Homework Answers
Answer:
Mean = 44.70
Standard Deviation = 10.30
| Class | Frequency(f) | Midpoint (m) | f*m | (m - x̅) | (m - x̅)² | f* (m - x̅)² |
| 25-34 | 21.2 | 29.5 | 625.4 | -15.2011 | 231.0733467 | 4898.754951 |
| 35-44 | 32.8 | 39.5 | 1295.6 | -5.2011 | 27.05140888 | 887.2862113 |
| 45-54 | 32.7 | 49.5 | 1618.65 | 4.798903 | 23.02947104 | 753.063703 |
| 55-64 | 22.7 | 59.5 | 1350.65 | 14.7989 | 219.0075332 | 4971.471004 |
| 109.4 | 4890.3 | 11510.57587 |
Mean (x̅) =∑(F*m)/ ∑f = 4890.3 / 109.4 = 44.70
Standard Deviation (s) = √(∑( f* (m - x̅)²)/ ∑f-1 ) = √(
11510.57587 / 109.4 - 1 ) = 10.30
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