Project One
Traditional College Student Stress Scale
The life of a college student can be stressful. To gain an understanding of the stress level of college students a study was conducted. A random sample of 100 undergraduate college students attending a University on ground were given the attached “Traditional College Student Stress Scale.” They were not asked to return the form but only to anonymously submit the total score along with their age.
Student Scores |
Age |
1299 |
21 |
1530 |
25 |
1449 |
18 |
1316 |
19 |
1613 |
19 |
1651 |
22 |
262 |
24 |
1258 |
23 |
829 |
25 |
718 |
21 |
1146 |
22 |
393 |
24 |
2279 |
18 |
1275 |
22 |
1093 |
22 |
543 |
23 |
2509 |
18 |
2144 |
25 |
1763 |
24 |
2179 |
22 |
1480 |
18 |
2233 |
18 |
1641 |
24 |
2407 |
18 |
2293 |
19 |
2218 |
19 |
529 |
21 |
1243 |
19 |
801 |
22 |
997 |
20 |
1892 |
21 |
2224 |
22 |
2056 |
21 |
2098 |
20 |
1428 |
24 |
2047 |
25 |
618 |
23 |
1774 |
22 |
2215 |
23 |
2432 |
21 |
196 |
22 |
1767 |
21 |
2149 |
19 |
914 |
21 |
1808 |
23 |
2423 |
22 |
1662 |
19 |
1795 |
22 |
312 |
21 |
949 |
23 |
854 |
23 |
2132 |
19 |
383 |
22 |
231 |
21 |
1897 |
18 |
2559 |
24 |
2106 |
18 |
1615 |
22 |
1438 |
23 |
1177 |
21 |
2358 |
24 |
1261 |
20 |
826 |
23 |
948 |
25 |
1343 |
25 |
1205 |
24 |
1990 |
23 |
447 |
21 |
547 |
18 |
1612 |
18 |
1324 |
24 |
1616 |
18 |
711 |
18 |
809 |
24 |
579 |
22 |
2275 |
24 |
1710 |
22 |
776 |
25 |
1859 |
19 |
824 |
19 |
2329 |
21 |
871 |
18 |
1377 |
25 |
651 |
18 |
997 |
22 |
1464 |
18 |
861 |
24 |
698 |
22 |
1367 |
23 |
1355 |
22 |
1931 |
18 |
2091 |
22 |
554 |
25 |
209 |
22 |
525 |
22 |
1908 |
21 |
536 |
22 |
1098 |
19 |
294 |
25 |
942 |
23 |
Answer the following questions
1. Look at the questionnaire and the manner in which the data was collected and identify any potential problems with using this as an evaluation tool.
2. Find the Mean stress level of the sample.
3. Find the Median stress level of the sample
4. Find the Mode of the stress level for the students
5. Find the Standard Deviation of the stress level for the random sample of 100 students.
6. Find the Variance of the stress level for the random sample of 100 students.
7. Find the Range of the stress level of the 100 students.
8. Create a Frequency Table for the stress level from the 100 college students. (Include classes, frequency, relative frequency, and cumulative frequency)
9. Using the Frequency table, create a Histogram of the stress levels from the sample of 100 college students.
10.Discuss the distribution of the data based on the histogram
11.Make a Scatter Plot of age vs. stress level. Do you see a trend?
12.Is there a linear correlation between the age of the student and the stress level? (Hint: Pearson’s Correlation Coefficient) Show your calculations.
13.Find the Least Squares Regression Line to fit the data displayed in the scatter plot from problem 11.
14.Use the Least Square Regression line to find the stress level of a 25-year-old undergraduate.
Subject | Mathematics |
Due By (Pacific Time) | ma17 |
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