In: Statistics and Probability
The coin size data (measured in millimeters) collected from each
group is shown below.
Low Income | High Income |
---|---|
25 | 22 |
20 | 24 |
17 | 19 |
20 | 22 |
26 | 24 |
27 | 20 |
24 | 22 |
20 | 15 |
21 | 16 |
21 | 9 |
24 | 20 |
21 | 22 |
25 | 23 |
20 | 17 |
24 | 19 |
24 | |
21 | |
24 | |
21 | |
21 |
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questions.
2. 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:
pls very urgent
Ans. Note :- For calculating Median, we arrage Low income group and High Income group in ascending order.
Obs. | Low Income(x) | x2 | Obs. | High Income (y) | y2 | |
1 | 17 | 289 | 1 | 9 | 81 | |
2 | 20 | 400 | 2 | 15 | 225 | |
3 | 20 | 400 | 3 | 16 | 256 | |
4 | 20 | 400 | 4 | 17 | 289 | |
5 | 20 | 400 | 5 | 19 | 361 | |
6 | 21 | 441 | 6 | 19 | 361 | |
7 | 21 | 441 | 7 | 20 | 400 | |
8 | 21 | 441 | 8 | 20 | 400 | |
9 | 21 | 441 | 9 | 22 | 484 | |
10 | 21 | 441 | 10 | 22 | 484 | |
11 | 21 | 441 | 11 | 22 | 484 | |
12 | 24 | 576 | 12 | 22 | 484 | |
13 | 24 | 576 | 13 | 23 | 529 | |
14 | 24 | 576 | 14 | 24 | 576 | |
15 | 24 | 576 | 15 | 24 | 576 | |
16 | 24 | 576 | SUM = | 294 | 5990 | |
17 | 25 | 625 | ||||
18 | 25 | 625 | ||||
19 | 26 | 676 | ||||
20 | 27 | 729 | ||||
SUM = | 446 | 10070 |