Thirty-nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. |
Vacancy Rate (in percent) | Frequency |
0 up to 3 | 7 |
3 up to 6 | 4 |
6 up to 9 | 9 |
9 up to 12 | 6 |
12 up to 15 | 13 |
a. |
Calculate the average vacancy rate. (Round your answer to 2 decimal places.) |
Average vacancy rate |
b. |
Calculate the variance and the standard deviation for this sample. (Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.) |
Variance | |
Standard deviation | |
Frequency(f) | M | fM | m-u | (M-u)^2 | f(M-u)^2 |
7 | 1.5 | 10.5 | -7.077 | 50.08393 | 350.5875 |
4 | 4.5 | 18 | -4.077 | 16.62193 | 66.48772 |
9 | 7.5 | 67.5 | -1.077 | 1.159929 | 10.43936 |
6 | 10.5 | 63 | 1.923 | 3.697929 | 22.18757 |
13 | 13.5 | 175.5 | 4.923 | 24.23593 | 315.0671 |
N = 39
Thirty-nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency...
Twenty-nine cities provided information on vacancy rates (in percent) for local apartments in the following frequency distribution. Vacancy Rate (in percent) Frequency 0 up to 3 7 3 up to 6 4 6 up to 9 8 9 up to 12 5 12 up to 15 5 b. Calculate the variance and the standard deviation for this sample. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) 2 decimal spaces required* Variance: Standard...
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Consider a sample with 10 observations of 11, –3, 8, 8, 10, 1, –2, 13, 8, and –4. Use z-scores to determine if there are any outliers in the data; assume a bell-shaped distribution. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.) The z-score for the smallest observation The z-score for the largest observation There are outliers or no outliers in the data. The historical returns on a portfolio had...
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