCCC. Sam has data from a random sample of 20 students that represents how many miles (rounded to the nearest whole mile) each student lives from the SCCC Ammerman campus. Sam organizes this data in the following frequency distribution table. Look at the table carefully and answer the questions that follow.
Distance |
frequency |
0 - 10 |
8 |
10 - 19 |
5 |
20 - 29 |
3 |
30 - 49 |
5 |
50 - 59 |
2 |
Sam made two mistakes when creating the classes for this table. Assuming Sam's frequencies are correct, despite the errors in the class limits, answer each of the following.
Note: The first two lower class limits are correct.
(a) Identify Sam's mistakes.
(b) Can we determine how many students live 10 miles from the campus? If so, how many? If not, why not?
(c) Give an estimate of the number of students in the sample that live more than 25 miles from the campus. If more than one frequency is possible, state all possible values.