FINDING MEASURES OF CENTER & VARIANCE: The coin size data (measured in millimeters) collected from each group is shown below. Low Income High Income 21 22 27 17 23 18 21 20 23 17 30 18 26 9 24 21 30 21 26 21 14 19 24 24 23 16 23 18 32 18 26 21 25 16 21 17 32 24 21 14 14 14 29 23 23 18 18 21 28 17 17 14 39 15 27 20 27 20 25 26 32 21 28 23 11 15 21 25 21 16 20 28 17 15 18 You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. OR You can use your calculator or some other kind of technology to compute the values OR You can try to compute them all by hand (I do not recommend this option). When dealing with research statistics it is very common to utilize a computer aid (either calculator or system like excel). PLEASE give your answers to at least 3 decimal places accuracy. Keep the data in Excel, as you will need this information again in later questions. Compute the following summary statistics a) The mean for the low income group is: b) The median for the low income group is: c) The standard deviation for the low income group is:
FINDING MEASURES OF CENTER & VARIANCE:
The coin size data (measured in millimeters) collected from each group is shown below.
| Low Income | High Income |
|---|---|
| 21 | 22 |
| 27 | 17 |
| 23 | 18 |
| 21 | 20 |
| 23 | 17 |
| 30 | 18 |
| 26 | 9 |
| 24 | 21 |
| 30 | 21 |
| 26 | 21 |
| 14 | 19 |
| 24 | 24 |
| 23 | 16 |
| 23 | 18 |
| 32 | 18 |
| 26 | 21 |
| 25 | 16 |
| 21 | 17 |
| 32 | 24 |
| 21 | 14 |
| 14 | 14 |
| 29 | 23 |
| 23 | 18 |
| 18 | 21 |
| 28 | 17 |
| 17 | 14 |
| 39 | 15 |
| 27 | 20 |
| 27 | 20 |
| 25 | 26 |
| 32 | 21 |
| 28 | 23 |
| 11 | 15 |
| 21 | 25 |
| 21 | 16 |
| 20 | |
| 28 | |
| 17 | |
| 15 | |
| 18 |
You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu.
OR
You can use your calculator or some other kind of technology to compute the values
OR
You can try to compute them all by hand (I do not recommend this option). When dealing with research statistics it is very common to utilize a computer aid (either calculator or system like excel).
PLEASE give your answers to at least 3 decimal places accuracy. Keep the data in Excel, as you will need this information again in later questions.
Compute the following summary statistics
a) The mean for the low income group is:
b) The median for the low income group is:
c) The standard deviation for the low income group is:
d) The mean for the high income group is:
e) The median for the high income group is:
f) The standard deviation for the high income group is:
g) Create a graphical representation of the data from both groups. Choose a graph type that is appropriate for the data, and that helps you compare the two groups.
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