Application
Zaniya
STA2023ExampleApplication2018.docxSTA2023 Example for Application: Sample Data, Statistics, and the Empirical Rule
Do not number these items in your application. Create a single document with these items, numbering the tables and graph as stated in the assignment.
Item 1: Title Page
Item 2: Introduction
Item 3: Tables and Graph
|
25.7 |
30.7 |
32.5 |
33.5 |
36.0 |
38.5 |
|
26.7 |
30.7 |
32.6 |
34.2 |
36.2 |
38.6 |
|
27.2 |
31.0 |
33.1 |
34.3 |
36.2 |
38.6 |
|
28.4 |
31.1 |
33.2 |
34.9 |
36.5 |
39.4 |
|
29.2 |
31.5 |
33.3 |
35.2 |
36.8 |
39.6 |
|
29.7 |
31.8 |
33.3 |
35.5 |
37.0 |
40.4 |
|
30.0 |
32.0 |
33.4 |
35.7 |
37.4 |
40.8 |
|
30.6 |
32.2 |
33.4 |
35.8 |
37.7 |
42.6 |
Table 1: Sorted Set of Sample Data
|
Data Values |
Frequency |
|
25.0-26.9 |
2 |
|
27.0-28.9 |
2 |
|
29.0-30.9 |
6 |
|
31.0-32.9 |
8 |
|
33.0-34.9 |
10 |
|
35.0-36.9 |
9 |
|
37.0-38.9 |
6 |
|
39.0-40.9 |
4 |
|
41.0-42.9 |
1 |
Table 2: Frequency Distribution
Graph 1: Histogram
|
Data Values |
Frequency |
|
25.95 |
2 |
|
27.95 |
2 |
|
29.95 |
6 |
|
31.95 |
8 |
|
33.95 |
10 |
|
35.95 |
9 |
|
37.95 |
6 |
|
39.95 |
4 |
|
41.95 |
1 |
Table 3: Frequency Distribution with Midpoints
|
Statistic |
Value |
|
|
34.08 |
|
Median |
33.95 |
|
s |
3.77 |
|
s2 |
14.20 |
|
n |
48 |
|
Range |
16.9 |
|
Modal Class |
33.0-34.9 |
Table 4: Summary Statistics
|
Sample size: n=48 |
||||
|
Category of Empirical Rule |
number of data values which should be within cut off values |
lower cut-off |
upper cut-off |
number of data values which actually are within cut-off values |
|
68% |
33 |
– s = 30.31 |
+ s = 37.85 |
33 |
|
95% |
46 |
– 2s = 26.54 |
+ 2s = 41.26 |
46 |
|
99.70% |
48 |
– 3s = 22.77 |
+ 3s = 45.39 |
48 |
Table 5: The Empirical Rule
Item 4: Summary
Histogram
Frequency 25.0-26.9 27.0-28.9 29.0-30.9 31.0-32.9 33.0-34.9 35.0-36.9 37.0-38.9 39.0-40.9 41.0-42.9 2 2 6 8 10 9 6 4 1
Data Values
Frequency
