In: Statistics and Probability
The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied year round. Approximate the mean and standard deviation square footage.
Square footage | Lower Limit | Upper Limit | Frequency |
0-499 | 0 | 499 | 5 |
500-999 | 500 | 999 | 17 |
1000-1499 | 1000 | 1499 | 33 |
1500-1999 | 1500 | 1999 | 121 |
2000-2499 | 2000 | 2499 | 119 |
2500-2999 | 2500 | 2999 | 81 |
3000-3499 | 3000 | 3499 | 47 |
3500-3999 | 3500 | 3999 | 41 |
4000-4499 | 4000 | 4499 | 26 |
4500-4999 | 4500 | 4999 | 10 |
Mean = 2443.50
Standard deviation = 925.94
Formula Reference and calculation procedure: